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Hildebrandt, Stefan

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Author ID: hildebrandt.stefan Recent zbMATH articles by "Hildebrandt, Stefan"
Published as: Gil’debrandt, Stefan; HIldebrandt, Stefan; Hildebrandt, S.; Hildebrandt, Stefan; Hildebrandt, Stephan
External Links: MGP · Wikidata · GND
Documents Indexed: 128 Publications since 1962, including 25 Books
Biographic References: 2 Publications
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Serials

16 Mathematische Zeitschrift
9 Communications on Pure and Applied Mathematics
8 Journal für die Reine und Angewandte Mathematik
7 Grundlehren der Mathematischen Wissenschaften
6 Calculus of Variations and Partial Differential Equations
5 Manuscripta Mathematica
5 Mathematische Annalen
3 Archive for Rational Mechanics and Analysis
3 Acta Mathematica
3 Lecture Notes in Mathematics
3 Springer-Lehrbuch
2 Mathematische Semesterberichte
2 Archiv der Mathematik
2 Nachrichten der Akademie der Wissenschaften in Göttingen. II. Mathematisch-Physikalische Klasse
2 EAGLE
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV)
1 Arkiv för Matematik
1 The Mathematical Intelligencer
1 Acta Scientiarum Mathematicarum
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Indiana University Mathematics Journal
1 Inventiones Mathematicae
1 Journal of Differential Geometry
1 Journal of the Mathematical Society of Japan
1 Mathematische Nachrichten
1 Mathematica Scandinavica
1 Pacific Journal of Mathematics
1 St. Petersburg Mathematical Journal
1 Journal of Mathematical Sciences. University of Tokyo
1 Analysis (München)
1 Milan Journal of Mathematics
1 Rivista di Matematica della Università di Parma. Serie 7
1 Bonner Mathematische Schriften
1 Oxford Lecture Series in Mathematics and its Applications
1 Advances in Calculus of Variations
1 Annales Academiae Scientiarum Fennicae. Series A I

Publications by Year

Citations contained in zbMATH

99 Publications have been cited 1,608 times in 1,076 Documents Cited by Year
An existence theorem for harmonic mappings of Riemannian manifolds. Zbl 0356.53015
HIldebrandt, Stefan; Kaul, Helmut; Widman, Kjell-Ove
133
1977
One-dimensional variational problems. An introduction. Zbl 0915.49001
Buttazzo, Giuseppe; Giaquinta, Mariano; Hildebrandt, Stefan
107
1998
Calculus of variations 1. The Lagrangian formalism. Zbl 0853.49001
Giaquinta, Mariano; Hildebrandt, Stefan
95
1996
Minimal surfaces I. Boundary value problems. Zbl 0777.53012
Dierkes, Ulrich; Hildebrandt, Stefan; Küster, Albrecht; Wohlrab, Ortwin
71
1992
Some regularity results for quasilinear elliptic systems of second order. Zbl 0317.35040
Hildebrandt, Stefan; Widman, Kjell-Ove
65
1975
On the Plateau problem for surfaces of constant mean curvature. Zbl 0181.38703
Hildebrandt, S.
61
1970
Harmonic mappings and minimal submanifolds. Zbl 0446.58006
Hildebrandt, S.; Jost, J.; Widman, K.-O.
58
1980
Über den numerischen Wertebereich eines Operators. Zbl 0138.39101
Hildebrandt, S.
56
1966
Minimal surfaces. With assistance and contributions by A. Küster and R. Jakob. 2nd revised and enlarged ed. Zbl 1213.53002
Dierkes, Ulrich; Hildebrandt, Stefan; Sauvigny, Friedrich
55
2010
On the Hölder continuity of weak solutions of quasilinear elliptic systems of second order. Zbl 0353.35013
Hildebrandt, Stefan; Widman, Kjell-ove
52
1977
Minimal surfaces II. Boundary regularity. Zbl 0777.53013
Dierkes, Ulrich; Hildebrandt, Stefan; Küster, Albrecht; Wohlrab, Ortwin
47
1992
Boundary behavior of minimal surfaces. Zbl 0183.39402
Hildebrandt, S.
47
1969
Two-dimensional variational problems with obstructions, and Plateau’s problem for H-surfaces in a Riemannian manifold. Zbl 0245.53006
Hildebrandt, Stefan; Kaul, Helmut
43
1972
Constructive proofs of representation theorems in separable Hilbert space. Zbl 0131.13401
Hildebrandt, S.; Wienholtz, E.
38
1964
Regularity of minimal surfaces. With assistance and contributions by A. Küster. 2nd revised and enlarged ed. Zbl 1213.53003
Dierkes, Ulrich; Hildebrandt, Stefan; Tromba, Anthony J.
29
2010
Calculus of variations 2. The Hamiltonian formalism. Zbl 0853.49002
Giaquinta, Mariano; Hildebrandt, Stefan
29
1996
The number of branch points of surfaces of bounded mean curvature. Zbl 0195.23003
Heinz, Erhard; Hildebrandt, Stefan
28
1970
Some remarks on minimal surfaces in Riemannian manifolds. Zbl 0188.42102
Heinz, Erhard; Hildebrandt, S.
26
1970
Über Flächen konstanter mittlerer Krümmung. Zbl 0183.39501
Hildebrandt, S.
25
1969
A priori estimates for harmonic mappings. Zbl 0508.58015
Giaquinta, Mariano; Hildebrandt, Stefan
24
1982
Maximum principles for minimal surfaces and for surfaces of continuous mean curvature. Zbl 0253.53005
Hildebrandt, Stefan
23
1972
Minimal surfaces with free boundaries. Zbl 0444.49035
Hildebrandt, S.; Nitsche, J. C. C.
21
1979
Global analysis of minimal surfaces. 2nd revised and enlarged ed. Zbl 1213.53013
Dierkes, Ulrich; Hildebrandt, Stefan; Tromba, Anthony J.
20
2010
Randwertprobleme für Flächen mit vorgeschriebener mittlerer Krümmung und Anwendungen auf die Kapillaritätstheorie. I: Fest vorgegebener Rand. Zbl 0175.40403
Hildebrandt, S.
20
1969
Variational inequalities for vectorvalued functions. Zbl 0408.49012
Hildebrandt, S.; Widman, K.-O.
19
1979
On the boundary behavior of minimal surfaces with a free boundary which are not minima of the area. Zbl 0483.49037
Grueter, Michael; Hildebrandt, Stefan; Nitsche, Johannes C. C.
18
1981
Liouville theorems for harmonic mappings, and an approach to Bernstein theorems. Zbl 0505.58014
Hildebrandt, S.
14
1982
On two-dimensional parametric variational problems. Zbl 0934.49022
Hildebrandt, Stefan; von der Mosel, Heiko
13
1999
The Parsimonious universe. Shape and form in the natural world. Zbl 0860.01002
Hildebrandt, Stephan; Tromba, Anthony
13
1996
The two-dimensional analogue of the catenary. Zbl 0483.49038
Boehme, Reinhold; Hildebrandt, Stefan; Tausch, Engelbert
13
1980
Über das Randverhalten von Minimalflächen. Zbl 0138.42302
Hildebrandt, S.
13
1966
Regularity for stationary surfaces of constant mean curvature with free boundaries. Zbl 0609.49027
Grüter, M.; Hildebrandt, S.; Nitsche, J. C. C.
12
1986
Harmonic mappings of Riemannian manifolds. Zbl 0581.58011
Hildebrandt, Stefan
12
1985
Nonlinear elliptic systems and harmonic mappings. Zbl 0515.58012
Hildebrandt, Stefan
12
1982
A uniqueness theorem for surfaces of least area with partially free boundaries on obstacles. Zbl 0506.49017
Hildebrandt, Stefan; Nitsche, Johannes C. C.
12
1982
Embeddedness and uniqueness of minimal surfaces solving a partially free boundary value problem. Zbl 0729.53014
Hildebrandt, S.; Sauvigny, Friedrich
11
1991
Optimal boundary regularity for minimal surfaces with a free boundary. Zbl 0465.49029
Hildebrandt, Stefan; Nitsche, Johannes C. C.
11
1981
Sätze vom Liouvilleschen Typ für quasilineare elliptische Gleichungen und Systeme. Zbl 0426.35037
Hildebrandt, Stefan; Widman, Kjell-Ove
11
1979
Variational problems with obstacles and a volume constraint. Zbl 0284.49017
Hildebrandt, S.; Wente, H. C.
11
1973
Harmonic mappings into Riemannian manifolds with non-positive sectional curvature. Zbl 0321.53036
Hildebrandt, Stefan; Kaul, Helmut; Widman, Kjell-Ove
10
1976
Zum Randverhalten der Lösungen gewisser zweidimensionaler Variationsprobleme mit freien Randbedingungen. Zbl 0202.20502
Goldhorn, K.; Hildebrandt, S.
10
1970
Plateau’s problem for parametric double integrals. I: Existence and regularity in the interior. Zbl 1031.49038
Hildebrandt, Stefan; von der Mosel, Heiko
9
2003
The Parsimonious universe. Shape and form in the natural world. Transl. from the Engl. by Stefan Hildebrandt. Zbl 0860.01004
Hildebrandt, Stefan; Tromba, Anthony
9
1996
On the regularity of surfaces with prescribed man curvature at a free boundary. Zbl 0204.11504
Hildebrandt, S.; Jäger, W.
9
1970
Über die Lösung nichtlinearer Eigenwertaufgaben mit dem Galerkinverfahren. Zbl 0155.46402
Hildebrandt, S.
9
1967
Conformal mapping of multiply connected Riemann domains by a variational approach. Zbl 1175.30012
Hildebrandt, Stefan; von der Mosel, Heiko
8
2009
Conformal representation of surfaces, and Plateau’s problem for Cartan functionals. Zbl 1107.49015
Hildebrandt, Stefan; von der Mosel, Heiko
8
2005
Randwertprobleme für Flächen mit vorgeschriebener mittlerer Krümmung und Anwendungen auf die Kapillaritätstheorie. II: Freie Ränder. (Boundary value problems for surfaces with prescript mean curvature and applications to the capillarity theory. II: Free boundary values). Zbl 0225.49039
Hildebrandt, Stefan
8
1970
The closure of the numerical range of an operator as spectral set. Zbl 0134.11901
Hildebrandt, S.
8
1964
Rand- und Eigenwertaufgaben bei stark elliptischen Systemen linearer Differentialgleichungen. Zbl 0114.05404
Hildebrandt, S.
8
1962
Analysis 2. Zbl 1112.26001
Hildebrandt, Stefan
7
2003
Boundary configurations spanning continua of minimal surfaces. Zbl 0589.53008
Gulliver, Robert; Hildebrandt, Stefan
7
1986
Über Minimalflächen mit freiem Rand. Zbl 0158.39902
Hildebrandt, S.
7
1967
On Lichtenstein’s theorem about globally conformal mappings. Zbl 1079.49028
Hildebrandt, Stefan; von der Mosel, Heiko
6
2005
Plateau’s problem for parametric double integrals. II: Regularity at the boundary. Zbl 1033.49046
Hildebrandt, Stefan; von der Mosel, Heiko
6
2003
Interior \(C^{1+ \alpha}\)-regularity of solutions of two-dimensional variational problems with obstacles. Zbl 0275.49007
Hildebrandt, Stefan
6
1973
Ein einfacher Beweis für die Regularität der Lösungen gewisser zweidimensionaler Variationsprobleme unter freien Randbedingungen. Zbl 0213.38404
Hildebrandt, S.
6
1971
Einige Bemerkungen über Flächen beschränkter mittlerer Krümmung. (Some remarks about surfaces of bounded mean curvature). Zbl 0185.50201
Hildebrandt, S.
6
1970
On the analyticity of minimal surfaces at movable boundaries of prescribed length. Zbl 0617.53010
Dierkes, U.; Hildebrandt, S.; Lewy, H.
5
1987
Geometric properties of minimal surfaces with free boundaries. Zbl 0505.49020
Hildebrandt, Stefan; Nitsche, Johannes C. C.
5
1983
Mathematical aspects of t’Hofft’s eigenvalue problem in two-dimensional quantum chromodynamics. I: A variational approach, and nodal properties of the eigenfunctions. Zbl 0375.45004
Hildebrandt, Stefan
5
1978
On Dirichlet’s principle and Poincaré’s méthode de balayage. Zbl 1157.35340
Hildebrandt, Stefan
4
2005
Dominance functions for parametric Lagrangians. Zbl 1259.49024
Hildebrandt, Stefan; von der Mosel, Heiko
4
2003
On one-to-one harmonic mappings and minimal surfaces. Zbl 0794.35050
Hildebrandt, Stefan; Sauvigny, Friedrich
4
1992
Quasilinear elliptic systems in diagonal form. Zbl 0533.35026
Hildebrandt, S.
4
1983
On variational problems with obstacles and integral constraints for vector-valued functions. Zbl 0432.35002
Hildebrandt, Stefan; Meier, Michael
4
1979
Nonlinear problems in mathematical physics and related topics I. In honor of Professor O. A. Ladyzhenskaya. Zbl 0998.00008
Birman, Michael Sh. (ed.); Hildebrandt, Stefan (ed.); Solonnikov, V. A. (ed.); Uraltseva, N. N. (ed.)
3
2002
Uniqueness of stable minimal surfaces with partially free boundaries. Zbl 0831.53006
Hildebrandt, Stefan; Sauvigny, Friedrich
3
1995
Estimation à priori des solutions faibles de certains systèmes non linéaires elliptiques. Zbl 0486.35030
Giaquinta, M.; Hildebrandt, S.
3
1981
Dirichlet’s boundary value problem for harmonic mappings of Riemannian manifolds. Zbl 0313.31015
Hildebrandt, Stefan; Kaul, Helmut; Widman, Kjell-Ove
3
1976
On the regularity of solutions of two-dimensional variational problems with obstructions. Zbl 0239.49024
Hildebrandt, Stefan
3
1972
Über einen neuen Existenzsatz für Flächen vorgeschriebener mittlerer Krümmung. Zbl 0202.20501
Hildebrandt, S.
3
1971
Einige konstruktive Methoden bei Randwertaufgaben für lineare partielle Differentialgleichungssysteme und in der Theorie harmonischer Differentialformen. I. Zbl 0116.30002
Hildebrandt, S.
3
1963
An energy estimate for the difference of solutions for the \(n\)-dimensional equation with prescribed mean curvature and removable singularities. Zbl 1181.35086
Hildebrandt, Stefan; Sauvigny, Friedrich
2
2009
Geometric analysis and nonlinear partial differential equations. Zbl 1007.00073
Hildebrandt, Stefan (ed.); Karcher, Hermann (ed.)
2
2003
The partially free boundary problem for parametric double integrals. Zbl 1055.49024
Hildebrandt, Stefan; von der Mosel, Heiko
2
2002
Analysis 1. Zbl 1057.26001
Hildebrandt, Stefan
2
2002
Minimal surfaces in a wedge. II: The edge-creeping phenomenon. Zbl 0920.49025
Hildebrandt, Stefan; Sauvigny, Friedrich
2
1997
Contact transformations, Huygen’s principle, and calculus of variations. Zbl 0809.35010
Hildebrandt, Stefan
2
1994
Liouville theorems for harmonic mappings, and an approach to Bernstein theorems. Zbl 0478.53030
Hildebrandt, Stefan
2
1982
Mathematical aspects of ’t Hooft’s eigenvalue problem in two-dimensional quantum chromodynamics. Part III. Zbl 0446.45007
Hildebrandt, Stefan; Visnjic-Triantafillou, Vladimir
2
1979
Mathematical aspects of ’t Hooft’s eigenvalue problem in two-dimensional quantum chromodynamics. Zbl 0412.45008
Hildebrandt, Stefan
2
1979
Numerischer Wertebereich und normale Dilatationen. Zbl 0131.12802
Hildebrandt, S.
2
1965
Über die Identität der Sobolewschen und der Calkin-Morreyschen Räume. Zbl 0117.33302
Hildebrandt, S.
2
1962
Relative minimizers of energy are relative minimizers of area. Zbl 1211.49050
Hildebrandt, Stefan; Sauvigny, Friedrich
1
2010
On the branch point index of minimal surfaces. Zbl 1181.49040
Hildebrandt, Stefan; Tromba, Anthony J.
1
2009
Nonlinear problems in mathematical physics and related topics I. In honour of Prof. O. A. Ladyzhenskaya. Zbl 0998.00009
Birman, M. Sh. (ed.); Gil’debrandt, Stefan (ed.); Solonnikov, V. A. (ed.); Ural’tseva, Nina N. (ed.)
1
2002
Nonlinear problems in mathematical physics and related topics II. In honour of Professor O. A. Ladyzhenskaya. Zbl 1005.00022
Birman, Michael Sh. (ed.); Hildebrandt, Stefan (ed.); Solonnikov, Vsevolod A. (ed.); Uraltseva, Nina N. (ed.)
1
2002
Minimal surfaces in a wedge. III: Existence of graph solutions and some uniqueness results. Zbl 0940.49024
Hildebrandt, Stefan; Sauvigny, Friedrich
1
1999
Minimal surfaces in a wedge. IV: Hölder estimates of the Gauss map and a Bernstein theorem. Zbl 0957.49025
Hildebrandt, Stefan; Sauvigny, Friedrich
1
1999
Boundary value problems for minimal surfaces. Zbl 0890.53002
Hildebrandt, Stefan
1
1997
Minimal surfaces in a wedge. I: Asymptotic expansions. Zbl 0920.49024
Hildebrandt, Stefan; Sauvigny, Friedrich
1
1997
On Hölder’s transformation. Zbl 0835.49020
Hildebrandt, Stefan
1
1994
Partial differential equations and calculus of variations. Zbl 0813.35001
Bemelmans, Josef; Hildebrandt, Stefan; von Wahl, Wolf
1
1990
The calculus of variations today (translated by A. Shenitzer). Zbl 0689.49003
Hildebrandt, Stefan
1
1989
Free boundary problems for minimal surfaces and related questions. Zbl 0601.58021
Hildebrandt, Stefan
1
1986
Some recent contributions to Plateau’s problem. Zbl 0221.53060
Hildebrandt, S.
1
1971
Über die alternierenden Verfahren von H.A. Schwarz und C. Neumann. Zbl 0165.12401
Hildebrandt, S.
1
1968
Zur Konvergenz von Operatorprodukten im Hilbertraum. Zbl 0164.44003
Hildebrandt, S.; Schmidt, B.
1
1968
Minimal surfaces. With assistance and contributions by A. Küster and R. Jakob. 2nd revised and enlarged ed. Zbl 1213.53002
Dierkes, Ulrich; Hildebrandt, Stefan; Sauvigny, Friedrich
55
2010
Regularity of minimal surfaces. With assistance and contributions by A. Küster. 2nd revised and enlarged ed. Zbl 1213.53003
Dierkes, Ulrich; Hildebrandt, Stefan; Tromba, Anthony J.
29
2010
Global analysis of minimal surfaces. 2nd revised and enlarged ed. Zbl 1213.53013
Dierkes, Ulrich; Hildebrandt, Stefan; Tromba, Anthony J.
20
2010
Relative minimizers of energy are relative minimizers of area. Zbl 1211.49050
Hildebrandt, Stefan; Sauvigny, Friedrich
1
2010
Conformal mapping of multiply connected Riemann domains by a variational approach. Zbl 1175.30012
Hildebrandt, Stefan; von der Mosel, Heiko
8
2009
An energy estimate for the difference of solutions for the \(n\)-dimensional equation with prescribed mean curvature and removable singularities. Zbl 1181.35086
Hildebrandt, Stefan; Sauvigny, Friedrich
2
2009
On the branch point index of minimal surfaces. Zbl 1181.49040
Hildebrandt, Stefan; Tromba, Anthony J.
1
2009
Conformal representation of surfaces, and Plateau’s problem for Cartan functionals. Zbl 1107.49015
Hildebrandt, Stefan; von der Mosel, Heiko
8
2005
On Lichtenstein’s theorem about globally conformal mappings. Zbl 1079.49028
Hildebrandt, Stefan; von der Mosel, Heiko
6
2005
On Dirichlet’s principle and Poincaré’s méthode de balayage. Zbl 1157.35340
Hildebrandt, Stefan
4
2005
Plateau’s problem for parametric double integrals. I: Existence and regularity in the interior. Zbl 1031.49038
Hildebrandt, Stefan; von der Mosel, Heiko
9
2003
Analysis 2. Zbl 1112.26001
Hildebrandt, Stefan
7
2003
Plateau’s problem for parametric double integrals. II: Regularity at the boundary. Zbl 1033.49046
Hildebrandt, Stefan; von der Mosel, Heiko
6
2003
Dominance functions for parametric Lagrangians. Zbl 1259.49024
Hildebrandt, Stefan; von der Mosel, Heiko
4
2003
Geometric analysis and nonlinear partial differential equations. Zbl 1007.00073
Hildebrandt, Stefan (ed.); Karcher, Hermann (ed.)
2
2003
Nonlinear problems in mathematical physics and related topics I. In honor of Professor O. A. Ladyzhenskaya. Zbl 0998.00008
Birman, Michael Sh. (ed.); Hildebrandt, Stefan (ed.); Solonnikov, V. A. (ed.); Uraltseva, N. N. (ed.)
3
2002
The partially free boundary problem for parametric double integrals. Zbl 1055.49024
Hildebrandt, Stefan; von der Mosel, Heiko
2
2002
Analysis 1. Zbl 1057.26001
Hildebrandt, Stefan
2
2002
Nonlinear problems in mathematical physics and related topics I. In honour of Prof. O. A. Ladyzhenskaya. Zbl 0998.00009
Birman, M. Sh. (ed.); Gil’debrandt, Stefan (ed.); Solonnikov, V. A. (ed.); Ural’tseva, Nina N. (ed.)
1
2002
Nonlinear problems in mathematical physics and related topics II. In honour of Professor O. A. Ladyzhenskaya. Zbl 1005.00022
Birman, Michael Sh. (ed.); Hildebrandt, Stefan (ed.); Solonnikov, Vsevolod A. (ed.); Uraltseva, Nina N. (ed.)
1
2002
On two-dimensional parametric variational problems. Zbl 0934.49022
Hildebrandt, Stefan; von der Mosel, Heiko
13
1999
Minimal surfaces in a wedge. III: Existence of graph solutions and some uniqueness results. Zbl 0940.49024
Hildebrandt, Stefan; Sauvigny, Friedrich
1
1999
Minimal surfaces in a wedge. IV: Hölder estimates of the Gauss map and a Bernstein theorem. Zbl 0957.49025
Hildebrandt, Stefan; Sauvigny, Friedrich
1
1999
One-dimensional variational problems. An introduction. Zbl 0915.49001
Buttazzo, Giuseppe; Giaquinta, Mariano; Hildebrandt, Stefan
107
1998
Minimal surfaces in a wedge. II: The edge-creeping phenomenon. Zbl 0920.49025
Hildebrandt, Stefan; Sauvigny, Friedrich
2
1997
Boundary value problems for minimal surfaces. Zbl 0890.53002
Hildebrandt, Stefan
1
1997
Minimal surfaces in a wedge. I: Asymptotic expansions. Zbl 0920.49024
Hildebrandt, Stefan; Sauvigny, Friedrich
1
1997
Calculus of variations 1. The Lagrangian formalism. Zbl 0853.49001
Giaquinta, Mariano; Hildebrandt, Stefan
95
1996
Calculus of variations 2. The Hamiltonian formalism. Zbl 0853.49002
Giaquinta, Mariano; Hildebrandt, Stefan
29
1996
The Parsimonious universe. Shape and form in the natural world. Zbl 0860.01002
Hildebrandt, Stephan; Tromba, Anthony
13
1996
The Parsimonious universe. Shape and form in the natural world. Transl. from the Engl. by Stefan Hildebrandt. Zbl 0860.01004
Hildebrandt, Stefan; Tromba, Anthony
9
1996
Uniqueness of stable minimal surfaces with partially free boundaries. Zbl 0831.53006
Hildebrandt, Stefan; Sauvigny, Friedrich
3
1995
Contact transformations, Huygen’s principle, and calculus of variations. Zbl 0809.35010
Hildebrandt, Stefan
2
1994
On Hölder’s transformation. Zbl 0835.49020
Hildebrandt, Stefan
1
1994
Minimal surfaces I. Boundary value problems. Zbl 0777.53012
Dierkes, Ulrich; Hildebrandt, Stefan; Küster, Albrecht; Wohlrab, Ortwin
71
1992
Minimal surfaces II. Boundary regularity. Zbl 0777.53013
Dierkes, Ulrich; Hildebrandt, Stefan; Küster, Albrecht; Wohlrab, Ortwin
47
1992
On one-to-one harmonic mappings and minimal surfaces. Zbl 0794.35050
Hildebrandt, Stefan; Sauvigny, Friedrich
4
1992
Embeddedness and uniqueness of minimal surfaces solving a partially free boundary value problem. Zbl 0729.53014
Hildebrandt, S.; Sauvigny, Friedrich
11
1991
Partial differential equations and calculus of variations. Zbl 0813.35001
Bemelmans, Josef; Hildebrandt, Stefan; von Wahl, Wolf
1
1990
The calculus of variations today (translated by A. Shenitzer). Zbl 0689.49003
Hildebrandt, Stefan
1
1989
On the analyticity of minimal surfaces at movable boundaries of prescribed length. Zbl 0617.53010
Dierkes, U.; Hildebrandt, S.; Lewy, H.
5
1987
Regularity for stationary surfaces of constant mean curvature with free boundaries. Zbl 0609.49027
Grüter, M.; Hildebrandt, S.; Nitsche, J. C. C.
12
1986
Boundary configurations spanning continua of minimal surfaces. Zbl 0589.53008
Gulliver, Robert; Hildebrandt, Stefan
7
1986
Free boundary problems for minimal surfaces and related questions. Zbl 0601.58021
Hildebrandt, Stefan
1
1986
Harmonic mappings of Riemannian manifolds. Zbl 0581.58011
Hildebrandt, Stefan
12
1985
Geometric properties of minimal surfaces with free boundaries. Zbl 0505.49020
Hildebrandt, Stefan; Nitsche, Johannes C. C.
5
1983
Quasilinear elliptic systems in diagonal form. Zbl 0533.35026
Hildebrandt, S.
4
1983
A priori estimates for harmonic mappings. Zbl 0508.58015
Giaquinta, Mariano; Hildebrandt, Stefan
24
1982
Liouville theorems for harmonic mappings, and an approach to Bernstein theorems. Zbl 0505.58014
Hildebrandt, S.
14
1982
Nonlinear elliptic systems and harmonic mappings. Zbl 0515.58012
Hildebrandt, Stefan
12
1982
A uniqueness theorem for surfaces of least area with partially free boundaries on obstacles. Zbl 0506.49017
Hildebrandt, Stefan; Nitsche, Johannes C. C.
12
1982
Liouville theorems for harmonic mappings, and an approach to Bernstein theorems. Zbl 0478.53030
Hildebrandt, Stefan
2
1982
On the boundary behavior of minimal surfaces with a free boundary which are not minima of the area. Zbl 0483.49037
Grueter, Michael; Hildebrandt, Stefan; Nitsche, Johannes C. C.
18
1981
Optimal boundary regularity for minimal surfaces with a free boundary. Zbl 0465.49029
Hildebrandt, Stefan; Nitsche, Johannes C. C.
11
1981
Estimation à priori des solutions faibles de certains systèmes non linéaires elliptiques. Zbl 0486.35030
Giaquinta, M.; Hildebrandt, S.
3
1981
Harmonic mappings and minimal submanifolds. Zbl 0446.58006
Hildebrandt, S.; Jost, J.; Widman, K.-O.
58
1980
The two-dimensional analogue of the catenary. Zbl 0483.49038
Boehme, Reinhold; Hildebrandt, Stefan; Tausch, Engelbert
13
1980
Minimal surfaces with free boundaries. Zbl 0444.49035
Hildebrandt, S.; Nitsche, J. C. C.
21
1979
Variational inequalities for vectorvalued functions. Zbl 0408.49012
Hildebrandt, S.; Widman, K.-O.
19
1979
Sätze vom Liouvilleschen Typ für quasilineare elliptische Gleichungen und Systeme. Zbl 0426.35037
Hildebrandt, Stefan; Widman, Kjell-Ove
11
1979
On variational problems with obstacles and integral constraints for vector-valued functions. Zbl 0432.35002
Hildebrandt, Stefan; Meier, Michael
4
1979
Mathematical aspects of ’t Hooft’s eigenvalue problem in two-dimensional quantum chromodynamics. Part III. Zbl 0446.45007
Hildebrandt, Stefan; Visnjic-Triantafillou, Vladimir
2
1979
Mathematical aspects of ’t Hooft’s eigenvalue problem in two-dimensional quantum chromodynamics. Zbl 0412.45008
Hildebrandt, Stefan
2
1979
Mathematical aspects of t’Hofft’s eigenvalue problem in two-dimensional quantum chromodynamics. I: A variational approach, and nodal properties of the eigenfunctions. Zbl 0375.45004
Hildebrandt, Stefan
5
1978
An existence theorem for harmonic mappings of Riemannian manifolds. Zbl 0356.53015
HIldebrandt, Stefan; Kaul, Helmut; Widman, Kjell-Ove
133
1977
On the Hölder continuity of weak solutions of quasilinear elliptic systems of second order. Zbl 0353.35013
Hildebrandt, Stefan; Widman, Kjell-ove
52
1977
Harmonic mappings into Riemannian manifolds with non-positive sectional curvature. Zbl 0321.53036
Hildebrandt, Stefan; Kaul, Helmut; Widman, Kjell-Ove
10
1976
Dirichlet’s boundary value problem for harmonic mappings of Riemannian manifolds. Zbl 0313.31015
Hildebrandt, Stefan; Kaul, Helmut; Widman, Kjell-Ove
3
1976
Some regularity results for quasilinear elliptic systems of second order. Zbl 0317.35040
Hildebrandt, Stefan; Widman, Kjell-Ove
65
1975
Variational problems with obstacles and a volume constraint. Zbl 0284.49017
Hildebrandt, S.; Wente, H. C.
11
1973
Interior \(C^{1+ \alpha}\)-regularity of solutions of two-dimensional variational problems with obstacles. Zbl 0275.49007
Hildebrandt, Stefan
6
1973
Two-dimensional variational problems with obstructions, and Plateau’s problem for H-surfaces in a Riemannian manifold. Zbl 0245.53006
Hildebrandt, Stefan; Kaul, Helmut
43
1972
Maximum principles for minimal surfaces and for surfaces of continuous mean curvature. Zbl 0253.53005
Hildebrandt, Stefan
23
1972
On the regularity of solutions of two-dimensional variational problems with obstructions. Zbl 0239.49024
Hildebrandt, Stefan
3
1972
Ein einfacher Beweis für die Regularität der Lösungen gewisser zweidimensionaler Variationsprobleme unter freien Randbedingungen. Zbl 0213.38404
Hildebrandt, S.
6
1971
Über einen neuen Existenzsatz für Flächen vorgeschriebener mittlerer Krümmung. Zbl 0202.20501
Hildebrandt, S.
3
1971
Some recent contributions to Plateau’s problem. Zbl 0221.53060
Hildebrandt, S.
1
1971
On the Plateau problem for surfaces of constant mean curvature. Zbl 0181.38703
Hildebrandt, S.
61
1970
The number of branch points of surfaces of bounded mean curvature. Zbl 0195.23003
Heinz, Erhard; Hildebrandt, Stefan
28
1970
Some remarks on minimal surfaces in Riemannian manifolds. Zbl 0188.42102
Heinz, Erhard; Hildebrandt, S.
26
1970
Zum Randverhalten der Lösungen gewisser zweidimensionaler Variationsprobleme mit freien Randbedingungen. Zbl 0202.20502
Goldhorn, K.; Hildebrandt, S.
10
1970
On the regularity of surfaces with prescribed man curvature at a free boundary. Zbl 0204.11504
Hildebrandt, S.; Jäger, W.
9
1970
Randwertprobleme für Flächen mit vorgeschriebener mittlerer Krümmung und Anwendungen auf die Kapillaritätstheorie. II: Freie Ränder. (Boundary value problems for surfaces with prescript mean curvature and applications to the capillarity theory. II: Free boundary values). Zbl 0225.49039
Hildebrandt, Stefan
8
1970
Einige Bemerkungen über Flächen beschränkter mittlerer Krümmung. (Some remarks about surfaces of bounded mean curvature). Zbl 0185.50201
Hildebrandt, S.
6
1970
Boundary behavior of minimal surfaces. Zbl 0183.39402
Hildebrandt, S.
47
1969
Über Flächen konstanter mittlerer Krümmung. Zbl 0183.39501
Hildebrandt, S.
25
1969
Randwertprobleme für Flächen mit vorgeschriebener mittlerer Krümmung und Anwendungen auf die Kapillaritätstheorie. I: Fest vorgegebener Rand. Zbl 0175.40403
Hildebrandt, S.
20
1969
Über die alternierenden Verfahren von H.A. Schwarz und C. Neumann. Zbl 0165.12401
Hildebrandt, S.
1
1968
Zur Konvergenz von Operatorprodukten im Hilbertraum. Zbl 0164.44003
Hildebrandt, S.; Schmidt, B.
1
1968
Über die Lösung nichtlinearer Eigenwertaufgaben mit dem Galerkinverfahren. Zbl 0155.46402
Hildebrandt, S.
9
1967
Über Minimalflächen mit freiem Rand. Zbl 0158.39902
Hildebrandt, S.
7
1967
Über den numerischen Wertebereich eines Operators. Zbl 0138.39101
Hildebrandt, S.
56
1966
Über das Randverhalten von Minimalflächen. Zbl 0138.42302
Hildebrandt, S.
13
1966
Numerischer Wertebereich und normale Dilatationen. Zbl 0131.12802
Hildebrandt, S.
2
1965
Constructive proofs of representation theorems in separable Hilbert space. Zbl 0131.13401
Hildebrandt, S.; Wienholtz, E.
38
1964
The closure of the numerical range of an operator as spectral set. Zbl 0134.11901
Hildebrandt, S.
8
1964
Einige konstruktive Methoden bei Randwertaufgaben für lineare partielle Differentialgleichungssysteme und in der Theorie harmonischer Differentialformen. I. Zbl 0116.30002
Hildebrandt, S.
3
1963
Rand- und Eigenwertaufgaben bei stark elliptischen Systemen linearer Differentialgleichungen. Zbl 0114.05404
Hildebrandt, S.
8
1962
Über die Identität der Sobolewschen und der Calkin-Morreyschen Räume. Zbl 0117.33302
Hildebrandt, S.
2
1962
all top 5

Cited by 1,090 Authors

41 Hildebrandt, Stefan
26 Jost, Jürgen
14 Nitsche, Johannes Carl Christian
14 Stephan, Ernst Peter
13 Sauvigny, Friedrich
12 Duzaar, Frank
12 Fuchs, Martin
12 Struwe, Michael
12 Tomi, Friedrich
10 von der Mosel, Heiko
9 Dierkes, Ulrich
9 Jakob, Ruben
9 Onninen, Jani
9 Xin, Yuanlong
8 Arkhipova, Arina A. Arkhipova
8 Frehse, Jens
8 Gulliver, Robert D. II
8 Iwaniec, Tadeusz
8 Kaul, Helmut
7 Giaquinta, Mariano
7 Meeks, William Hamilton III
7 Mingione, Giuseppe
7 Tromba, Anthony Joseph
6 Bergner, Matthias
6 Fujii, Masatoshi
6 Grabovsky, Yury
6 Grotowski, Joseph F.
6 Grüter, Michael
6 Kalaj, David
6 Lopez Camino, Rafael
6 Schikorra, Armin
6 Schoen, Richard Melvin
6 Wendland, Wolfgang L.
6 Wente, Henry C.
6 Widman, Kjell-Ove
6 Wiegner, Michael
6 Winklmann, Sven
6 Yan, Jun
6 Zhang, Shiqing
5 Brézis, Haïm
5 Caldiroli, Paolo
5 Dong, Yuxin
5 Dziuk, Gerhard
5 Fröhlich, Steffen
5 Gratwick, Richard
5 Hoffman, David A.
5 Hong, Minchun
5 Mariani, Maria Cristina
5 Massa, Enrico
5 Misawa, Masashi
5 Morgan, Frank
5 Omari, Pierpaolo
5 Pagani, Enrico M.
5 Salavessa, Isabel M. C.
5 Steffen, Klaus
5 Sychev, Mikhail A.
5 Tachikawa, Atsushi
5 Truskinovsky, Lev
5 Wang, Guofang
5 Yang, Ling
4 Abels, Helmut
4 Bankevich, Sergey V.
4 Bellettini, Giovanni
4 Bulíček, Miroslav
4 Chen, Qun
4 Choi, Hyeong In
4 Davini, Andrea
4 Deng, Chunhua
4 Fathi, Albert
4 Heinz, Erhard
4 Huang, Tao
4 Jäger, Willi
4 Malinowska, Agnieszka Barbara
4 Martin, Calin-Iulian
4 Meier, Michael
4 Müller, Frank
4 Musina, Roberta
4 Nakamoto, Ritsuo
4 Siconolfi, Antonio
4 Ströhmer, Gerhard
4 Tan, Zhong
4 Tsuchiya, Takuya
4 Wang, Changyou
4 Wenger, Stefan
4 Yau, Shing-Tung
4 Ye, Rugang
3 Akutagawa, Kazuo
3 Amster, Pablo
3 Baldes, Alfred
3 Bethuel, Fabrice
3 Bourgoin, Jean-Christophe
3 Browder, Felix Earl
3 Bruno, Danilo
3 Chang, Tongkeun
3 Coron, Jean-Michel
3 Costabel, Martin
3 Eichhorn, Jürgen
3 Fardoun, Ali
3 Finn, Robert S.
3 Fried, Eliot
...and 990 more Authors
all top 5

Cited in 252 Serials

88 Manuscripta Mathematica
80 Mathematische Zeitschrift
52 Calculus of Variations and Partial Differential Equations
46 Archive for Rational Mechanics and Analysis
32 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
23 Mathematische Annalen
22 Inventiones Mathematicae
21 Journal of Mathematical Analysis and Applications
20 Transactions of the American Mathematical Society
18 Annals of Global Analysis and Geometry
17 Journal of Differential Equations
15 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
15 Proceedings of the American Mathematical Society
13 Annali di Matematica Pura ed Applicata. Serie Quarta
13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
13 Proceedings of the Japan Academy
12 Journal of Geometry and Physics
12 Advances in Calculus of Variations
11 The Journal of Geometric Analysis
10 Journal of Mathematical Sciences (New York)
10 Bulletin of the American Mathematical Society
9 Acta Mathematica
9 Differential Geometry and its Applications
9 Communications in Partial Differential Equations
9 Linear Algebra and its Applications
9 Analysis (München)
8 Advances in Mathematics
7 Applicable Analysis
7 Communications in Mathematical Physics
7 Archiv der Mathematik
7 Duke Mathematical Journal
7 Geometriae Dedicata
7 Journal de Mathématiques Pures et Appliquées. Neuvième Série
6 Journal of Functional Analysis
6 Numerische Mathematik
6 Results in Mathematics
6 Applied Numerical Mathematics
6 Journal of Mathematical Fluid Mechanics
6 International Journal of Geometric Methods in Modern Physics
6 Nonlinear Analysis. Theory, Methods & Applications
5 Communications on Pure and Applied Mathematics
5 Journal of Computational Physics
5 Rocky Mountain Journal of Mathematics
5 Mathematics of Computation
5 Journal für die Reine und Angewandte Mathematik
5 Computer Aided Geometric Design
5 Journal of Elasticity
5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
5 Bulletin of the American Mathematical Society. New Series
5 St. Petersburg Mathematical Journal
5 Communications in Contemporary Mathematics
5 Milan Journal of Mathematics
4 Journal of Fluid Mechanics
4 The Mathematical Intelligencer
4 Applied Mathematics and Optimization
4 Rendiconti del Seminario Matematico della Università di Padova
4 Zeitschrift für Analysis und ihre Anwendungen
4 Chinese Annals of Mathematics. Series B
4 Revista Matemática Iberoamericana
4 SIAM Journal on Mathematical Analysis
4 Acta Mathematica Sinica. New Series
4 Journal of Nonlinear Science
4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
4 Abstract and Applied Analysis
4 Acta Mathematica Sinica. English Series
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Communications in Mathematics
3 Computer Methods in Applied Mechanics and Engineering
3 Israel Journal of Mathematics
3 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
3 Journal d’Analyse Mathématique
3 Journal of Mathematical Physics
3 Mathematical Notes
3 Theoretical and Mathematical Physics
3 Arkiv för Matematik
3 Applied Mathematics and Computation
3 Journal of Optimization Theory and Applications
3 Physica D
3 Journal of the American Mathematical Society
3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
3 Applications of Mathematics
3 Potential Analysis
3 NoDEA. Nonlinear Differential Equations and Applications
3 Discrete and Continuous Dynamical Systems
3 Interfaces and Free Boundaries
3 Journal of High Energy Physics
3 Complex Variables and Elliptic Equations
3 Journal of Fixed Point Theory and Applications
3 Frontiers of Mathematics in China
3 Analysis and Geometry in Metric Spaces
2 Bulletin of the Australian Mathematical Society
2 International Journal of Theoretical Physics
2 Journal of Engineering Mathematics
2 Mathematical Methods in the Applied Sciences
2 Physics Letters. A
2 Reviews in Mathematical Physics
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Czechoslovak Mathematical Journal
2 Functional Analysis and its Applications
2 Integral Equations and Operator Theory
...and 152 more Serials
all top 5

Cited in 51 Fields

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

Citations by Year

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