Lectures on minimal surfaces. Volume 1: Introduction, fundamentals, geometry and basic boundary value problems. Transl. from the German by Jerry M. Feinberg, edited by Annelise Schmidt, revised, extended and updated by the author. Zbl 0688.53001
Nitsche, Johannes C. C. |
|
1989
|
Vorlesungen über Minimalflächen. Zbl 0319.53003
Nitsche, Johannes C. C. |
|
1975
|
On new results in the theory of minimal surfaces. Zbl 0135.21701
Nitsche, Johannes C. C. |
|
1965
|
Stationary partitioning of convex bodies. Zbl 0572.52005
Nitsche, Johannes C. C. |
|
1985
|
On the module of doubly-connected regions under harmonic mappings. Zbl 0109.30503
Nitsche, Johannes C. C. |
|
1962
|
Concerning my paper on the boundary behavior of minimal surfaces. Zbl 0202.20601
Nitsche, J. C. C. |
|
1970
|
Boundary value problems for variational integrals involving surface curvatures. Zbl 0785.35027
Nitsche, Johannes C. C. |
|
1993
|
The boundary behavior of minimal surfaces. Kellogg’s theorem and branch points on the boundary. Zbl 0195.23101
Nitsche, Johannes C. C. |
|
1969
|
Elementary proof of Bernstein’s theorem on minimal surfaces. Zbl 0079.37702
Nitsche, Johannes C. C. |
|
1957
|
Minimal surfaces with free boundaries. Zbl 0444.49035
Hildebrandt, S.; Nitsche, J. C. C. |
|
1979
|
Variational problems with inequalities as boundary conditions or how to fashion a cheap hat for Giacometti’s brother. Zbl 0209.41601
Nitsche, J. C. C. |
|
1969
|
Über ein verallgemeinertes Dirichletsches Problem für die Minimalflächengleichung und hebbare Unstetigkeiten ihrer Lösungen. Zbl 0141.09601
Nitsche, Johannes C. C. |
|
1965
|
A necessary criterion for the existence of certain minimal surfaces. Zbl 0168.42304
Nitsche, Johannes C. C. |
|
1964
|
Error estimates for the numerical solution of elliptic differential equations. Zbl 0097.33103
Nitsche, Joachim A.; Nitsche, Johannes C. C. |
|
1960
|
A new uniqueness theorem for minimal surfaces. Zbl 0285.49001
Nitsche, Johannes C. C. |
|
1973
|
On the boundary behavior of minimal surfaces with a free boundary which are not minima of the area. Zbl 0483.49037
Grüter, Michael; Hildebrandt, Stefan; Nitsche, Johannes C. C. |
|
1981
|
Minimal surfaces with partially free boundary. Least area property and Hölder continuity for boundaries satisfying a chord-arc condition. Zbl 0209.41602
Nitsche, J. C. C. |
|
1970
|
Über eine mit der Minimalflaechengleichung zusammenhaengende analytische Funktion und den Bernsteinschen Satz. Zbl 0079.37701
Nitsche, Johannes |
|
1957
|
A nonexistence theorem for the two-dimensional analogue of the catenary. Zbl 0634.49020
Nitsche, Johannes C. C. |
|
1986
|
Regularity for stationary surfaces of constant mean curvature with free boundaries. Zbl 0609.49027
Grüter, M.; Hildebrandt, S.; Nitsche, J. C. C. |
|
1986
|
A uniqueness theorem for surfaces of least area with partially free boundaries on obstacles. Zbl 0506.49017
Hildebrandt, Stefan; Nitsche, Johannes C. C. |
|
1982
|
Cyclic surfaces of constant mean curvature. Zbl 0714.53006
Nitsche, Johannes C. C. |
|
1989
|
Über die isolierten Singularitäten der Lösungen von \(\Delta u = e^ u\). Zbl 0078.09201
Nitsche, Johannes |
|
1957
|
Optimal boundary regularity for minimal surfaces with a free boundary. Zbl 0465.49029
Hildebrandt, Stefan; Nitsche, Johannes C. C. |
|
1981
|
A supplement to the condition of J. Douglas. Zbl 0136.16702
Nitsche, Johannes C. C. |
|
1964
|
A characterization of the catenoid. Zbl 0106.14602
Nitsche, Johannes C. C. |
|
1962
|
Contours bounding at least three solutions of Plateau’s problem. Zbl 0164.14201
Nitsche, Johannes C. C. |
|
1968
|
Isoptic characterization of a circle. (Proof of a conjecture of M. S. Klamkin.). Zbl 0704.52002
Nitsche, Johannes C. C. |
|
1990
|
The regularity of the trace for minimal surfaces. Zbl 0331.53006
Nitsche, Johannes C. C. |
|
1976
|
Über die Abhängigkeit der Tschebyscheffschen Approximierenden einer differenzierbaren Funktion vom Intervall. Zbl 0108.27301
Nitsche, Johannes C. C. |
|
1962
|
Über Unstetigkeiten in den Ableitungen von Lösungen quasilinearer hyperbolischer Differentialgleichungssysteme. Zbl 0050.09406
Nitsche, Johannes |
|
1953
|
The isoperimetric inequality for multiply-connected minimal surfaces. Zbl 0144.20505
Nitsche, Johannes C. C. |
|
1965
|
Concerning the isolated character of solutions of Plateau’s problem. Zbl 0189.10804
Nitsche, Johannes C. C. |
|
1969
|
Note on the nonexistence of minimal surfaces. Zbl 0167.11402
Nitsche, Johannes C. C. |
|
1968
|
On the non-solvability of Dirichlet’s problem for the minimal surface equation. Zbl 0133.14402
Nitsche, Johannes C. C. |
|
1965
|
The smallest sphere containing a rectifiable curve. Zbl 0222.52010
Nitsche, J. C. C. |
|
1971
|
Über reguläre Variationsprobleme. Zbl 0100.09901
Nitsche, Johannes C. C.; Nitsche, Joachim A. |
|
1960
|
Geometric properties of minimal surfaces with free boundaries. Zbl 0505.49020
Hildebrandt, Stefan; Nitsche, Johannes C. C. |
|
1983
|
Contours bounding at most finitely many solutions of Plateau’s problem. Zbl 0422.49031
Nitsche, Johannes C. C. |
|
1978
|
On harmonic mappings. Zbl 0090.29402
Nitsche, Johannes C. C. |
|
1958
|
Ein Einschließungssatz für Minimalflächen. Zbl 0138.42401
Nitsche, Johannes C. C. |
|
1966
|
Numerical estimates for minimal surfaces. Zbl 0164.52203
Nitsche, Johannes C. C.; Leavitt, J. |
|
1969
|
The regularity of minimal surfaces on the movable parts of their boundaries. Zbl 0236.53011
Nitsche, Johannes C. C. |
|
1971
|
Lectures on minimal surfaces. Volume 1: Introduction, fundamentals, geometry and basic boundary value problems. Transl. from the German by Jerry M. Feinberg, edited by Annelise Schmidt. Revised, extended and updated by the author.
Reprint of the 1989 hardback edition. Zbl 1209.53002
Nitsche, Johannes C. C. |
|
2011
|
On an estimate for the curvature of minimal surfaces \(z=z(x,y)\). Zbl 0085.15903
Nitsche, Johannes C. C. |
|
1958
|
A remark on Enneper’s minimal surface. Zbl 0092.14505
Nitsche, Johannes C. C. |
|
1959
|
On the constant of E. Heinz. Zbl 0090.05401
Nitsche, Johannes C. C. |
|
1959
|
Non-uniqueness for Plateau’s problem. A bifurcation process. Zbl 0361.49025
Nitsche, Johannes C. C. |
|
1976
|
Bemerkungen zum zweiten Randwertproblem der Differentialgleichung \(\Delta\varphi=\varphi^2_x+\varphi^2_y\). Zbl 0050.09903
Nitsche, Johannes C. C.; Nitsche, Joachim A. |
|
1953
|
Eine charakteristische Eigenschaft der Lösungen von Randwertproblemen elliptischer Differentialgleichungssysteme. Zbl 0057.07701
Nitsche, Johannes |
|
1954
|
A volume formula. Zbl 0578.51005
Nitsche, Johannes C. C. |
|
1983
|
Ein Kriterium für die Existenz nicht-linearer ganzer Lösungen elliptischer Differentialgleichungen. Zbl 0088.07901
Nitsche, Johannes C. C.; Nitsche, Joachim A. |
|
1959
|
Zum Heinzschen Lemma über harmonische Abbildungen. Zbl 0115.29402
Nitsche, Johannes C. C. |
|
1963
|
The behavior of minimal surfaces with free boundaries. Zbl 0236.53012
Nitsche, Johannes C. C. |
|
1969
|
Characterizations of the mean curvature and a problem of G. Cimmino. Zbl 0835.53009
Nitsche, Johannes C. C. |
|
1995
|
Periodic surfaces that are extremal for energy functionals containing curvature functions. Zbl 0794.53007
Nitsche, Johannes C. C. |
|
1993
|
The higher regularity of liquid edges in aggregates of minimal surfaces. Zbl 0403.53001
Nitsche, Johannes C. C. |
|
1978
|
Allgemeine Randwertprobleme für Systeme elliptischer Differentialgleichungen; die Zurückführung auf eine von F. Noether untersuchte Klasse singulärer Integralgleichungen. Zbl 0053.25201
Nitsche, Joachim A.; Nitsche, Johannes C. C. |
|
1953
|
A uniqueness theorem of Bernstein’s type for minimal surfaces in cylindrical coordinates. Zbl 0086.14504
Nitsche, Johannes C. C. |
|
1957
|
Zu einem Satz von L. Bers über die Lösungen der Minimalflächengleichung. Zbl 0094.34403
Nitsche, Johannes |
|
1958
|
An isoperimetric property of surfaces with moveable boundaries. Zbl 0205.10905
Nitsche, J. C. C. |
|
1970
|
Ein Eindeutigkeitssatz für zweifach zusammenhängende Minimalflächen. Zbl 0133.14401
Nitsche, Johannes C. C. |
|
1960
|
Zum allgemeinen Maximumprinzip. Zbl 0141.09602
Nitsche, Johannes C. C. |
|
1966
|
On differential equations of mode 2. Zbl 0142.08001
Nitsche, Johannes C. C. |
|
1965
|
The general maximum principle and removable singularities - a counterexample. Zbl 0149.07501
Nitsche, Johannes C. C. |
|
1966
|
Beitrag zum Randwertproblem eines linearen elliptischen Differentialgleichungssystems im Großen. Zbl 0057.33002
Nitsche, Johannes |
|
1954
|
Über Systeme kanonischer Differentialgleichungen und das zugehörige singuläre Eigenwertproblem. Zbl 0053.24604
Nitsche, Johannes |
|
1953
|
Über die Ausdehnung gewisser zweifach zusammenhängender Minimalflächen. Zbl 0109.40302
Nitsche, Johannes C. C. |
|
1963
|
Uniqueness and non-uniqueness for Plateau’s problem - one of the last major questions. Zbl 0436.53008
Nitsche, Johannes C. C. |
|
1979
|
Fehlerabschätzung für die numerische Berechnung von Integralen, die Lösungen elliptischer Differentialgleichungen enthalten. Zbl 0097.33104
Nitsche, Johannes C. C.; Nitsche, Joachim A. |
|
1960
|
A variational problem with inequalities as boundary conditions. Zbl 0194.42503
Nitsche, Johannes C. C. |
|
1969
|
Surfaces of least area with partially free boundary on a manifold satisfying the chord-arc condition. Zbl 0215.22604
Nitsche, J. C. C. |
|
1970
|
Ein erweitertes Maximumprinzip für nicht-lineare parabolische Differentialgleichungen. Zbl 0135.31801
Nitsche, Johannes C. C. |
|
1966
|
Minimal surfaces with partially free boundary. Zbl 0227.53006
Nitsche, Johannes C. C. |
|
1971
|
Plateau’s problems and their modern ramifications. Zbl 0298.53004
Nitsche, Johannes C. C. |
|
1974
|
Minimal surfaces with movable boundaries. Zbl 0238.49029
Nitsche, Johannes C. C. |
|
1971
|
On the boundary regularity of surfaces of least area in Euclidean space. Zbl 0254.53003
Nitsche, Johannes C. C. |
|
1972
|
Lectures on minimal surfaces. Volume 1: Introduction, fundamentals, geometry and basic boundary value problems. Transl. from the German by Jerry M. Feinberg, edited by Annelise Schmidt. Revised, extended and updated by the author.
Reprint of the 1989 hardback edition. Zbl 1209.53002
Nitsche, Johannes C. C. |
|
2011
|
Characterizations of the mean curvature and a problem of G. Cimmino. Zbl 0835.53009
Nitsche, Johannes C. C. |
|
1995
|
Boundary value problems for variational integrals involving surface curvatures. Zbl 0785.35027
Nitsche, Johannes C. C. |
|
1993
|
Periodic surfaces that are extremal for energy functionals containing curvature functions. Zbl 0794.53007
Nitsche, Johannes C. C. |
|
1993
|
Isoptic characterization of a circle. (Proof of a conjecture of M. S. Klamkin.). Zbl 0704.52002
Nitsche, Johannes C. C. |
|
1990
|
Lectures on minimal surfaces. Volume 1: Introduction, fundamentals, geometry and basic boundary value problems. Transl. from the German by Jerry M. Feinberg, edited by Annelise Schmidt, revised, extended and updated by the author. Zbl 0688.53001
Nitsche, Johannes C. C. |
|
1989
|
Cyclic surfaces of constant mean curvature. Zbl 0714.53006
Nitsche, Johannes C. C. |
|
1989
|
A nonexistence theorem for the two-dimensional analogue of the catenary. Zbl 0634.49020
Nitsche, Johannes C. C. |
|
1986
|
Regularity for stationary surfaces of constant mean curvature with free boundaries. Zbl 0609.49027
Grüter, M.; Hildebrandt, S.; Nitsche, J. C. C. |
|
1986
|
Stationary partitioning of convex bodies. Zbl 0572.52005
Nitsche, Johannes C. C. |
|
1985
|
Geometric properties of minimal surfaces with free boundaries. Zbl 0505.49020
Hildebrandt, Stefan; Nitsche, Johannes C. C. |
|
1983
|
A volume formula. Zbl 0578.51005
Nitsche, Johannes C. C. |
|
1983
|
A uniqueness theorem for surfaces of least area with partially free boundaries on obstacles. Zbl 0506.49017
Hildebrandt, Stefan; Nitsche, Johannes C. C. |
|
1982
|
On the boundary behavior of minimal surfaces with a free boundary which are not minima of the area. Zbl 0483.49037
Grüter, Michael; Hildebrandt, Stefan; Nitsche, Johannes C. C. |
|
1981
|
Optimal boundary regularity for minimal surfaces with a free boundary. Zbl 0465.49029
Hildebrandt, Stefan; Nitsche, Johannes C. C. |
|
1981
|
Minimal surfaces with free boundaries. Zbl 0444.49035
Hildebrandt, S.; Nitsche, J. C. C. |
|
1979
|
Uniqueness and non-uniqueness for Plateau’s problem - one of the last major questions. Zbl 0436.53008
Nitsche, Johannes C. C. |
|
1979
|
Contours bounding at most finitely many solutions of Plateau’s problem. Zbl 0422.49031
Nitsche, Johannes C. C. |
|
1978
|
The higher regularity of liquid edges in aggregates of minimal surfaces. Zbl 0403.53001
Nitsche, Johannes C. C. |
|
1978
|
The regularity of the trace for minimal surfaces. Zbl 0331.53006
Nitsche, Johannes C. C. |
|
1976
|
Non-uniqueness for Plateau’s problem. A bifurcation process. Zbl 0361.49025
Nitsche, Johannes C. C. |
|
1976
|
Vorlesungen über Minimalflächen. Zbl 0319.53003
Nitsche, Johannes C. C. |
|
1975
|
Plateau’s problems and their modern ramifications. Zbl 0298.53004
Nitsche, Johannes C. C. |
|
1974
|
A new uniqueness theorem for minimal surfaces. Zbl 0285.49001
Nitsche, Johannes C. C. |
|
1973
|
On the boundary regularity of surfaces of least area in Euclidean space. Zbl 0254.53003
Nitsche, Johannes C. C. |
|
1972
|
The smallest sphere containing a rectifiable curve. Zbl 0222.52010
Nitsche, J. C. C. |
|
1971
|
The regularity of minimal surfaces on the movable parts of their boundaries. Zbl 0236.53011
Nitsche, Johannes C. C. |
|
1971
|
Minimal surfaces with partially free boundary. Zbl 0227.53006
Nitsche, Johannes C. C. |
|
1971
|
Minimal surfaces with movable boundaries. Zbl 0238.49029
Nitsche, Johannes C. C. |
|
1971
|
Concerning my paper on the boundary behavior of minimal surfaces. Zbl 0202.20601
Nitsche, J. C. C. |
|
1970
|
Minimal surfaces with partially free boundary. Least area property and Hölder continuity for boundaries satisfying a chord-arc condition. Zbl 0209.41602
Nitsche, J. C. C. |
|
1970
|
An isoperimetric property of surfaces with moveable boundaries. Zbl 0205.10905
Nitsche, J. C. C. |
|
1970
|
Surfaces of least area with partially free boundary on a manifold satisfying the chord-arc condition. Zbl 0215.22604
Nitsche, J. C. C. |
|
1970
|
The boundary behavior of minimal surfaces. Kellogg’s theorem and branch points on the boundary. Zbl 0195.23101
Nitsche, Johannes C. C. |
|
1969
|
Variational problems with inequalities as boundary conditions or how to fashion a cheap hat for Giacometti’s brother. Zbl 0209.41601
Nitsche, J. C. C. |
|
1969
|
Concerning the isolated character of solutions of Plateau’s problem. Zbl 0189.10804
Nitsche, Johannes C. C. |
|
1969
|
Numerical estimates for minimal surfaces. Zbl 0164.52203
Nitsche, Johannes C. C.; Leavitt, J. |
|
1969
|
The behavior of minimal surfaces with free boundaries. Zbl 0236.53012
Nitsche, Johannes C. C. |
|
1969
|
A variational problem with inequalities as boundary conditions. Zbl 0194.42503
Nitsche, Johannes C. C. |
|
1969
|
Contours bounding at least three solutions of Plateau’s problem. Zbl 0164.14201
Nitsche, Johannes C. C. |
|
1968
|
Note on the nonexistence of minimal surfaces. Zbl 0167.11402
Nitsche, Johannes C. C. |
|
1968
|
Ein Einschließungssatz für Minimalflächen. Zbl 0138.42401
Nitsche, Johannes C. C. |
|
1966
|
Zum allgemeinen Maximumprinzip. Zbl 0141.09602
Nitsche, Johannes C. C. |
|
1966
|
The general maximum principle and removable singularities - a counterexample. Zbl 0149.07501
Nitsche, Johannes C. C. |
|
1966
|
Ein erweitertes Maximumprinzip für nicht-lineare parabolische Differentialgleichungen. Zbl 0135.31801
Nitsche, Johannes C. C. |
|
1966
|
On new results in the theory of minimal surfaces. Zbl 0135.21701
Nitsche, Johannes C. C. |
|
1965
|
Über ein verallgemeinertes Dirichletsches Problem für die Minimalflächengleichung und hebbare Unstetigkeiten ihrer Lösungen. Zbl 0141.09601
Nitsche, Johannes C. C. |
|
1965
|
The isoperimetric inequality for multiply-connected minimal surfaces. Zbl 0144.20505
Nitsche, Johannes C. C. |
|
1965
|
On the non-solvability of Dirichlet’s problem for the minimal surface equation. Zbl 0133.14402
Nitsche, Johannes C. C. |
|
1965
|
On differential equations of mode 2. Zbl 0142.08001
Nitsche, Johannes C. C. |
|
1965
|
A necessary criterion for the existence of certain minimal surfaces. Zbl 0168.42304
Nitsche, Johannes C. C. |
|
1964
|
A supplement to the condition of J. Douglas. Zbl 0136.16702
Nitsche, Johannes C. C. |
|
1964
|
Zum Heinzschen Lemma über harmonische Abbildungen. Zbl 0115.29402
Nitsche, Johannes C. C. |
|
1963
|
Über die Ausdehnung gewisser zweifach zusammenhängender Minimalflächen. Zbl 0109.40302
Nitsche, Johannes C. C. |
|
1963
|
On the module of doubly-connected regions under harmonic mappings. Zbl 0109.30503
Nitsche, Johannes C. C. |
|
1962
|
A characterization of the catenoid. Zbl 0106.14602
Nitsche, Johannes C. C. |
|
1962
|
Über die Abhängigkeit der Tschebyscheffschen Approximierenden einer differenzierbaren Funktion vom Intervall. Zbl 0108.27301
Nitsche, Johannes C. C. |
|
1962
|
Error estimates for the numerical solution of elliptic differential equations. Zbl 0097.33103
Nitsche, Joachim A.; Nitsche, Johannes C. C. |
|
1960
|
Über reguläre Variationsprobleme. Zbl 0100.09901
Nitsche, Johannes C. C.; Nitsche, Joachim A. |
|
1960
|
Ein Eindeutigkeitssatz für zweifach zusammenhängende Minimalflächen. Zbl 0133.14401
Nitsche, Johannes C. C. |
|
1960
|
Fehlerabschätzung für die numerische Berechnung von Integralen, die Lösungen elliptischer Differentialgleichungen enthalten. Zbl 0097.33104
Nitsche, Johannes C. C.; Nitsche, Joachim A. |
|
1960
|
A remark on Enneper’s minimal surface. Zbl 0092.14505
Nitsche, Johannes C. C. |
|
1959
|
On the constant of E. Heinz. Zbl 0090.05401
Nitsche, Johannes C. C. |
|
1959
|
Ein Kriterium für die Existenz nicht-linearer ganzer Lösungen elliptischer Differentialgleichungen. Zbl 0088.07901
Nitsche, Johannes C. C.; Nitsche, Joachim A. |
|
1959
|
On harmonic mappings. Zbl 0090.29402
Nitsche, Johannes C. C. |
|
1958
|
On an estimate for the curvature of minimal surfaces \(z=z(x,y)\). Zbl 0085.15903
Nitsche, Johannes C. C. |
|
1958
|
Zu einem Satz von L. Bers über die Lösungen der Minimalflächengleichung. Zbl 0094.34403
Nitsche, Johannes |
|
1958
|
Elementary proof of Bernstein’s theorem on minimal surfaces. Zbl 0079.37702
Nitsche, Johannes C. C. |
|
1957
|
Über eine mit der Minimalflaechengleichung zusammenhaengende analytische Funktion und den Bernsteinschen Satz. Zbl 0079.37701
Nitsche, Johannes |
|
1957
|
Über die isolierten Singularitäten der Lösungen von \(\Delta u = e^ u\). Zbl 0078.09201
Nitsche, Johannes |
|
1957
|
A uniqueness theorem of Bernstein’s type for minimal surfaces in cylindrical coordinates. Zbl 0086.14504
Nitsche, Johannes C. C. |
|
1957
|
Eine charakteristische Eigenschaft der Lösungen von Randwertproblemen elliptischer Differentialgleichungssysteme. Zbl 0057.07701
Nitsche, Johannes |
|
1954
|
Beitrag zum Randwertproblem eines linearen elliptischen Differentialgleichungssystems im Großen. Zbl 0057.33002
Nitsche, Johannes |
|
1954
|
Über Unstetigkeiten in den Ableitungen von Lösungen quasilinearer hyperbolischer Differentialgleichungssysteme. Zbl 0050.09406
Nitsche, Johannes |
|
1953
|
Bemerkungen zum zweiten Randwertproblem der Differentialgleichung \(\Delta\varphi=\varphi^2_x+\varphi^2_y\). Zbl 0050.09903
Nitsche, Johannes C. C.; Nitsche, Joachim A. |
|
1953
|
Allgemeine Randwertprobleme für Systeme elliptischer Differentialgleichungen; die Zurückführung auf eine von F. Noether untersuchte Klasse singulärer Integralgleichungen. Zbl 0053.25201
Nitsche, Joachim A.; Nitsche, Johannes C. C. |
|
1953
|
Über Systeme kanonischer Differentialgleichungen und das zugehörige singuläre Eigenwertproblem. Zbl 0053.24604
Nitsche, Johannes |
|
1953
|