Variational methods in shape optimization problems. Zbl 1117.49001
Bucur, Dorin; Buttazzo, Giuseppe |
|
2005
|
Minimization of the \(k\)-th eigenvalue of the Dirichlet Laplacian. Zbl 1254.35165
Bucur, Dorin |
|
2012
|
On the asymptotic limit of the Navier-Stokes system on domains with rough boundaries. Zbl 1143.35080
Bucur, Dorin; Feireisl, Eduard; Nečasová, Šárka; Wolf, Joerg |
|
2008
|
An alternative approach to the Faber-Krahn inequality for Robin problems. Zbl 1186.35118
Bucur, Dorin; Daners, Daniel |
|
2010
|
A variational approach to the isoperimetric inequality for the Robin eigenvalue problem. Zbl 1228.49049
Bucur, Dorin; Giacomini, Alessandro |
|
2010
|
Existence results for some optimal partition problems. Zbl 0915.49006
Bucur, Dorin; Buttazzo, Giuseppe; Henrot, Antoine |
|
1998
|
\(N\)-dimensional shape optimization under capacitary constraint. Zbl 0847.49029
Bucur, Dorin; Zolesio, Jean Paul |
|
1995
|
Faber-Krahn inequalities for the Robin-Laplacian: a free discontinuity approach. Zbl 1458.35286
Bucur, Dorin; Giacomini, Alessandro |
|
2015
|
Boundary behavior of viscous fluids: Influence of wall roughness and friction-driven boundary conditions. Zbl 1273.76073
Bucur, Dorin; Feireisl, Eduard; Nečasová, Šárka |
|
2010
|
On the first eigenvalue of a fourth order Steklov problem. Zbl 1171.35089
Bucur, Dorin; Ferrero, Alberto; Gazzola, Filippo |
|
2009
|
Optimal partitions for eigenvalues. Zbl 1207.49050
Bourdin, Blaise; Bucur, Dorin; Oudet, Édouard |
|
2009
|
The Robin problems. Zbl 1375.49053
Bucur, Dorin; Freitas, Pedro; Kennedy, James |
|
2017
|
Lipschitz regularity of the eigenfunctions on optimal domains. Zbl 1319.49067
Bucur, Dorin; Mazzoleni, Dario; Pratelli, Aldo; Velichkov, Bozhidar |
|
2015
|
Shape optimization problems with Robin conditions on the free boundary. Zbl 1352.49045
Bucur, Dorin; Giacomini, Alessandro |
|
2016
|
Shape optimisation problems governed by nonlinear state equations. Zbl 0918.49030
Bucur, Dorin; Trebeschi, Paola |
|
1998
|
Monotonicity formula and regularity for general free discontinuity problems. Zbl 1283.49056
Bucur, Dorin; Luckhaus, Stephan |
|
2014
|
The first biharmonic Steklov eigenvalue: positivity preserving and shape optimization. Zbl 1229.35156
Bucur, Dorin; Gazzola, Filippo |
|
2011
|
Boundary variation for a Neumann problem. Zbl 1072.35063
Bucur, Dorin; Varchon, Nicolas |
|
2000
|
Multiphase shape optimization problems. Zbl 1312.49050
Bucur, Dorin; Velichkov, Bozhidar |
|
2015
|
Maximization of the second non-trivial Neumann eigenvalue. Zbl 1423.35271
Bucur, Dorin; Henrot, Antoine |
|
2019
|
A sharp estimate for the first Robin-Laplacian eigenvalue with negative boundary parameter. Zbl 1427.35163
Bucur, Dorin; Ferone, Vincenzo; Nitsch, Carlo; Trombetti, Cristina |
|
2019
|
Minimization of \(\lambda_{2}(\Omega)\) with a perimeter constraint. Zbl 1186.49032
Bucur, Dorin; Buttazzo, Giuseppe; Henrot, Antoine |
|
2009
|
Influence of wall roughness on the slip behaviour of viscous fluids. Zbl 1151.76004
Bucur, Dorin; Feireisl, Eduard; Nečasová, Šárka |
|
2008
|
Minimization of the third eigenvalue of the Dirichlet Laplacian. Zbl 0974.35082
Bucur, Dorin; Henrot, Antoine |
|
2000
|
On the asymptotic limit of flows past a ribbed boundary. Zbl 1189.35219
Bucur, Dorin; Feireisl, Eduard; Nečasová, Šárka |
|
2008
|
On the attainable eigenvalues of the Laplace operator. Zbl 0920.35099
Bucur, Dorin; Buttazzo, Giuseppe; Figueiredo, Isabel |
|
1999
|
Asymptotic behaviour of optimal spectral planar domains with fixed perimeter. Zbl 1290.35164
Bucur, Dorin; Freitas, Pedro |
|
2013
|
On the torsion function with Robin or Dirichlet boundary conditions. Zbl 1292.35141
van den Berg, M.; Bucur, D. |
|
2014
|
Optimal shapes maximizing the Steklov eigenvalues. Zbl 1367.49037
Bogosel, Beniamin; Bucur, Dorin; Giacomini, Alessandro |
|
2017
|
Weinstock inequality in higher dimensions. Zbl 1468.35038
Bucur, Dorin; Ferone, Vincenzo; Nitsch, Carlo; Trombetti, Cristina |
|
2021
|
Variational methods in some shape optimization problems. Zbl 1066.49026
Bucur, Dorin; Buttazzo, Giuseppe |
|
2002
|
The quantitative Faber-Krahn inequality for the Robin Laplacian. Zbl 1387.35428
Bucur, Dorin; Ferone, Vincenzo; Nitsch, Carlo; Trombetti, Cristina |
|
2018
|
Regularity of optimal convex shapes. Zbl 1057.49029
Bucur, Dorin |
|
2003
|
Optimal convex shapes for concave functionals. Zbl 1253.49031
Bucur, Dorin; Fragalà, Ilaria; Lamboley, Jimmy |
|
2012
|
Uniform concentration-compactness for Sobolev spaces on variable domains. Zbl 0957.49027
Bucur, Dorin |
|
2000
|
The incompressible limit of the full Navier-Stokes-Fourier system on domains with rough boundaries. Zbl 1162.76048
Bucur, Dorin; Feireisl, Eduard |
|
2009
|
A duality approach for the boundary variation of Neumann problems. Zbl 1055.35037
Bucur, Dorin; Varchon, Nicolas |
|
2002
|
On the honeycomb conjecture for a class of minimal convex partitions. Zbl 1396.52024
Bucur, Dorin; Fragalà, Ilaria; Velichkov, Bozhidar; Verzini, Gianmaria |
|
2018
|
Lower bounds for the Prékopa-Leindler deficit by some distances modulo translations. Zbl 1326.26032
Bucur, Dorin; Fragalà, Ilaria |
|
2014
|
Maximising Neumann eigenvalues on rectangles. Zbl 1358.35078
van den Berg, M.; Bucur, D.; Gittins, K. |
|
2016
|
On the isoperimetric inequality for the buckling of a clamped plate. Zbl 1030.49043
Ashbaugh, S.; Bucur, Dorin |
|
2003
|
How to choose interpolation data in images. Zbl 1190.94006
Belhachmi, Zakaria; Bucur, Dorin; Burgeth, Bernhard; Weickert, Joachim |
|
2009
|
A Faber-Krahn inequality for the Cheeger constant of \(N\)-gons. Zbl 1334.49129
Bucur, Dorin; Fragalà, Ilaria |
|
2016
|
Spectral optimization problems for potentials and measures. Zbl 1301.49122
Bucur, Dorin; Buttazzo, Giuseppe; Velichkov, Bozhidar |
|
2014
|
Two optimization problems in thermal insulation. Zbl 1372.80002
Bucur, Dorin; Buttazzo, Giuseppe; Nitsch, Carlo |
|
2017
|
A new isoperimetric inequality for the elasticae. Zbl 1377.49047
Bucur, Dorin; Henrot, Antoine |
|
2017
|
Stability and instability issues of the Weinstock inequality. Zbl 1458.35287
Bucur, Dorin; Nahon, Mickaël |
|
2021
|
\(L^\infty\) bounds of Steklov eigenfunctions and spectrum stability under domain variation. Zbl 1450.35192
Bucur, Dorin; Giacomini, Alessandro; Trebeschi, Paola |
|
2020
|
Anatomy of the shape Hessian via Lie brackets. Zbl 0939.49023
Bucur, Dorin; Zolésio, Jean-Paul |
|
1997
|
Asymptotic analysis and scaling of friction parameters. Zbl 1106.35038
Bucur, Dorin; Ionescu, Ioan R. |
|
2006
|
The Saint-Venant inequality for the Laplace operator with Robin boundary conditions. Zbl 1334.35183
Bucur, Dorin; Giacomini, Alessandro |
|
2015
|
On the characterization of the compact embedding of Sobolev spaces. Zbl 1241.49023
Bucur, Dorin; Buttazzo, Giuseppe |
|
2012
|
Stability and uniqueness for the crack identification problem. Zbl 1136.35102
Belhachmi, Zakaria; Bucur, Dorin |
|
2007
|
Proof of the honeycomb asymptotics for optimal Cheeger clusters. Zbl 1418.52006
Bucur, Dorin; Fragalà, Ilaria |
|
2019
|
Spectral optimization problems with internal constraint. Zbl 1287.49049
Bucur, Dorin; Buttazzo, Giuseppe; Velichkov, Bozhidar |
|
2013
|
Shape optimization problems for eigenvalues of elliptic operators. Zbl 1087.49032
Belhachmi, Zakaria; Bucur, Dorin; Buttazzo, Giuseppe; Sac-Epée, Jean-Marc |
|
2006
|
The uniform rugosity effect. Zbl 1294.35088
Bonnivard, Matthieu; Bucur, Dorin |
|
2012
|
Best constant in Poincaré inequalities with traces: a free discontinuity approach. Zbl 1428.49043
Bucur, Dorin; Giacomini, Alessandro; Trebeschi, Paola |
|
2019
|
Characterization for the Kuratowski limits of a sequence of Sobolev spaces. Zbl 0924.46028
Bucur, Dorin |
|
1999
|
A surgery result for the spectrum of the Dirichlet Laplacian. Zbl 1331.49062
Bucur, Dorin; Mazzoleni, Dario |
|
2015
|
The Robin-Laplacian problem on varying domains. Zbl 1379.35062
Bucur, Dorin; Giacomini, Alessandro; Trebeschi, Paola |
|
2016
|
Phase field approach to optimal packing problems and related Cheeger clusters. Zbl 1433.49057
Bogosel, Beniamin; Bucur, Dorin; Fragalà, Ilaria |
|
2020
|
Characterization of the shape stability for nonlinear elliptic problems. Zbl 1245.35035
Bucur, Dorin |
|
2006
|
Spectrum stability of an elliptic operator to domain perturbations. Zbl 0919.49014
Bucur, Dorin; Zolésio, Jean-Paul |
|
1998
|
Stability of the Neumann problem for variations of the boundary.
(Stabilité de la solution d’un problème de Neumann pour des variations de frontière.) Zbl 0961.35030
Bucur, Dorin; Varchon, Nicolas |
|
2000
|
On the honeycomb conjecture for Robin Laplacian eigenvalues. Zbl 1414.49044
Bucur, Dorin; Fragalà, Ilaria |
|
2019
|
Minimization of the \(k\)-th eigenvalue of the Robin-Laplacian. Zbl 1429.49015
Bucur, Dorin; Giacomini, Alessandro |
|
2019
|
Boundary optimization under pseudo curvature constraint. Zbl 0889.49026
Bucur, Dorin; Zolésio, Jean-Paul |
|
1996
|
Free boundary problems and density perimeter. Zbl 0856.35137
Bucur, Dorin; Zolésio, Jean-Paul |
|
1996
|
Continuity of the elasticity system solutions with respect to the geometrical domain variations. Zbl 1001.74008
Bucur, D.; Henrot, A.; Sokolowski, J.; Żochowski, A. |
|
2001
|
Symmetry results for variational energies on convex polygons. Zbl 1468.49047
Bucur, Dorin; Fragalà, Ilaria |
|
2021
|
Quasistatic evolution in debonding problems via capacitary methods. Zbl 1155.74030
Bucur, Dorin; Buttazzo, Giuseppe; Lux, Anne |
|
2008
|
On the problem of optimal cutting. Zbl 1028.49033
Bucur, Dorin; Buttazzo, Giuseppe; Varchon, Nicolas |
|
2002
|
Continuity with respect to the domain in the Neumann problem.
(Continuité par rapport au domaine dans le problème de Neumann.) Zbl 0805.35010
Bucur, Dorin; Zolesio, Jean-Paul |
|
1994
|
Asymptotic behaviour of the Steklov spectrum on dumbbell domains. Zbl 1460.35244
Bucur, Dorin; Henrot, Antoine; Michetti, Marco |
|
2021
|
Blaschke-Santaló and Mahler inequalities for the first eigenvalue of the Dirichlet Laplacian. Zbl 1361.49019
Bucur, Dorin; Fragalà, Ilaria |
|
2016
|
Global minimizing domains for the first eigenvalue of an elliptic operator with non-constant coefficients. Zbl 0958.49024
Bucur, Dorin; Varchon, Nicolas |
|
2000
|
How to prove existence in shape optimization. Zbl 1167.49325
Bucur, Dorin |
|
2005
|
Degenerate free discontinuity problems and spectral inequalities in quantitative form. Zbl 1472.49064
Bucur, Dorin; Giacomini, Alessandro; Nahon, Mickaël |
|
2021
|
Whitney property in two dimensional Sobolev spaces. Zbl 1151.46018
Bucur, Dorin; Giacomini, Alessandro; Trebeschi, Paola |
|
2008
|
An existence result for optimal obstacles. Zbl 0920.49008
Bucur, Dorin; Buttazzo, Giuseppe; Trebeschi, Paola |
|
1999
|
Wall laws for viscous fluids near rough surfaces. Zbl 1329.76052
Bucur, Dorin; Dalibard, Anne-Laure; Gérard-Varet, David |
|
2012
|
Mini-workshop: Shape analysis for eigenvalues. Abstracts from the mini-workshop held April 8–14, 2007. Zbl 1177.49004
|
|
2007
|
Shape optimisation under uniform capacity condition.
(Optimisation de forme sous contrainte capacitaire.) Zbl 0806.35008
Bucur, Dorin; Zolesio, Jean-Paul |
|
1994
|
A characterization theorem for the \(\gamma\)-convergence.
(Un théorème de caractérisation pour la \(\gamma\)-convergence.) Zbl 0859.35023
Bucur, Dorin |
|
1996
|
Geometric control of the Robin Laplacian eigenvalues: the case of negative boundary parameter. Zbl 1460.49031
Bucur, Dorin; Cito, Simone |
|
2020
|
Shape optimization of a thermal insulation problem. Zbl 1496.35383
Bucur, Dorin; Nahon, Mickaël; Nitsch, Carlo; Trombetti, Cristina |
|
2022
|
On efficiency and localisation for the torsion function. Zbl 1505.35110
van den Berg, M.; Bucur, D.; Kappeler, T. |
|
2022
|
Shape continuity for Dirichlet-Neumann problems. Zbl 0854.35011
Bucur, D.; Zolesio, J.-P. |
|
1996
|
A free boundary approach to shape optimization problems. Zbl 1353.49052
Bucur, D.; Velichkov, B. |
|
2015
|
Existence results. Zbl 1375.49052
Bucur, Dorin |
|
2017
|
Optimal partitions for Robin Laplacian eigenvalues. Zbl 1403.49046
Bucur, Dorin; Fragalà, Ilaria; Giacomini, Alessandro |
|
2018
|
A free boundary approach to the Faber-Krahn inequality. Zbl 1390.35200
Bucur, Dorin; Freitas, Pedro |
|
2017
|
Shape optimization for elliptic problems under Neumann boundary conditions. Zbl 0900.35043
Bucur, Dorin; Zolesio, Jean-Paul |
|
1994
|
Wiener’s criterion and shape continuity for the Dirichlet problem. Zbl 0891.35161
Bucur, Dorin; Zolesio, Jean-Paul |
|
1997
|
Shape analysis for nonsmooth elliptic operators. Zbl 0874.49035
Bucur, D. |
|
1996
|
Microshape control, riblets, and drag minimization. Zbl 1426.76145
Bonnivard, Matthieu; Bucur, Dorin |
|
2013
|
Reverse Faber-Krahn and Mahler inequalities for the Cheeger constant. Zbl 1404.52001
Bucur, Dorin; Fragalà, Ilaria |
|
2018
|
The eigenvalue problem with conductivity boundary conditions. Zbl 1181.35152
Bucur, Dorin; Durus, Ioana; Oudet, Edouard |
|
2008
|
Multiphase free discontinuity problems: monotonicity formula and regularity results. Zbl 1471.35340
Bucur, Dorin; Fragalà, Ilaria; Giacomini, Alessandro |
|
2021
|
On the polygonal Faber-Krahn inequality.
(Sur l’inégalité Faber-Krahn polygonale.) Zbl 1537.35261
Bogosel, Beniamin; Bucur, Dorin |
|
2024
|
Alexandrov theorem for general nonlocal curvatures: the geometric impact of the kernel. Zbl 1503.53088
Bucur, Dorin; Fragalà, Ilaria |
|
2023
|
Maximization of Neumann eigenvalues. Zbl 1517.35144
Bucur, Dorin; Martinet, Eloi; Oudet, Edouard |
|
2023
|
Rigidity for measurable sets. Zbl 1514.28004
Bucur, Dorin; Fragalà, Ilaria |
|
2023
|
Shape optimization of a thermal insulation problem. Zbl 1496.35383
Bucur, Dorin; Nahon, Mickaël; Nitsch, Carlo; Trombetti, Cristina |
|
2022
|
On efficiency and localisation for the torsion function. Zbl 1505.35110
van den Berg, M.; Bucur, D.; Kappeler, T. |
|
2022
|
Weinstock inequality in higher dimensions. Zbl 1468.35038
Bucur, Dorin; Ferone, Vincenzo; Nitsch, Carlo; Trombetti, Cristina |
|
2021
|
Stability and instability issues of the Weinstock inequality. Zbl 1458.35287
Bucur, Dorin; Nahon, Mickaël |
|
2021
|
Symmetry results for variational energies on convex polygons. Zbl 1468.49047
Bucur, Dorin; Fragalà, Ilaria |
|
2021
|
Asymptotic behaviour of the Steklov spectrum on dumbbell domains. Zbl 1460.35244
Bucur, Dorin; Henrot, Antoine; Michetti, Marco |
|
2021
|
Degenerate free discontinuity problems and spectral inequalities in quantitative form. Zbl 1472.49064
Bucur, Dorin; Giacomini, Alessandro; Nahon, Mickaël |
|
2021
|
Multiphase free discontinuity problems: monotonicity formula and regularity results. Zbl 1471.35340
Bucur, Dorin; Fragalà, Ilaria; Giacomini, Alessandro |
|
2021
|
\(L^\infty\) bounds of Steklov eigenfunctions and spectrum stability under domain variation. Zbl 1450.35192
Bucur, Dorin; Giacomini, Alessandro; Trebeschi, Paola |
|
2020
|
Phase field approach to optimal packing problems and related Cheeger clusters. Zbl 1433.49057
Bogosel, Beniamin; Bucur, Dorin; Fragalà, Ilaria |
|
2020
|
Geometric control of the Robin Laplacian eigenvalues: the case of negative boundary parameter. Zbl 1460.49031
Bucur, Dorin; Cito, Simone |
|
2020
|
Sign changing solutions of Poisson’s equation. Zbl 1455.35061
van den Berg, M.; Bucur, D. |
|
2020
|
Maximization of the second non-trivial Neumann eigenvalue. Zbl 1423.35271
Bucur, Dorin; Henrot, Antoine |
|
2019
|
A sharp estimate for the first Robin-Laplacian eigenvalue with negative boundary parameter. Zbl 1427.35163
Bucur, Dorin; Ferone, Vincenzo; Nitsch, Carlo; Trombetti, Cristina |
|
2019
|
Proof of the honeycomb asymptotics for optimal Cheeger clusters. Zbl 1418.52006
Bucur, Dorin; Fragalà, Ilaria |
|
2019
|
Best constant in Poincaré inequalities with traces: a free discontinuity approach. Zbl 1428.49043
Bucur, Dorin; Giacomini, Alessandro; Trebeschi, Paola |
|
2019
|
On the honeycomb conjecture for Robin Laplacian eigenvalues. Zbl 1414.49044
Bucur, Dorin; Fragalà, Ilaria |
|
2019
|
Minimization of the \(k\)-th eigenvalue of the Robin-Laplacian. Zbl 1429.49015
Bucur, Dorin; Giacomini, Alessandro |
|
2019
|
The multiphase Mumford-Shah problem. Zbl 1439.49075
Bucur, Dorin; Fragalà, Ilaria; Giacomini, Alessandro |
|
2019
|
The quantitative Faber-Krahn inequality for the Robin Laplacian. Zbl 1387.35428
Bucur, Dorin; Ferone, Vincenzo; Nitsch, Carlo; Trombetti, Cristina |
|
2018
|
On the honeycomb conjecture for a class of minimal convex partitions. Zbl 1396.52024
Bucur, Dorin; Fragalà, Ilaria; Velichkov, Bozhidar; Verzini, Gianmaria |
|
2018
|
Optimal partitions for Robin Laplacian eigenvalues. Zbl 1403.49046
Bucur, Dorin; Fragalà, Ilaria; Giacomini, Alessandro |
|
2018
|
Reverse Faber-Krahn and Mahler inequalities for the Cheeger constant. Zbl 1404.52001
Bucur, Dorin; Fragalà, Ilaria |
|
2018
|
The Robin problems. Zbl 1375.49053
Bucur, Dorin; Freitas, Pedro; Kennedy, James |
|
2017
|
Optimal shapes maximizing the Steklov eigenvalues. Zbl 1367.49037
Bogosel, Beniamin; Bucur, Dorin; Giacomini, Alessandro |
|
2017
|
Two optimization problems in thermal insulation. Zbl 1372.80002
Bucur, Dorin; Buttazzo, Giuseppe; Nitsch, Carlo |
|
2017
|
A new isoperimetric inequality for the elasticae. Zbl 1377.49047
Bucur, Dorin; Henrot, Antoine |
|
2017
|
Existence results. Zbl 1375.49052
Bucur, Dorin |
|
2017
|
A free boundary approach to the Faber-Krahn inequality. Zbl 1390.35200
Bucur, Dorin; Freitas, Pedro |
|
2017
|
Shape optimization problems with Robin conditions on the free boundary. Zbl 1352.49045
Bucur, Dorin; Giacomini, Alessandro |
|
2016
|
Maximising Neumann eigenvalues on rectangles. Zbl 1358.35078
van den Berg, M.; Bucur, D.; Gittins, K. |
|
2016
|
A Faber-Krahn inequality for the Cheeger constant of \(N\)-gons. Zbl 1334.49129
Bucur, Dorin; Fragalà, Ilaria |
|
2016
|
The Robin-Laplacian problem on varying domains. Zbl 1379.35062
Bucur, Dorin; Giacomini, Alessandro; Trebeschi, Paola |
|
2016
|
Blaschke-Santaló and Mahler inequalities for the first eigenvalue of the Dirichlet Laplacian. Zbl 1361.49019
Bucur, Dorin; Fragalà, Ilaria |
|
2016
|
Faber-Krahn inequalities for the Robin-Laplacian: a free discontinuity approach. Zbl 1458.35286
Bucur, Dorin; Giacomini, Alessandro |
|
2015
|
Lipschitz regularity of the eigenfunctions on optimal domains. Zbl 1319.49067
Bucur, Dorin; Mazzoleni, Dario; Pratelli, Aldo; Velichkov, Bozhidar |
|
2015
|
Multiphase shape optimization problems. Zbl 1312.49050
Bucur, Dorin; Velichkov, Bozhidar |
|
2015
|
The Saint-Venant inequality for the Laplace operator with Robin boundary conditions. Zbl 1334.35183
Bucur, Dorin; Giacomini, Alessandro |
|
2015
|
A surgery result for the spectrum of the Dirichlet Laplacian. Zbl 1331.49062
Bucur, Dorin; Mazzoleni, Dario |
|
2015
|
A free boundary approach to shape optimization problems. Zbl 1353.49052
Bucur, D.; Velichkov, B. |
|
2015
|
Monotonicity formula and regularity for general free discontinuity problems. Zbl 1283.49056
Bucur, Dorin; Luckhaus, Stephan |
|
2014
|
On the torsion function with Robin or Dirichlet boundary conditions. Zbl 1292.35141
van den Berg, M.; Bucur, D. |
|
2014
|
Lower bounds for the Prékopa-Leindler deficit by some distances modulo translations. Zbl 1326.26032
Bucur, Dorin; Fragalà, Ilaria |
|
2014
|
Spectral optimization problems for potentials and measures. Zbl 1301.49122
Bucur, Dorin; Buttazzo, Giuseppe; Velichkov, Bozhidar |
|
2014
|
Asymptotic behaviour of optimal spectral planar domains with fixed perimeter. Zbl 1290.35164
Bucur, Dorin; Freitas, Pedro |
|
2013
|
Spectral optimization problems with internal constraint. Zbl 1287.49049
Bucur, Dorin; Buttazzo, Giuseppe; Velichkov, Bozhidar |
|
2013
|
Microshape control, riblets, and drag minimization. Zbl 1426.76145
Bonnivard, Matthieu; Bucur, Dorin |
|
2013
|
Minimization of the \(k\)-th eigenvalue of the Dirichlet Laplacian. Zbl 1254.35165
Bucur, Dorin |
|
2012
|
Optimal convex shapes for concave functionals. Zbl 1253.49031
Bucur, Dorin; Fragalà, Ilaria; Lamboley, Jimmy |
|
2012
|
On the characterization of the compact embedding of Sobolev spaces. Zbl 1241.49023
Bucur, Dorin; Buttazzo, Giuseppe |
|
2012
|
The uniform rugosity effect. Zbl 1294.35088
Bonnivard, Matthieu; Bucur, Dorin |
|
2012
|
Wall laws for viscous fluids near rough surfaces. Zbl 1329.76052
Bucur, Dorin; Dalibard, Anne-Laure; Gérard-Varet, David |
|
2012
|
Shape flows for spectral optimization problems. Zbl 1263.49051
Bucur, Dorin; Buttazzo, Giuseppe; Stefanelli, Ulisse |
|
2012
|
The first biharmonic Steklov eigenvalue: positivity preserving and shape optimization. Zbl 1229.35156
Bucur, Dorin; Gazzola, Filippo |
|
2011
|
An alternative approach to the Faber-Krahn inequality for Robin problems. Zbl 1186.35118
Bucur, Dorin; Daners, Daniel |
|
2010
|
A variational approach to the isoperimetric inequality for the Robin eigenvalue problem. Zbl 1228.49049
Bucur, Dorin; Giacomini, Alessandro |
|
2010
|
Boundary behavior of viscous fluids: Influence of wall roughness and friction-driven boundary conditions. Zbl 1273.76073
Bucur, Dorin; Feireisl, Eduard; Nečasová, Šárka |
|
2010
|
On the first eigenvalue of a fourth order Steklov problem. Zbl 1171.35089
Bucur, Dorin; Ferrero, Alberto; Gazzola, Filippo |
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2009
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Optimal partitions for eigenvalues. Zbl 1207.49050
Bourdin, Blaise; Bucur, Dorin; Oudet, Édouard |
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2009
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Minimization of \(\lambda_{2}(\Omega)\) with a perimeter constraint. Zbl 1186.49032
Bucur, Dorin; Buttazzo, Giuseppe; Henrot, Antoine |
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2009
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The incompressible limit of the full Navier-Stokes-Fourier system on domains with rough boundaries. Zbl 1162.76048
Bucur, Dorin; Feireisl, Eduard |
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2009
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How to choose interpolation data in images. Zbl 1190.94006
Belhachmi, Zakaria; Bucur, Dorin; Burgeth, Bernhard; Weickert, Joachim |
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2009
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On the asymptotic limit of the Navier-Stokes system on domains with rough boundaries. Zbl 1143.35080
Bucur, Dorin; Feireisl, Eduard; Nečasová, Šárka; Wolf, Joerg |
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2008
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Influence of wall roughness on the slip behaviour of viscous fluids. Zbl 1151.76004
Bucur, Dorin; Feireisl, Eduard; Nečasová, Šárka |
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2008
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On the asymptotic limit of flows past a ribbed boundary. Zbl 1189.35219
Bucur, Dorin; Feireisl, Eduard; Nečasová, Šárka |
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2008
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Quasistatic evolution in debonding problems via capacitary methods. Zbl 1155.74030
Bucur, Dorin; Buttazzo, Giuseppe; Lux, Anne |
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2008
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Whitney property in two dimensional Sobolev spaces. Zbl 1151.46018
Bucur, Dorin; Giacomini, Alessandro; Trebeschi, Paola |
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2008
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The eigenvalue problem with conductivity boundary conditions. Zbl 1181.35152
Bucur, Dorin; Durus, Ioana; Oudet, Edouard |
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2008
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Stability and uniqueness for the crack identification problem. Zbl 1136.35102
Belhachmi, Zakaria; Bucur, Dorin |
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2007
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Mini-workshop: Shape analysis for eigenvalues. Abstracts from the mini-workshop held April 8–14, 2007. Zbl 1177.49004
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2007
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Asymptotic analysis and scaling of friction parameters. Zbl 1106.35038
Bucur, Dorin; Ionescu, Ioan R. |
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2006
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Shape optimization problems for eigenvalues of elliptic operators. Zbl 1087.49032
Belhachmi, Zakaria; Bucur, Dorin; Buttazzo, Giuseppe; Sac-Epée, Jean-Marc |
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2006
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Characterization of the shape stability for nonlinear elliptic problems. Zbl 1245.35035
Bucur, Dorin |
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2006
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Finite element approximation of the Neumann eigenvalue problem in domains with multiple cracks. Zbl 1105.65110
Belhachmi, Zakaria; Bucur, Dorin; Sac-Epee, Jean-Marc |
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2006
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Variational methods in shape optimization problems. Zbl 1117.49001
Bucur, Dorin; Buttazzo, Giuseppe |
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2005
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How to prove existence in shape optimization. Zbl 1167.49325
Bucur, Dorin |
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2005
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Regularity of optimal convex shapes. Zbl 1057.49029
Bucur, Dorin |
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2003
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On the isoperimetric inequality for the buckling of a clamped plate. Zbl 1030.49043
Ashbaugh, S.; Bucur, Dorin |
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2003
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A new relaxation space for obstacles. Zbl 1038.49021
Bucur, Dorin; Trebeschi, Paola |
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2003
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Variational methods in some shape optimization problems. Zbl 1066.49026
Bucur, Dorin; Buttazzo, Giuseppe |
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2002
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A duality approach for the boundary variation of Neumann problems. Zbl 1055.35037
Bucur, Dorin; Varchon, Nicolas |
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2002
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On the problem of optimal cutting. Zbl 1028.49033
Bucur, Dorin; Buttazzo, Giuseppe; Varchon, Nicolas |
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2002
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Continuity of the elasticity system solutions with respect to the geometrical domain variations. Zbl 1001.74008
Bucur, D.; Henrot, A.; Sokolowski, J.; Żochowski, A. |
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2001
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Boundary variation for a Neumann problem. Zbl 1072.35063
Bucur, Dorin; Varchon, Nicolas |
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2000
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Minimization of the third eigenvalue of the Dirichlet Laplacian. Zbl 0974.35082
Bucur, Dorin; Henrot, Antoine |
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2000
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Uniform concentration-compactness for Sobolev spaces on variable domains. Zbl 0957.49027
Bucur, Dorin |
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2000
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Stability of the Neumann problem for variations of the boundary.
(Stabilité de la solution d’un problème de Neumann pour des variations de frontière.) Zbl 0961.35030
Bucur, Dorin; Varchon, Nicolas |
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2000
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Global minimizing domains for the first eigenvalue of an elliptic operator with non-constant coefficients. Zbl 0958.49024
Bucur, Dorin; Varchon, Nicolas |
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2000
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Stability for the Dirichlet problem under continuous Steiner symmetrization. Zbl 0977.31007
Bucur, Dorin; Henrot, Antoine |
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2000
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On the attainable eigenvalues of the Laplace operator. Zbl 0920.35099
Bucur, Dorin; Buttazzo, Giuseppe; Figueiredo, Isabel |
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1999
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Characterization for the Kuratowski limits of a sequence of Sobolev spaces. Zbl 0924.46028
Bucur, Dorin |
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1999
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An existence result for optimal obstacles. Zbl 0920.49008
Bucur, Dorin; Buttazzo, Giuseppe; Trebeschi, Paola |
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1999
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Existence results for some optimal partition problems. Zbl 0915.49006
Bucur, Dorin; Buttazzo, Giuseppe; Henrot, Antoine |
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1998
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Shape optimisation problems governed by nonlinear state equations. Zbl 0918.49030
Bucur, Dorin; Trebeschi, Paola |
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1998
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Spectrum stability of an elliptic operator to domain perturbations. Zbl 0919.49014
Bucur, Dorin; Zolésio, Jean-Paul |
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1998
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Concentration-compactness principle and \(\gamma\)-convergence.
(Concentration-compacité et \(\gamma\)-convergence.) Zbl 0914.35039
Bucur, Dorin |
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1998
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| ...and 13 more Documents |
