John MacLeod Ball - Author Profile

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Ball, John MacLeod

Author ID:	ball.john-m
Published as:	Ball, J. M.; Ball, John M.; Ball, John more...less
Homepage:	https://people.maths.ox.ac.uk/ball/index.htm
External Links:	MGP · Wikidata · Google Scholar · ResearchGate · GND · IdRef · theses.fr

Documents Indexed:	101 Publications since 1973, including 7 Additional arXiv Preprints
	8 Contributions as Editor · 3 Further Contributions
Biographic References:	3 Publications
Co-Authors:	46 Co-Authors with 58 Joint Publications
	1,903 Co-Co-Authors

all top 5

Co-Authors

49	single-authored
9	James, Richard D.
6	Carr, Jack
4	Koumatos, Konstantinos
4	Slemrod, Marshall
3	Marsden, Jerrold Eldon
3	Müller, Stefan
3	Murat, François
3	Peletier, Lambertus Adrianus
2	Horner, Christopher L.
2	Mizel, Victor J.
2	Seiner, Hanuš
2	Zarnescu, Arghir Dani
1	Andrews, Graham
1	Bedford, S. J.
1	Canevari, Giacomo
1	Capdeboscq, Yves
1	Carstensen, Carsten
1	Chen, Gui-Qiang G.
1	Crooks, Elaine C. M.
1	Currie, J. C.
1	Dacorogna, Bernard
1	Evans, Lawrence Craig
1	Feireisl, Eduard
1	Fusco, Nicola
1	Holmes, Philip J.
1	Hunt, Julian C. R.
1	Jimack, Peter K.
1	Kinderlehrer, David
1	Kirchheim, Bernd
1	Knops, Robin J.
1	Kristensen, Jan
1	Majumdar, Apala
1	Marcellini, Paolo
1	Mora-Corral, Carlos
1	Nadirashvili, Nikolai S.
1	Olver, Peter John
1	Otto, Felix
1	Pego, Robert Leo
1	Penrose, Oliver
1	Podio-Guidugli, Paulo
1	Rocca, Elisabetta
1	Sanz-Solé, Marta
1	Schaeffer, David G.
1	Schryvers, D.
1	Şengül, Yasemin
1	Stroffolini, Bianca
1	Šverák, Vladimír
1	Swart, Pieter J.
1	Taheri, Ali
1	Tang, Qi
1	Tsering-Xiao, Basang
1	Winter, Matthias
1	Zhang, Kewei

all top 5

Serials

11	Archive for Rational Mechanics and Analysis
6	Calculus of Variations and Partial Differential Equations
4	Journal of Differential Equations
4	Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3	Journal of Functional Analysis
3	Proceedings of the American Mathematical Society
2	Mathematical Proceedings of the Cambridge Philosophical Society
2	Quarterly of Applied Mathematics
2	M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2	Journal of Nonlinear Science
2	Oberwolfach Reports
2	Lecture Notes in Mathematics
1	Communications in Mathematical Physics
1	Communications on Pure and Applied Mathematics
1	Journal of Mathematical Analysis and Applications
1	Journal of Statistical Physics
1	ZAMP. Zeitschrift für angewandte Mathematik und Physik
1	Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
1	Applied Mathematics and Optimization
1	Duke Mathematical Journal
1	Journal of the London Mathematical Society. Second Series
1	Numerische Mathematik
1	Pacific Journal of Mathematics
1	Philosophical Transactions of the Royal Society of London. Ser. A
1	The Quarterly Journal of Mathematics. Oxford Second Series
1	SIAM Journal on Control and Optimization
1	Journal of Elasticity
1	Journal de Mathématiques Pures et Appliquées. Neuvième Série
1	Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
1	Bulletin of the American Mathematical Society. New Series
1	Journal of Dynamics and Differential Equations
1	Philosophical Transactions of the Royal Society of London. Series A
1	Discrete and Continuous Dynamical Systems
1	Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1	Communications on Pure and Applied Analysis
1	NATO ASI Series. Series C. Mathematical and Physical Sciences

all top 5

Fields

54	Mechanics of deformable solids (74-XX)
36	Calculus of variations and optimal control; optimization (49-XX)
33	Partial differential equations (35-XX)
13	Ordinary differential equations (34-XX)
10	General and overarching topics; collections (00-XX)
9	Fluid mechanics (76-XX)
8	Operator theory (47-XX)
7	Dynamical systems and ergodic theory (37-XX)
6	Real functions (26-XX)
5	Functional analysis (46-XX)
5	General topology (54-XX)
5	Statistical mechanics, structure of matter (82-XX)
4	History and biography (01-XX)
4	Systems theory; control (93-XX)
3	Global analysis, analysis on manifolds (58-XX)
2	Harmonic analysis on Euclidean spaces (42-XX)
2	Statistics (62-XX)
2	Numerical analysis (65-XX)
2	Mechanics of particles and systems (70-XX)
2	Optics, electromagnetic theory (78-XX)
1	Measure and integration (28-XX)
1	Several complex variables and analytic spaces (32-XX)
1	Approximations and expansions (41-XX)
1	Integral equations (45-XX)
1	Convex and discrete geometry (52-XX)
1	Manifolds and cell complexes (57-XX)
1	Probability theory and stochastic processes (60-XX)
1	Classical thermodynamics, heat transfer (80-XX)
1	Astronomy and astrophysics (85-XX)
1	Biology and other natural sciences (92-XX)
1	Information and communication theory, circuits (94-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

88 Publications have been cited 6,272 times in 4,328 Documents	Cited by ▼	Year ▼
Convexity conditions and existence theorems in nonlinear elasticity. Zbl 0368.73040 Ball, John M.	1,095	1977
Fine phase mixtures as minimizers of energy. Zbl 0629.49020 Ball, J. M.; James, R. D.	467	1987
Global attractors for damped semilinear wave equations. Zbl 1056.37084 Ball, J. M.	320	2004
Remarks on blow-up and nonexistence theorems for nonlinear evolution equations. Zbl 0377.35037 Ball, J. M.	308	1977
A version of the fundamental theorem for Young measures. Zbl 0991.49500 Ball, J. M.	284	1989
Discontinuous equilibrium solutions and cavitation in nonlinear elasticity. Zbl 0513.73020 Ball, J. M.	255	1982
\(W^{1,p}\)-quasiconvexity and variational problems for multiple integrals. Zbl 0549.46019 Ball, J. M.; Murat, F.	245	1984
Proposed experimental tests of a theory of fine microstructure and the two-well problem. Zbl 0758.73009 Ball, J. M.; James, R. D.	228	1992
Some open problems in elasticity. Zbl 1054.74008 Ball, John M.	208	2002
Continuity properties and global attractors of generalized semiflows and the Navier-Stokes equations. Zbl 0903.58020 Ball, J. M.	204	1997
Initial-boundary value problems for an extensible beam. Zbl 0254.73042 Ball, J. M.	178	1973
Global invertibility of Sobolev functions and the interpenetration of matter. Zbl 0478.46032 Ball, J. M.	172	1981
Null Lagrangians, weak continuity, and variational problems of arbitrary order. Zbl 0459.35020 Ball, J. M.; Currie, J. C.; Olver, P. J.	158	1981
Strongly continuous semigroups, weak solutions, and the variation of constants formula. Zbl 0353.47017 Ball, J. M.	140	1977
Controllability for distributed bilinear systems. Zbl 0485.93015 Ball, J. M.; Marsden, J. E.; Slemrod, M.	138	1982
Stability theory for an extensible beam. Zbl 0247.73054 Ball, J. M.	127	1973
Orientability and energy minimization in liquid crystal models. Zbl 1263.76010 Ball, John M.; Zarnescu, Arghir	107	2011
On the asymptotic behavior of generalized processes, with applications to nonlinear evolution equations. Zbl 0376.35002 Ball, J. M.	101	1978
The discrete coagulation-fragmentation equations: existence, uniqueness, and density conservation. Zbl 1217.82050 Ball, John M.; Carr, Jack	100	1990
Feedback stabilization of distributed semilinear control systems. Zbl 0405.93030 Ball, J. M.; Slemrod, M.	95	1979
One-dimensional variational problems whose minimizers do not satisfy the Euler-Lagrange equation. Zbl 0585.49002 Ball, J. M.; Mizel, V. J.	92	1985
The Becker-Döring cluster equations: Basic properties and asymptotic behaviour of solutions. Zbl 0594.58063 Ball, J. M.; Carr, J.; Penrose, O.	92	1986
Asymptotic behaviour and changes of phase in one-dimensional nonlinear viscoelasticity. Zbl 0501.35011 Andrews, G.; Ball, J. M.	88	1982
Constitutive inequalities and existence theorems in nonlinear elastostatics. Zbl 0377.73043 Ball, J. M.	86	1977
Quasiconvexity at the boundary, positivity of the second variation and elastic stability. Zbl 0552.73006 Ball, J. M.; Marsden, J. E.	70	1984
Remarks on Chacon’s biting lemma. Zbl 0678.46023 Ball, J. M.; Murat, F.	64	1989
Regularity of quasiconvex envelopes. Zbl 0972.49024 Ball, John M.; Kirchheim, Bernd; Kristensen, Jan	57	2000
Differentiability properties of symmetric and isotropic functions. Zbl 0566.73001 Ball, J. M.	49	1984
Nonharmonic Fourier series and the stabilization of distributed semi- linear control systems. Zbl 0394.93041 Ball, J. M.; Slemrod, M.	43	1979
On the dynamics of fine structure. Zbl 0791.35030 Ball, J. M.; Holmes, P. J.; James, R. D.; Pego, R. L.; Swart, P. J.	41	1991
Bifurcation and stability of homogeneous equilibrium configurations of an elastic body under dead-load tractions. Zbl 0568.73057 Ball, J. M.; Schaeffer, D. G.	35	1983
Finite time blow-up in nonlinear problems. Zbl 0472.35060 Ball, J. M.	34	1978
Strict convexity, strong ellipticity, and regularity in the calculus of variations. Zbl 0451.35028 Ball, J. M.	33	1980
Continuity properties and global attractors of generalized semiflows and the Navier-Stokes equations. Zbl 0958.35101 Ball, J. M.	32	2000
Asymptotic behaviour of solutions to the Becker-Döring equations for arbitrary initial data. Zbl 0656.58021 Ball, J. M.; Carr, J.	31	1988
Lower semicontinuity of multiple integrals and the Biting Lemma. Zbl 0716.49011 Ball, J. M.; Zhang, K.-W.	30	1990
On uniqueness for time harmonic anisotropic Maxwell’s equations with piecewise regular coefficients. Zbl 1256.35153 Ball, John M.; Capdeboscq, Yves; Tsering-Xiao, Basang	29	2012
Singularities and computation of minimizers for variational problems. Zbl 0978.65053 Ball, J. M.	27	2001
Singular minimizers for regular one-dimensional problems in the calculus of variations. Zbl 0541.49010 Ball, John M.; Mizel, Victor J.	27	1984
Minimizers and the Euler-Lagrange equations. Zbl 0547.73013 Ball, J. M.	27	1984
Liquid crystals and their defects. Zbl 1393.35157 Ball, John M.	27	2017
A numerical method for detecting singular minimizers. Zbl 0636.65064 Ball, J. M.; Knowles, G.	20	1987
Saddle point analysis for an ordinary differential equation in a Banach space, and an application to dynamic buckling of a beam. Zbl 0288.34057 Ball, J. M.	18	1973
Weak continuity properties of mappings and semigroups. Zbl 0337.47028 Ball, J. M.	18	1975
Fundamental contributions to the continuum theory of evolving phase interfaces in solids. A collection of reprints of 14 seminal papers, dedicated to Morton E. Gurtin on the occasion of his sixty-fifth birthday. Zbl 0968.74003	18	1999
Sets of gradients with no rank-one connections. Zbl 0644.49011 Ball, John M.	17	1990
The calculus of variations and materials science. Zbl 0959.49001 Ball, J. M.	16	1998
Local minimizers and planar interfaces in a phase-transition model with interfacial energy. Zbl 1431.49011 Ball, J. M.; Crooks, E. C. M.	14	2011
Remarks on the paper ”Basic calculus of variations”. Zbl 0553.49012 Ball, J. M.	13	1985
Incompatible sets of gradients and metastability. Zbl 1343.49041 Ball, J. M.; James, R. D.	13	2015
A variational model allowing both smooth and sharp phase boundaries in solids. Zbl 1152.74316 Ball, John M.; Mora-Corral, Carlos	13	2009
Universal singular sets for one-dimensional variational problems. Zbl 0896.49022 Ball, J. M.; Nadirashvili, N. S.	12	1993
Stabilization of concentration profiles in catalyst particles. Zbl 0314.35053 Ball, J. M.; Peletier, L. A.	10	1976
Partial regularity and smooth topology-preserving approximations of rough domains. Zbl 1370.41030 Ball, John M.; Zarnescu, Arghir	10	2017
On the calculus of variations and sequentially weakly continuous maps. Zbl 0348.49004 Ball, J. M.	9	1976
Quasiconvexity at the boundary and the nucleation of austenite. Zbl 1395.74074 Ball, J. M.; Koumatos, K.	9	2016
Continuity properties of nonlinear semigroups. Zbl 0287.47045 Ball, J. M.	8	1974
Remarks on rank-one convexity and quasi convexity. Zbl 0751.49005 Ball, J. M.; Murat, F.	8	1991
Global attraction for the one-dimensional heat equation with nonlinear time-dependent boundary conditions. Zbl 0363.35014 Ball, J. M.; Peletier, L. A.	7	1977
The scientific life and influence of Clifford Ambrose Truesdell III. Zbl 0988.01007 Ball, J. M.; James, R. D.	6	2002
Decay to zero in critical cases of second order ordinary differential equations of Duffing type. Zbl 0356.34041 Ball, J. M.; Carr, J.	6	1976
Does rank-one convexity imply quasiconvexity? Zbl 0613.49014 Ball, J. M.	6	1987
Quasistatic nonlinear viscoelasticity and gradient flows. Zbl 1368.35039 Ball, J. M.; Şengül, Y.	6	2015
Local minimizers in micromagnetics and related problems. Zbl 1005.49002 Ball, J. M.; Taheri, A.; Winter, M.	5	2002
A characterization of plane strain. Zbl 0721.73004 Ball, J. M.; James, R. D.	5	1991
Lyapunov functions for thermomechanics with spatially varying boundary temperatures. Zbl 0624.73006 Ball, J. M.; Knowles, G.	5	1986
Some recent developments in nonlinear elasticity and its applications to materials science. Zbl 0870.73010 Ball, J. M.	4	1996
Two examples in nonlinear elasticity. Zbl 0386.73012 Ball, J. M.; Knops, R. J.; Marsden, J. E.	4	1978
Existence of solutions in finite elasticity. Zbl 0518.73031 Ball, J. M.	4	1982
Systems of nonlinear partial differential equations. (Proceedings of the NATO Advanced Study Institute on Systems of Nonlinear Partial Differential Equations, Oxford, U.K., July 25 - August 7, 1982). Zbl 0514.00014	4	1983
An investigation of non-planar austenite-martensite interfaces. Zbl 1350.74020 Ball, J. M.; Koumatos, K.	4	2014
Local minimizers and phase transformations. Zbl 0918.49019 Ball, J. M.; James, R. D.	3	1996
Material instabilities and the calculus of variations. Zbl 0591.73021 Ball, J. M.	3	1984
Remarques sur l’existence et la régularité des solutions d’élastostatique non linéaire. Zbl 0466.73012 Ball, John M.	3	1981
Entropy and convexity for nonlinear partial differential equations. Zbl 1292.35121 Ball, John M.; Chen, Gui-Qiang G.	3	2013
The formation of macrotwins in NiAl martensite. Zbl 1053.74602 Ball, J. M.; Schryvers, D.	3	2002
Material instability in continuum mechanics. Related mathematical problems. The Proceedings of a Symposium Year on Material Instabilities in Continuum Mechanics organized by the Department of Mathematics, Heriot-Watt University, Edinburgh, 1985-1986. Zbl 0627.00023	3	1988
Singular minimizers and their significance in elasticity. Zbl 0657.73015 Ball, J. M.	3	1987
ICIAM 99. Proceedings of the 4th international congress on industrial & applied mathematics, Edinburgh, GB, July 5–9, 1999. Zbl 0970.62003	2	2000
New directions in differential equations and dynamical systems. A collection of papers dedicated to J. K. Hale on the occasion of his 60th birthday. Zbl 0726.00012	2	1991
Loss of the constraint in convex variational problems. Zbl 0688.49005 Ball, J. M.	2	1988
Young measures and minimization problems of mechanics. Zbl 0726.73015 Ball, J. M.; Knowles, G.	2	1990
Coagulation-fragmentation dynamics. Zbl 0661.34050 Ball, J. M.; Carr, J.	2	1987
Stabilization of concentration profiles in catalyst particles. Zbl 0289.35051 Ball, J. M.; Peletier, L. A.	1	1975
Energy-minimizing configurations in nonlinear elasticity. Zbl 0567.73020 Ball, J. M.	1	1984
Measurability and continuity conditions for nonlinear evolutionary processes. Zbl 0329.47026 Ball, John M.	1	1976
Weak convergence theorems for nonlinear partial differential equations of first and second order. Zbl 0499.35009 Ball, John M.; Evans, Lawrence C.	1	1982
Dynamics and minimizing sequences. Zbl 0705.49023 Ball, J. M.	1	1990
Liquid crystals and their defects. Zbl 1393.35157 Ball, John M.	27	2017
Partial regularity and smooth topology-preserving approximations of rough domains. Zbl 1370.41030 Ball, John M.; Zarnescu, Arghir	10	2017
Quasiconvexity at the boundary and the nucleation of austenite. Zbl 1395.74074 Ball, J. M.; Koumatos, K.	9	2016
Incompatible sets of gradients and metastability. Zbl 1343.49041 Ball, J. M.; James, R. D.	13	2015
Quasistatic nonlinear viscoelasticity and gradient flows. Zbl 1368.35039 Ball, J. M.; Şengül, Y.	6	2015
An investigation of non-planar austenite-martensite interfaces. Zbl 1350.74020 Ball, J. M.; Koumatos, K.	4	2014
Entropy and convexity for nonlinear partial differential equations. Zbl 1292.35121 Ball, John M.; Chen, Gui-Qiang G.	3	2013
On uniqueness for time harmonic anisotropic Maxwell’s equations with piecewise regular coefficients. Zbl 1256.35153 Ball, John M.; Capdeboscq, Yves; Tsering-Xiao, Basang	29	2012
Orientability and energy minimization in liquid crystal models. Zbl 1263.76010 Ball, John M.; Zarnescu, Arghir	107	2011
Local minimizers and planar interfaces in a phase-transition model with interfacial energy. Zbl 1431.49011 Ball, J. M.; Crooks, E. C. M.	14	2011
A variational model allowing both smooth and sharp phase boundaries in solids. Zbl 1152.74316 Ball, John M.; Mora-Corral, Carlos	13	2009
Global attractors for damped semilinear wave equations. Zbl 1056.37084 Ball, J. M.	320	2004
Some open problems in elasticity. Zbl 1054.74008 Ball, John M.	208	2002
The scientific life and influence of Clifford Ambrose Truesdell III. Zbl 0988.01007 Ball, J. M.; James, R. D.	6	2002
Local minimizers in micromagnetics and related problems. Zbl 1005.49002 Ball, J. M.; Taheri, A.; Winter, M.	5	2002
The formation of macrotwins in NiAl martensite. Zbl 1053.74602 Ball, J. M.; Schryvers, D.	3	2002
Singularities and computation of minimizers for variational problems. Zbl 0978.65053 Ball, J. M.	27	2001
Regularity of quasiconvex envelopes. Zbl 0972.49024 Ball, John M.; Kirchheim, Bernd; Kristensen, Jan	57	2000
Continuity properties and global attractors of generalized semiflows and the Navier-Stokes equations. Zbl 0958.35101 Ball, J. M.	32	2000
ICIAM 99. Proceedings of the 4th international congress on industrial & applied mathematics, Edinburgh, GB, July 5–9, 1999. Zbl 0970.62003	2	2000
Fundamental contributions to the continuum theory of evolving phase interfaces in solids. A collection of reprints of 14 seminal papers, dedicated to Morton E. Gurtin on the occasion of his sixty-fifth birthday. Zbl 0968.74003	18	1999
The calculus of variations and materials science. Zbl 0959.49001 Ball, J. M.	16	1998
Continuity properties and global attractors of generalized semiflows and the Navier-Stokes equations. Zbl 0903.58020 Ball, J. M.	204	1997
Some recent developments in nonlinear elasticity and its applications to materials science. Zbl 0870.73010 Ball, J. M.	4	1996
Local minimizers and phase transformations. Zbl 0918.49019 Ball, J. M.; James, R. D.	3	1996
Universal singular sets for one-dimensional variational problems. Zbl 0896.49022 Ball, J. M.; Nadirashvili, N. S.	12	1993
Proposed experimental tests of a theory of fine microstructure and the two-well problem. Zbl 0758.73009 Ball, J. M.; James, R. D.	228	1992
On the dynamics of fine structure. Zbl 0791.35030 Ball, J. M.; Holmes, P. J.; James, R. D.; Pego, R. L.; Swart, P. J.	41	1991
Remarks on rank-one convexity and quasi convexity. Zbl 0751.49005 Ball, J. M.; Murat, F.	8	1991
A characterization of plane strain. Zbl 0721.73004 Ball, J. M.; James, R. D.	5	1991
New directions in differential equations and dynamical systems. A collection of papers dedicated to J. K. Hale on the occasion of his 60th birthday. Zbl 0726.00012	2	1991
The discrete coagulation-fragmentation equations: existence, uniqueness, and density conservation. Zbl 1217.82050 Ball, John M.; Carr, Jack	100	1990
Lower semicontinuity of multiple integrals and the Biting Lemma. Zbl 0716.49011 Ball, J. M.; Zhang, K.-W.	30	1990
Sets of gradients with no rank-one connections. Zbl 0644.49011 Ball, John M.	17	1990
Young measures and minimization problems of mechanics. Zbl 0726.73015 Ball, J. M.; Knowles, G.	2	1990
Dynamics and minimizing sequences. Zbl 0705.49023 Ball, J. M.	1	1990
A version of the fundamental theorem for Young measures. Zbl 0991.49500 Ball, J. M.	284	1989
Remarks on Chacon’s biting lemma. Zbl 0678.46023 Ball, J. M.; Murat, F.	64	1989
Asymptotic behaviour of solutions to the Becker-Döring equations for arbitrary initial data. Zbl 0656.58021 Ball, J. M.; Carr, J.	31	1988
Material instability in continuum mechanics. Related mathematical problems. The Proceedings of a Symposium Year on Material Instabilities in Continuum Mechanics organized by the Department of Mathematics, Heriot-Watt University, Edinburgh, 1985-1986. Zbl 0627.00023	3	1988
Loss of the constraint in convex variational problems. Zbl 0688.49005 Ball, J. M.	2	1988
Fine phase mixtures as minimizers of energy. Zbl 0629.49020 Ball, J. M.; James, R. D.	467	1987
A numerical method for detecting singular minimizers. Zbl 0636.65064 Ball, J. M.; Knowles, G.	20	1987
Does rank-one convexity imply quasiconvexity? Zbl 0613.49014 Ball, J. M.	6	1987
Singular minimizers and their significance in elasticity. Zbl 0657.73015 Ball, J. M.	3	1987
Coagulation-fragmentation dynamics. Zbl 0661.34050 Ball, J. M.; Carr, J.	2	1987
The Becker-Döring cluster equations: Basic properties and asymptotic behaviour of solutions. Zbl 0594.58063 Ball, J. M.; Carr, J.; Penrose, O.	92	1986
Lyapunov functions for thermomechanics with spatially varying boundary temperatures. Zbl 0624.73006 Ball, J. M.; Knowles, G.	5	1986
One-dimensional variational problems whose minimizers do not satisfy the Euler-Lagrange equation. Zbl 0585.49002 Ball, J. M.; Mizel, V. J.	92	1985
Remarks on the paper ”Basic calculus of variations”. Zbl 0553.49012 Ball, J. M.	13	1985
\(W^{1,p}\)-quasiconvexity and variational problems for multiple integrals. Zbl 0549.46019 Ball, J. M.; Murat, F.	245	1984
Quasiconvexity at the boundary, positivity of the second variation and elastic stability. Zbl 0552.73006 Ball, J. M.; Marsden, J. E.	70	1984
Differentiability properties of symmetric and isotropic functions. Zbl 0566.73001 Ball, J. M.	49	1984
Singular minimizers for regular one-dimensional problems in the calculus of variations. Zbl 0541.49010 Ball, John M.; Mizel, Victor J.	27	1984
Minimizers and the Euler-Lagrange equations. Zbl 0547.73013 Ball, J. M.	27	1984
Material instabilities and the calculus of variations. Zbl 0591.73021 Ball, J. M.	3	1984
Energy-minimizing configurations in nonlinear elasticity. Zbl 0567.73020 Ball, J. M.	1	1984
Bifurcation and stability of homogeneous equilibrium configurations of an elastic body under dead-load tractions. Zbl 0568.73057 Ball, J. M.; Schaeffer, D. G.	35	1983
Systems of nonlinear partial differential equations. (Proceedings of the NATO Advanced Study Institute on Systems of Nonlinear Partial Differential Equations, Oxford, U.K., July 25 - August 7, 1982). Zbl 0514.00014	4	1983
Discontinuous equilibrium solutions and cavitation in nonlinear elasticity. Zbl 0513.73020 Ball, J. M.	255	1982
Controllability for distributed bilinear systems. Zbl 0485.93015 Ball, J. M.; Marsden, J. E.; Slemrod, M.	138	1982
Asymptotic behaviour and changes of phase in one-dimensional nonlinear viscoelasticity. Zbl 0501.35011 Andrews, G.; Ball, J. M.	88	1982
Existence of solutions in finite elasticity. Zbl 0518.73031 Ball, J. M.	4	1982
Weak convergence theorems for nonlinear partial differential equations of first and second order. Zbl 0499.35009 Ball, John M.; Evans, Lawrence C.	1	1982
Global invertibility of Sobolev functions and the interpenetration of matter. Zbl 0478.46032 Ball, J. M.	172	1981
Null Lagrangians, weak continuity, and variational problems of arbitrary order. Zbl 0459.35020 Ball, J. M.; Currie, J. C.; Olver, P. J.	158	1981
Remarques sur l’existence et la régularité des solutions d’élastostatique non linéaire. Zbl 0466.73012 Ball, John M.	3	1981
Strict convexity, strong ellipticity, and regularity in the calculus of variations. Zbl 0451.35028 Ball, J. M.	33	1980
Feedback stabilization of distributed semilinear control systems. Zbl 0405.93030 Ball, J. M.; Slemrod, M.	95	1979
Nonharmonic Fourier series and the stabilization of distributed semi- linear control systems. Zbl 0394.93041 Ball, J. M.; Slemrod, M.	43	1979
On the asymptotic behavior of generalized processes, with applications to nonlinear evolution equations. Zbl 0376.35002 Ball, J. M.	101	1978
Finite time blow-up in nonlinear problems. Zbl 0472.35060 Ball, J. M.	34	1978
Two examples in nonlinear elasticity. Zbl 0386.73012 Ball, J. M.; Knops, R. J.; Marsden, J. E.	4	1978
Convexity conditions and existence theorems in nonlinear elasticity. Zbl 0368.73040 Ball, John M.	1,095	1977
Remarks on blow-up and nonexistence theorems for nonlinear evolution equations. Zbl 0377.35037 Ball, J. M.	308	1977
Strongly continuous semigroups, weak solutions, and the variation of constants formula. Zbl 0353.47017 Ball, J. M.	140	1977
Constitutive inequalities and existence theorems in nonlinear elastostatics. Zbl 0377.73043 Ball, J. M.	86	1977
Global attraction for the one-dimensional heat equation with nonlinear time-dependent boundary conditions. Zbl 0363.35014 Ball, J. M.; Peletier, L. A.	7	1977
Stabilization of concentration profiles in catalyst particles. Zbl 0314.35053 Ball, J. M.; Peletier, L. A.	10	1976
On the calculus of variations and sequentially weakly continuous maps. Zbl 0348.49004 Ball, J. M.	9	1976
Decay to zero in critical cases of second order ordinary differential equations of Duffing type. Zbl 0356.34041 Ball, J. M.; Carr, J.	6	1976
Measurability and continuity conditions for nonlinear evolutionary processes. Zbl 0329.47026 Ball, John M.	1	1976
Weak continuity properties of mappings and semigroups. Zbl 0337.47028 Ball, J. M.	18	1975
Stabilization of concentration profiles in catalyst particles. Zbl 0289.35051 Ball, J. M.; Peletier, L. A.	1	1975
Continuity properties of nonlinear semigroups. Zbl 0287.47045 Ball, J. M.	8	1974
Initial-boundary value problems for an extensible beam. Zbl 0254.73042 Ball, J. M.	178	1973
Stability theory for an extensible beam. Zbl 0247.73054 Ball, J. M.	127	1973
Saddle point analysis for an ordinary differential equation in a Banach space, and an application to dynamic buckling of a beam. Zbl 0288.34057 Ball, J. M.	18	1973

all cited Publications top 5 cited Publications

all top 5

Cited by 3,993 Authors

40	Wang, Bixiang
39	Ball, John MacLeod
39	Kružík, Martin
36	Conti, Sergio
35	Onninen, Jani
33	Müller, Stefan
32	Gil, Antonio J.
32	Pedregal, Pablo
32	Valero, José
31	Iwaniec, Tadeusz
31	Ortigosa, Rogelio
30	Fonseca, Irene
30	Ouzahra, Mohamed
28	Zhang, Kewei
27	Balaadich, Farah
26	Kapustyan, Oleksiy V.
26	Neff, Patrizio
25	Azroul, Elhoussine
25	Dolzmann, Georg
25	Kasyanov, Pavlo O.
25	Roubíček, Tomáš
24	Mora-Corral, Carlos
23	Yang, Zhijian
22	Ciarlet, Philippe Gaston
22	Li, Zhiping
21	Rădulescu, Vicenţiu D.
21	Sychev, Mikhail A.
20	Chen, Gui-Qiang G.
20	Dacorogna, Bernard
20	Spector, Scott J.
20	Zerrik, El Hassan
19	Henao, Duvan A.
19	Hencl, Stanislav
19	Marcellini, Paolo
19	Slemrod, Marshall
19	Yan, Baisheng
19	Zelik, Sergey V.
18	Feireisl, Eduard
18	Kristensen, Jan
18	Laurençot, Philippe
18	Zarnescu, Arghir Dani
17	Antman, Stuart S.
17	Lasiecka, Irena
17	Ortiz, Michael
17	Šilhavý, Miroslav
16	Hackl, Klaus
16	James, Richard D.
16	Miehe, Christian
16	Schröder, Jörg
16	Stefanelli, Ulisse
16	Taheri, Ali
16	Zhong, Chengkui
15	Grabovsky, Yury
15	Mardare, Cristinel
15	Messaoudi, Salim A.
15	Mielke, Alexander
15	Sivaloganathan, Jeyabal
15	Steigmann, David J.
15	Zaag, Hatem
14	Kohn, Robert Vita
14	Krömer, Stefan
14	Leonetti, Francesco
14	Martínez-Frutos, Jesús
14	Sun, Chunyou
13	Beauchard, Karine
13	Bonet, Javier
13	Canevari, Giacomo
13	Carstensen, Carsten
13	Esquivel-Avila, Jorge Alfredo
13	Giri, Ankik Kumar
13	Kalita, Piotr
13	Lopez-Pamies, Oscar
13	Malý, Jan
13	Mariconda, Carlo
13	Meng, Fengjuan
13	Rüland, Angkana
13	Simsen, Jacson
12	Caraballo Garrido, Tomás
12	DeSimone, Antonio
12	Ding, Shusen
12	Gorban, Nataliia V.
12	Goriely, Alain
12	Grasselli, Maurizio
12	Gwiazda, Piotr
12	Luskin, Mitchell
12	Martin, Robert J.
12	Rumpf, Martin
12	Truskinovsky, Lev
12	Tzavaras, Athanasios E.
12	Zaslavski, Alexander Yakovlevich
12	Zhao, Caidi
12	Zhou, Shengfan
11	Balzani, Daniel
11	Bevan, Jonathan J.
11	Boulaaras, Salah Mahmoud
11	Boutoulout, Ali
11	Carr, Jack
11	Cheng, Changjun
11	Da Costa, Fernando Pestana
11	Ghiba, Ionel-Dumitrel
...and 3,893 more Authors

all top 5

Cited in 470 Serials

270	Archive for Rational Mechanics and Analysis
173	Journal of Mathematical Analysis and Applications
153	Journal of Differential Equations
140	Journal of Elasticity
133	Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
121	Computer Methods in Applied Mechanics and Engineering
110	Calculus of Variations and Partial Differential Equations
106	Journal of the Mechanics and Physics of Solids
93	European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
87	Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
81	Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
64	Mathematical Methods in the Applied Sciences
62	M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
57	SIAM Journal on Mathematical Analysis
55	Journal of Functional Analysis
53	Discrete and Continuous Dynamical Systems. Series B
51	Mathematics and Mechanics of Solids
48	Applicable Analysis
47	ZAMP. Zeitschrift für angewandte Mathematik und Physik
45	Continuum Mechanics and Thermodynamics
43	Nonlinear Analysis. Theory, Methods & Applications
37	Physica D
36	Comptes Rendus. Mathématique. Académie des Sciences, Paris
35	Journal de Mathématiques Pures et Appliquées. Neuvième Série
34	Journal of Nonlinear Science
32	Transactions of the American Mathematical Society
30	Computational Mechanics
30	Nonlinear Analysis. Real World Applications
29	Journal of Mathematical Physics
29	Applied Mathematics Letters
28	International Journal for Numerical Methods in Engineering
27	Proceedings of the American Mathematical Society
27	Communications on Pure and Applied Analysis
25	Communications in Mathematical Physics
25	Applied Mathematics and Optimization
25	Discrete and Continuous Dynamical Systems
25	Discrete and Continuous Dynamical Systems. Series S
24	International Journal of Control
24	International Journal of Engineering Science
22	Nonlinearity
22	Communications in Partial Differential Equations
22	NoDEA. Nonlinear Differential Equations and Applications
22	Advances in Calculus of Variations
20	Systems & Control Letters
19	Applied Mathematics and Computation
19	Quarterly of Applied Mathematics
19	Zeitschrift für Analysis und ihre Anwendungen
18	Acta Mechanica
18	Communications on Pure and Applied Mathematics
18	SIAM Journal on Control and Optimization
18	The Journal of Geometric Analysis
18	Evolution Equations and Control Theory
17	Computers & Mathematics with Applications
17	Journal of Dynamics and Differential Equations
17	ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
17	Boundary Value Problems
15	Journal of Statistical Physics
15	Siberian Mathematical Journal
15	Journal of Dynamical and Control Systems
15	Communications in Contemporary Mathematics
15	Journal of Evolution Equations
14	Annali di Matematica Pura ed Applicata. Serie Quarta
14	Journal of Computational and Applied Mathematics
14	Rendiconti del Circolo Matemàtico di Palermo. Serie II
14	Acta Applicandae Mathematicae
14	Journal of Mathematical Sciences (New York)
13	Rocky Mountain Journal of Mathematics
13	Mathematische Annalen
13	SIAM Journal on Applied Mathematics
12	Journal of Computational Physics
12	Journal of Optimization Theory and Applications
12	Numerische Mathematik
12	Abstract and Applied Analysis
12	European Journal of Mechanics. A. Solids
11	Meccanica
11	Journal of Inequalities and Applications
11	Journal of Mathematical Fluid Mechanics
11	Complex Variables and Elliptic Equations
11	Set-Valued and Variational Analysis
10	Automatica
10	Duke Mathematical Journal
10	Manuscripta Mathematica
10	Mathematische Nachrichten
10	Applied Numerical Mathematics
10	Acta Mathematicae Applicatae Sinica. English Series
10	Mathematical and Computer Modelling
10	Journal of Integral Equations and Applications
10	International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
10	M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
10	Analysis and Applications (Singapore)
10	Electronic Research Archive
9	Advances in Mathematics
9	Applied Mathematics and Mechanics. (English Edition)
9	Chinese Annals of Mathematics. Series B
9	Journal of the European Mathematical Society (JEMS)
9	Acta Mathematica Sinica. English Series
9	Communications in Nonlinear Science and Numerical Simulation
9	Mediterranean Journal of Mathematics
9	Oberwolfach Reports
9	GAMM-Mitteilungen
...and 370 more Serials

all top 5

Cited in 56 Fields

2,164	Partial differential equations (35-XX)
1,590	Mechanics of deformable solids (74-XX)
861	Calculus of variations and optimal control; optimization (49-XX)
366	Fluid mechanics (76-XX)
324	Dynamical systems and ergodic theory (37-XX)
268	Numerical analysis (65-XX)
260	Systems theory; control (93-XX)
248	Statistical mechanics, structure of matter (82-XX)
220	Ordinary differential equations (34-XX)
195	Functional analysis (46-XX)
175	Real functions (26-XX)
175	Operator theory (47-XX)
144	Global analysis, analysis on manifolds (58-XX)
115	Probability theory and stochastic processes (60-XX)
99	Biology and other natural sciences (92-XX)
95	Functions of a complex variable (30-XX)
83	Integral equations (45-XX)
74	Differential geometry (53-XX)
71	Classical thermodynamics, heat transfer (80-XX)
57	Quantum theory (81-XX)
53	Optics, electromagnetic theory (78-XX)
47	Measure and integration (28-XX)
43	Mechanics of particles and systems (70-XX)
40	Potential theory (31-XX)
38	Operations research, mathematical programming (90-XX)
35	Computer science (68-XX)
34	Harmonic analysis on Euclidean spaces (42-XX)
22	General topology (54-XX)
17	Convex and discrete geometry (52-XX)
16	Linear and multilinear algebra; matrix theory (15-XX)
16	Manifolds and cell complexes (57-XX)
15	General and overarching topics; collections (00-XX)
15	Information and communication theory, circuits (94-XX)
14	Approximations and expansions (41-XX)
13	Geophysics (86-XX)
12	History and biography (01-XX)
11	Algebraic topology (55-XX)
9	Topological groups, Lie groups (22-XX)
8	Combinatorics (05-XX)
8	Statistics (62-XX)
7	Several complex variables and analytic spaces (32-XX)
7	Game theory, economics, finance, and other social and behavioral sciences (91-XX)
6	Special functions (33-XX)
6	Difference and functional equations (39-XX)
6	Relativity and gravitational theory (83-XX)
5	Astronomy and astrophysics (85-XX)
4	Algebraic geometry (14-XX)
3	Field theory and polynomials (12-XX)
3	Group theory and generalizations (20-XX)
3	Integral transforms, operational calculus (44-XX)
2	Mathematical logic and foundations (03-XX)
2	Category theory; homological algebra (18-XX)
1	Commutative algebra (13-XX)
1	Nonassociative rings and algebras (17-XX)
1	Abstract harmonic analysis (43-XX)
1	Geometry (51-XX)

Citations by Year

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