Edit Profile Hildebrandt, Stefan Compute Distance To: Compute Author ID: 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 all top 5 Co-Authors 57 single-authored 11 Sauvigny, Friedrich 8 von der Mosel, Heiko 8 Widman, Kjell-Ove 6 Dierkes, Ulrich 6 Nitsche, Johannes Carl Christian 6 Tromba, Anthony Joseph 5 Giaquinta, Mariano 4 Birman, Mikhail Shlëmovich 4 Kaul, Helmut 4 Solonnikov, Vsevolod Alekseevich 4 Ural’tseva, Nina Nikolaevna 2 Grüter, Michael 2 Heinz, Erhard 2 Küster, Albrecht 2 Wohlrab, Ortwin 1 Bemelmans, Josef 1 Böhme, Reinhold 1 Buttazzo, Giuseppe 1 Gähler, Siegfried 1 Goldhorn, Karlheinz 1 Gulliver, Robert D. II 1 Hölder, Ernst 1 Jäger, Willi 1 Jost, Jürgen 1 Karcher, Hermann 1 Kinderlehrer, David 1 Klötzler, Rolf 1 Lax, Peter David 1 Leis, Rolf 1 Lewy, Hans 1 Meier, Michael 1 Miranda, Mario J. 1 Schmidt, Bertil 1 Staude-Hölder, Birgit 1 Struwe, Michael 1 Tausch, Engelbert 1 Visnjic-Triantafillou, Vladimir 1 von Wahl, Wolf 1 Wente, Henry C. 1 Wienholtz, E. all top 5 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 all top 5 Fields 61 Calculus of variations and optimal control; optimization (49-XX) 46 Partial differential equations (35-XX) 46 Differential geometry (53-XX) 14 History and biography (01-XX) 13 General and overarching topics; collections (00-XX) 10 Global analysis, analysis on manifolds (58-XX) 6 Ordinary differential equations (34-XX) 3 Real functions (26-XX) 3 Potential theory (31-XX) 3 Integral equations (45-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Mechanics of particles and systems (70-XX) 2 Fluid mechanics (76-XX) 2 Astronomy and astrophysics (85-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications 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 0356.53015HIldebrandt, Stefan; Kaul, Helmut; Widman, Kjell-Ove 133 1977 One-dimensional variational problems. An introduction. Zbl 0915.49001Buttazzo, Giuseppe; Giaquinta, Mariano; Hildebrandt, Stefan 107 1998 Calculus of variations 1. The Lagrangian formalism. Zbl 0853.49001Giaquinta, Mariano; Hildebrandt, Stefan 95 1996 Minimal surfaces I. Boundary value problems. Zbl 0777.53012Dierkes, Ulrich; Hildebrandt, Stefan; Küster, Albrecht; Wohlrab, Ortwin 71 1992 Some regularity results for quasilinear elliptic systems of second order. Zbl 0317.35040Hildebrandt, Stefan; Widman, Kjell-Ove 65 1975 On the Plateau problem for surfaces of constant mean curvature. Zbl 0181.38703Hildebrandt, S. 61 1970 Harmonic mappings and minimal submanifolds. Zbl 0446.58006Hildebrandt, S.; Jost, J.; Widman, K.-O. 58 1980 Über den numerischen Wertebereich eines Operators. Zbl 0138.39101Hildebrandt, S. 56 1966 Minimal surfaces. With assistance and contributions by A. Küster and R. Jakob. 2nd revised and enlarged ed. Zbl 1213.53002Dierkes, Ulrich; Hildebrandt, Stefan; Sauvigny, Friedrich 55 2010 On the Hölder continuity of weak solutions of quasilinear elliptic systems of second order. Zbl 0353.35013Hildebrandt, Stefan; Widman, Kjell-ove 52 1977 Minimal surfaces II. Boundary regularity. Zbl 0777.53013Dierkes, Ulrich; Hildebrandt, Stefan; Küster, Albrecht; Wohlrab, Ortwin 47 1992 Boundary behavior of minimal surfaces. Zbl 0183.39402Hildebrandt, S. 47 1969 Two-dimensional variational problems with obstructions, and Plateau’s problem for H-surfaces in a Riemannian manifold. Zbl 0245.53006Hildebrandt, Stefan; Kaul, Helmut 43 1972 Constructive proofs of representation theorems in separable Hilbert space. Zbl 0131.13401Hildebrandt, S.; Wienholtz, E. 38 1964 Regularity of minimal surfaces. With assistance and contributions by A. Küster. 2nd revised and enlarged ed. Zbl 1213.53003Dierkes, Ulrich; Hildebrandt, Stefan; Tromba, Anthony J. 29 2010 Calculus of variations 2. The Hamiltonian formalism. Zbl 0853.49002Giaquinta, Mariano; Hildebrandt, Stefan 29 1996 The number of branch points of surfaces of bounded mean curvature. Zbl 0195.23003Heinz, Erhard; Hildebrandt, Stefan 28 1970 Some remarks on minimal surfaces in Riemannian manifolds. Zbl 0188.42102Heinz, Erhard; Hildebrandt, S. 26 1970 Über Flächen konstanter mittlerer Krümmung. Zbl 0183.39501Hildebrandt, S. 25 1969 A priori estimates for harmonic mappings. Zbl 0508.58015Giaquinta, Mariano; Hildebrandt, Stefan 24 1982 Maximum principles for minimal surfaces and for surfaces of continuous mean curvature. Zbl 0253.53005Hildebrandt, Stefan 23 1972 Minimal surfaces with free boundaries. Zbl 0444.49035Hildebrandt, S.; Nitsche, J. C. C. 21 1979 Global analysis of minimal surfaces. 2nd revised and enlarged ed. Zbl 1213.53013Dierkes, 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 0175.40403Hildebrandt, S. 20 1969 Variational inequalities for vectorvalued functions. Zbl 0408.49012Hildebrandt, 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 0483.49037Grueter, Michael; Hildebrandt, Stefan; Nitsche, Johannes C. C. 18 1981 Liouville theorems for harmonic mappings, and an approach to Bernstein theorems. Zbl 0505.58014Hildebrandt, S. 14 1982 On two-dimensional parametric variational problems. Zbl 0934.49022Hildebrandt, Stefan; von der Mosel, Heiko 13 1999 The Parsimonious universe. Shape and form in the natural world. Zbl 0860.01002Hildebrandt, Stephan; Tromba, Anthony 13 1996 The two-dimensional analogue of the catenary. Zbl 0483.49038Boehme, Reinhold; Hildebrandt, Stefan; Tausch, Engelbert 13 1980 Über das Randverhalten von Minimalflächen. Zbl 0138.42302Hildebrandt, S. 13 1966 Regularity for stationary surfaces of constant mean curvature with free boundaries. Zbl 0609.49027Grüter, M.; Hildebrandt, S.; Nitsche, J. C. C. 12 1986 Harmonic mappings of Riemannian manifolds. Zbl 0581.58011Hildebrandt, Stefan 12 1985 Nonlinear elliptic systems and harmonic mappings. Zbl 0515.58012Hildebrandt, Stefan 12 1982 A uniqueness theorem for surfaces of least area with partially free boundaries on obstacles. Zbl 0506.49017Hildebrandt, Stefan; Nitsche, Johannes C. C. 12 1982 Embeddedness and uniqueness of minimal surfaces solving a partially free boundary value problem. Zbl 0729.53014Hildebrandt, S.; Sauvigny, Friedrich 11 1991 Optimal boundary regularity for minimal surfaces with a free boundary. Zbl 0465.49029Hildebrandt, Stefan; Nitsche, Johannes C. C. 11 1981 Sätze vom Liouvilleschen Typ für quasilineare elliptische Gleichungen und Systeme. Zbl 0426.35037Hildebrandt, Stefan; Widman, Kjell-Ove 11 1979 Variational problems with obstacles and a volume constraint. Zbl 0284.49017Hildebrandt, S.; Wente, H. C. 11 1973 Harmonic mappings into Riemannian manifolds with non-positive sectional curvature. Zbl 0321.53036Hildebrandt, Stefan; Kaul, Helmut; Widman, Kjell-Ove 10 1976 Zum Randverhalten der Lösungen gewisser zweidimensionaler Variationsprobleme mit freien Randbedingungen. Zbl 0202.20502Goldhorn, K.; Hildebrandt, S. 10 1970 Plateau’s problem for parametric double integrals. I: Existence and regularity in the interior. Zbl 1031.49038Hildebrandt, 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 0860.01004Hildebrandt, Stefan; Tromba, Anthony 9 1996 On the regularity of surfaces with prescribed man curvature at a free boundary. Zbl 0204.11504Hildebrandt, S.; Jäger, W. 9 1970 Über die Lösung nichtlinearer Eigenwertaufgaben mit dem Galerkinverfahren. Zbl 0155.46402Hildebrandt, S. 9 1967 Conformal mapping of multiply connected Riemann domains by a variational approach. Zbl 1175.30012Hildebrandt, Stefan; von der Mosel, Heiko 8 2009 Conformal representation of surfaces, and Plateau’s problem for Cartan functionals. Zbl 1107.49015Hildebrandt, 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 0225.49039Hildebrandt, Stefan 8 1970 The closure of the numerical range of an operator as spectral set. Zbl 0134.11901Hildebrandt, S. 8 1964 Rand- und Eigenwertaufgaben bei stark elliptischen Systemen linearer Differentialgleichungen. Zbl 0114.05404Hildebrandt, S. 8 1962 Analysis 2. Zbl 1112.26001Hildebrandt, Stefan 7 2003 Boundary configurations spanning continua of minimal surfaces. Zbl 0589.53008Gulliver, Robert; Hildebrandt, Stefan 7 1986 Über Minimalflächen mit freiem Rand. Zbl 0158.39902Hildebrandt, S. 7 1967 On Lichtenstein’s theorem about globally conformal mappings. Zbl 1079.49028Hildebrandt, Stefan; von der Mosel, Heiko 6 2005 Plateau’s problem for parametric double integrals. II: Regularity at the boundary. Zbl 1033.49046Hildebrandt, Stefan; von der Mosel, Heiko 6 2003 Interior \(C^{1+ \alpha}\)-regularity of solutions of two-dimensional variational problems with obstacles. Zbl 0275.49007Hildebrandt, Stefan 6 1973 Ein einfacher Beweis für die Regularität der Lösungen gewisser zweidimensionaler Variationsprobleme unter freien Randbedingungen. Zbl 0213.38404Hildebrandt, S. 6 1971 Einige Bemerkungen über Flächen beschränkter mittlerer Krümmung. (Some remarks about surfaces of bounded mean curvature). Zbl 0185.50201Hildebrandt, S. 6 1970 On the analyticity of minimal surfaces at movable boundaries of prescribed length. Zbl 0617.53010Dierkes, U.; Hildebrandt, S.; Lewy, H. 5 1987 Geometric properties of minimal surfaces with free boundaries. Zbl 0505.49020Hildebrandt, 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 0375.45004Hildebrandt, Stefan 5 1978 On Dirichlet’s principle and Poincaré’s méthode de balayage. Zbl 1157.35340Hildebrandt, Stefan 4 2005 Dominance functions for parametric Lagrangians. Zbl 1259.49024Hildebrandt, Stefan; von der Mosel, Heiko 4 2003 On one-to-one harmonic mappings and minimal surfaces. Zbl 0794.35050Hildebrandt, Stefan; Sauvigny, Friedrich 4 1992 Quasilinear elliptic systems in diagonal form. Zbl 0533.35026Hildebrandt, S. 4 1983 On variational problems with obstacles and integral constraints for vector-valued functions. Zbl 0432.35002Hildebrandt, Stefan; Meier, Michael 4 1979 Nonlinear problems in mathematical physics and related topics I. In honor of Professor O. A. Ladyzhenskaya. Zbl 0998.00008Birman, 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 0831.53006Hildebrandt, Stefan; Sauvigny, Friedrich 3 1995 Estimation à priori des solutions faibles de certains systèmes non linéaires elliptiques. Zbl 0486.35030Giaquinta, M.; Hildebrandt, S. 3 1981 Dirichlet’s boundary value problem for harmonic mappings of Riemannian manifolds. Zbl 0313.31015Hildebrandt, Stefan; Kaul, Helmut; Widman, Kjell-Ove 3 1976 On the regularity of solutions of two-dimensional variational problems with obstructions. Zbl 0239.49024Hildebrandt, Stefan 3 1972 Über einen neuen Existenzsatz für Flächen vorgeschriebener mittlerer Krümmung. Zbl 0202.20501Hildebrandt, S. 3 1971 Einige konstruktive Methoden bei Randwertaufgaben für lineare partielle Differentialgleichungssysteme und in der Theorie harmonischer Differentialformen. I. Zbl 0116.30002Hildebrandt, S. 3 1963 An energy estimate for the difference of solutions for the \(n\)-dimensional equation with prescribed mean curvature and removable singularities. Zbl 1181.35086Hildebrandt, Stefan; Sauvigny, Friedrich 2 2009 Geometric analysis and nonlinear partial differential equations. Zbl 1007.00073Hildebrandt, Stefan (ed.); Karcher, Hermann (ed.) 2 2003 The partially free boundary problem for parametric double integrals. Zbl 1055.49024Hildebrandt, Stefan; von der Mosel, Heiko 2 2002 Analysis 1. Zbl 1057.26001Hildebrandt, Stefan 2 2002 Minimal surfaces in a wedge. II: The edge-creeping phenomenon. Zbl 0920.49025Hildebrandt, Stefan; Sauvigny, Friedrich 2 1997 Contact transformations, Huygen’s principle, and calculus of variations. Zbl 0809.35010Hildebrandt, Stefan 2 1994 Liouville theorems for harmonic mappings, and an approach to Bernstein theorems. Zbl 0478.53030Hildebrandt, Stefan 2 1982 Mathematical aspects of ’t Hooft’s eigenvalue problem in two-dimensional quantum chromodynamics. Part III. Zbl 0446.45007Hildebrandt, Stefan; Visnjic-Triantafillou, Vladimir 2 1979 Mathematical aspects of ’t Hooft’s eigenvalue problem in two-dimensional quantum chromodynamics. Zbl 0412.45008Hildebrandt, Stefan 2 1979 Numerischer Wertebereich und normale Dilatationen. Zbl 0131.12802Hildebrandt, S. 2 1965 Über die Identität der Sobolewschen und der Calkin-Morreyschen Räume. Zbl 0117.33302Hildebrandt, S. 2 1962 Relative minimizers of energy are relative minimizers of area. Zbl 1211.49050Hildebrandt, Stefan; Sauvigny, Friedrich 1 2010 On the branch point index of minimal surfaces. Zbl 1181.49040Hildebrandt, Stefan; Tromba, Anthony J. 1 2009 Nonlinear problems in mathematical physics and related topics I. In honour of Prof. O. A. Ladyzhenskaya. Zbl 0998.00009Birman, 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 1005.00022Birman, 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 0940.49024Hildebrandt, Stefan; Sauvigny, Friedrich 1 1999 Minimal surfaces in a wedge. IV: Hölder estimates of the Gauss map and a Bernstein theorem. Zbl 0957.49025Hildebrandt, Stefan; Sauvigny, Friedrich 1 1999 Boundary value problems for minimal surfaces. Zbl 0890.53002Hildebrandt, Stefan 1 1997 Minimal surfaces in a wedge. I: Asymptotic expansions. Zbl 0920.49024Hildebrandt, Stefan; Sauvigny, Friedrich 1 1997 On Hölder’s transformation. Zbl 0835.49020Hildebrandt, Stefan 1 1994 Partial differential equations and calculus of variations. Zbl 0813.35001Bemelmans, Josef; Hildebrandt, Stefan; von Wahl, Wolf 1 1990 The calculus of variations today (translated by A. Shenitzer). Zbl 0689.49003Hildebrandt, Stefan 1 1989 Free boundary problems for minimal surfaces and related questions. Zbl 0601.58021Hildebrandt, Stefan 1 1986 Some recent contributions to Plateau’s problem. Zbl 0221.53060Hildebrandt, S. 1 1971 Über die alternierenden Verfahren von H.A. Schwarz und C. Neumann. Zbl 0165.12401Hildebrandt, S. 1 1968 Zur Konvergenz von Operatorprodukten im Hilbertraum. Zbl 0164.44003Hildebrandt, S.; Schmidt, B. 1 1968 Minimal surfaces. With assistance and contributions by A. Küster and R. Jakob. 2nd revised and enlarged ed. Zbl 1213.53002Dierkes, Ulrich; Hildebrandt, Stefan; Sauvigny, Friedrich 55 2010 Regularity of minimal surfaces. With assistance and contributions by A. Küster. 2nd revised and enlarged ed. Zbl 1213.53003Dierkes, Ulrich; Hildebrandt, Stefan; Tromba, Anthony J. 29 2010 Global analysis of minimal surfaces. 2nd revised and enlarged ed. Zbl 1213.53013Dierkes, Ulrich; Hildebrandt, Stefan; Tromba, Anthony J. 20 2010 Relative minimizers of energy are relative minimizers of area. Zbl 1211.49050Hildebrandt, Stefan; Sauvigny, Friedrich 1 2010 Conformal mapping of multiply connected Riemann domains by a variational approach. Zbl 1175.30012Hildebrandt, 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 1181.35086Hildebrandt, Stefan; Sauvigny, Friedrich 2 2009 On the branch point index of minimal surfaces. Zbl 1181.49040Hildebrandt, Stefan; Tromba, Anthony J. 1 2009 Conformal representation of surfaces, and Plateau’s problem for Cartan functionals. Zbl 1107.49015Hildebrandt, Stefan; von der Mosel, Heiko 8 2005 On Lichtenstein’s theorem about globally conformal mappings. Zbl 1079.49028Hildebrandt, Stefan; von der Mosel, Heiko 6 2005 On Dirichlet’s principle and Poincaré’s méthode de balayage. Zbl 1157.35340Hildebrandt, Stefan 4 2005 Plateau’s problem for parametric double integrals. I: Existence and regularity in the interior. Zbl 1031.49038Hildebrandt, Stefan; von der Mosel, Heiko 9 2003 Analysis 2. Zbl 1112.26001Hildebrandt, Stefan 7 2003 Plateau’s problem for parametric double integrals. II: Regularity at the boundary. Zbl 1033.49046Hildebrandt, Stefan; von der Mosel, Heiko 6 2003 Dominance functions for parametric Lagrangians. Zbl 1259.49024Hildebrandt, Stefan; von der Mosel, Heiko 4 2003 Geometric analysis and nonlinear partial differential equations. Zbl 1007.00073Hildebrandt, Stefan (ed.); Karcher, Hermann (ed.) 2 2003 Nonlinear problems in mathematical physics and related topics I. In honor of Professor O. A. Ladyzhenskaya. Zbl 0998.00008Birman, 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 1055.49024Hildebrandt, Stefan; von der Mosel, Heiko 2 2002 Analysis 1. Zbl 1057.26001Hildebrandt, Stefan 2 2002 Nonlinear problems in mathematical physics and related topics I. In honour of Prof. O. A. Ladyzhenskaya. Zbl 0998.00009Birman, 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 1005.00022Birman, Michael Sh. (ed.); Hildebrandt, Stefan (ed.); Solonnikov, Vsevolod A. (ed.); Uraltseva, Nina N. (ed.) 1 2002 On two-dimensional parametric variational problems. Zbl 0934.49022Hildebrandt, Stefan; von der Mosel, Heiko 13 1999 Minimal surfaces in a wedge. III: Existence of graph solutions and some uniqueness results. Zbl 0940.49024Hildebrandt, Stefan; Sauvigny, Friedrich 1 1999 Minimal surfaces in a wedge. IV: Hölder estimates of the Gauss map and a Bernstein theorem. Zbl 0957.49025Hildebrandt, Stefan; Sauvigny, Friedrich 1 1999 One-dimensional variational problems. An introduction. Zbl 0915.49001Buttazzo, Giuseppe; Giaquinta, Mariano; Hildebrandt, Stefan 107 1998 Minimal surfaces in a wedge. II: The edge-creeping phenomenon. Zbl 0920.49025Hildebrandt, Stefan; Sauvigny, Friedrich 2 1997 Boundary value problems for minimal surfaces. Zbl 0890.53002Hildebrandt, Stefan 1 1997 Minimal surfaces in a wedge. I: Asymptotic expansions. Zbl 0920.49024Hildebrandt, Stefan; Sauvigny, Friedrich 1 1997 Calculus of variations 1. The Lagrangian formalism. Zbl 0853.49001Giaquinta, Mariano; Hildebrandt, Stefan 95 1996 Calculus of variations 2. The Hamiltonian formalism. Zbl 0853.49002Giaquinta, Mariano; Hildebrandt, Stefan 29 1996 The Parsimonious universe. Shape and form in the natural world. Zbl 0860.01002Hildebrandt, Stephan; Tromba, Anthony 13 1996 The Parsimonious universe. Shape and form in the natural world. Transl. from the Engl. by Stefan Hildebrandt. Zbl 0860.01004Hildebrandt, Stefan; Tromba, Anthony 9 1996 Uniqueness of stable minimal surfaces with partially free boundaries. Zbl 0831.53006Hildebrandt, Stefan; Sauvigny, Friedrich 3 1995 Contact transformations, Huygen’s principle, and calculus of variations. Zbl 0809.35010Hildebrandt, Stefan 2 1994 On Hölder’s transformation. Zbl 0835.49020Hildebrandt, Stefan 1 1994 Minimal surfaces I. Boundary value problems. Zbl 0777.53012Dierkes, Ulrich; Hildebrandt, Stefan; Küster, Albrecht; Wohlrab, Ortwin 71 1992 Minimal surfaces II. Boundary regularity. Zbl 0777.53013Dierkes, Ulrich; Hildebrandt, Stefan; Küster, Albrecht; Wohlrab, Ortwin 47 1992 On one-to-one harmonic mappings and minimal surfaces. Zbl 0794.35050Hildebrandt, Stefan; Sauvigny, Friedrich 4 1992 Embeddedness and uniqueness of minimal surfaces solving a partially free boundary value problem. Zbl 0729.53014Hildebrandt, S.; Sauvigny, Friedrich 11 1991 Partial differential equations and calculus of variations. Zbl 0813.35001Bemelmans, Josef; Hildebrandt, Stefan; von Wahl, Wolf 1 1990 The calculus of variations today (translated by A. Shenitzer). Zbl 0689.49003Hildebrandt, Stefan 1 1989 On the analyticity of minimal surfaces at movable boundaries of prescribed length. Zbl 0617.53010Dierkes, U.; Hildebrandt, S.; Lewy, H. 5 1987 Regularity for stationary surfaces of constant mean curvature with free boundaries. Zbl 0609.49027Grüter, M.; Hildebrandt, S.; Nitsche, J. C. C. 12 1986 Boundary configurations spanning continua of minimal surfaces. Zbl 0589.53008Gulliver, Robert; Hildebrandt, Stefan 7 1986 Free boundary problems for minimal surfaces and related questions. Zbl 0601.58021Hildebrandt, Stefan 1 1986 Harmonic mappings of Riemannian manifolds. Zbl 0581.58011Hildebrandt, Stefan 12 1985 Geometric properties of minimal surfaces with free boundaries. Zbl 0505.49020Hildebrandt, Stefan; Nitsche, Johannes C. C. 5 1983 Quasilinear elliptic systems in diagonal form. Zbl 0533.35026Hildebrandt, S. 4 1983 A priori estimates for harmonic mappings. Zbl 0508.58015Giaquinta, Mariano; Hildebrandt, Stefan 24 1982 Liouville theorems for harmonic mappings, and an approach to Bernstein theorems. Zbl 0505.58014Hildebrandt, S. 14 1982 Nonlinear elliptic systems and harmonic mappings. Zbl 0515.58012Hildebrandt, Stefan 12 1982 A uniqueness theorem for surfaces of least area with partially free boundaries on obstacles. Zbl 0506.49017Hildebrandt, Stefan; Nitsche, Johannes C. C. 12 1982 Liouville theorems for harmonic mappings, and an approach to Bernstein theorems. Zbl 0478.53030Hildebrandt, Stefan 2 1982 On the boundary behavior of minimal surfaces with a free boundary which are not minima of the area. Zbl 0483.49037Grueter, Michael; Hildebrandt, Stefan; Nitsche, Johannes C. C. 18 1981 Optimal boundary regularity for minimal surfaces with a free boundary. Zbl 0465.49029Hildebrandt, Stefan; Nitsche, Johannes C. C. 11 1981 Estimation à priori des solutions faibles de certains systèmes non linéaires elliptiques. Zbl 0486.35030Giaquinta, M.; Hildebrandt, S. 3 1981 Harmonic mappings and minimal submanifolds. Zbl 0446.58006Hildebrandt, S.; Jost, J.; Widman, K.-O. 58 1980 The two-dimensional analogue of the catenary. Zbl 0483.49038Boehme, Reinhold; Hildebrandt, Stefan; Tausch, Engelbert 13 1980 Minimal surfaces with free boundaries. Zbl 0444.49035Hildebrandt, S.; Nitsche, J. C. C. 21 1979 Variational inequalities for vectorvalued functions. Zbl 0408.49012Hildebrandt, S.; Widman, K.-O. 19 1979 Sätze vom Liouvilleschen Typ für quasilineare elliptische Gleichungen und Systeme. Zbl 0426.35037Hildebrandt, Stefan; Widman, Kjell-Ove 11 1979 On variational problems with obstacles and integral constraints for vector-valued functions. Zbl 0432.35002Hildebrandt, Stefan; Meier, Michael 4 1979 Mathematical aspects of ’t Hooft’s eigenvalue problem in two-dimensional quantum chromodynamics. Part III. Zbl 0446.45007Hildebrandt, Stefan; Visnjic-Triantafillou, Vladimir 2 1979 Mathematical aspects of ’t Hooft’s eigenvalue problem in two-dimensional quantum chromodynamics. Zbl 0412.45008Hildebrandt, 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 0375.45004Hildebrandt, Stefan 5 1978 An existence theorem for harmonic mappings of Riemannian manifolds. Zbl 0356.53015HIldebrandt, Stefan; Kaul, Helmut; Widman, Kjell-Ove 133 1977 On the Hölder continuity of weak solutions of quasilinear elliptic systems of second order. Zbl 0353.35013Hildebrandt, Stefan; Widman, Kjell-ove 52 1977 Harmonic mappings into Riemannian manifolds with non-positive sectional curvature. Zbl 0321.53036Hildebrandt, Stefan; Kaul, Helmut; Widman, Kjell-Ove 10 1976 Dirichlet’s boundary value problem for harmonic mappings of Riemannian manifolds. Zbl 0313.31015Hildebrandt, Stefan; Kaul, Helmut; Widman, Kjell-Ove 3 1976 Some regularity results for quasilinear elliptic systems of second order. Zbl 0317.35040Hildebrandt, Stefan; Widman, Kjell-Ove 65 1975 Variational problems with obstacles and a volume constraint. Zbl 0284.49017Hildebrandt, S.; Wente, H. C. 11 1973 Interior \(C^{1+ \alpha}\)-regularity of solutions of two-dimensional variational problems with obstacles. Zbl 0275.49007Hildebrandt, Stefan 6 1973 Two-dimensional variational problems with obstructions, and Plateau’s problem for H-surfaces in a Riemannian manifold. Zbl 0245.53006Hildebrandt, Stefan; Kaul, Helmut 43 1972 Maximum principles for minimal surfaces and for surfaces of continuous mean curvature. Zbl 0253.53005Hildebrandt, Stefan 23 1972 On the regularity of solutions of two-dimensional variational problems with obstructions. Zbl 0239.49024Hildebrandt, Stefan 3 1972 Ein einfacher Beweis für die Regularität der Lösungen gewisser zweidimensionaler Variationsprobleme unter freien Randbedingungen. Zbl 0213.38404Hildebrandt, S. 6 1971 Über einen neuen Existenzsatz für Flächen vorgeschriebener mittlerer Krümmung. Zbl 0202.20501Hildebrandt, S. 3 1971 Some recent contributions to Plateau’s problem. Zbl 0221.53060Hildebrandt, S. 1 1971 On the Plateau problem for surfaces of constant mean curvature. Zbl 0181.38703Hildebrandt, S. 61 1970 The number of branch points of surfaces of bounded mean curvature. Zbl 0195.23003Heinz, Erhard; Hildebrandt, Stefan 28 1970 Some remarks on minimal surfaces in Riemannian manifolds. Zbl 0188.42102Heinz, Erhard; Hildebrandt, S. 26 1970 Zum Randverhalten der Lösungen gewisser zweidimensionaler Variationsprobleme mit freien Randbedingungen. Zbl 0202.20502Goldhorn, K.; Hildebrandt, S. 10 1970 On the regularity of surfaces with prescribed man curvature at a free boundary. Zbl 0204.11504Hildebrandt, 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 0225.49039Hildebrandt, Stefan 8 1970 Einige Bemerkungen über Flächen beschränkter mittlerer Krümmung. (Some remarks about surfaces of bounded mean curvature). Zbl 0185.50201Hildebrandt, S. 6 1970 Boundary behavior of minimal surfaces. Zbl 0183.39402Hildebrandt, S. 47 1969 Über Flächen konstanter mittlerer Krümmung. Zbl 0183.39501Hildebrandt, S. 25 1969 Randwertprobleme für Flächen mit vorgeschriebener mittlerer Krümmung und Anwendungen auf die Kapillaritätstheorie. I: Fest vorgegebener Rand. Zbl 0175.40403Hildebrandt, S. 20 1969 Über die alternierenden Verfahren von H.A. Schwarz und C. Neumann. Zbl 0165.12401Hildebrandt, S. 1 1968 Zur Konvergenz von Operatorprodukten im Hilbertraum. Zbl 0164.44003Hildebrandt, S.; Schmidt, B. 1 1968 Über die Lösung nichtlinearer Eigenwertaufgaben mit dem Galerkinverfahren. Zbl 0155.46402Hildebrandt, S. 9 1967 Über Minimalflächen mit freiem Rand. Zbl 0158.39902Hildebrandt, S. 7 1967 Über den numerischen Wertebereich eines Operators. Zbl 0138.39101Hildebrandt, S. 56 1966 Über das Randverhalten von Minimalflächen. Zbl 0138.42302Hildebrandt, S. 13 1966 Numerischer Wertebereich und normale Dilatationen. Zbl 0131.12802Hildebrandt, S. 2 1965 Constructive proofs of representation theorems in separable Hilbert space. Zbl 0131.13401Hildebrandt, S.; Wienholtz, E. 38 1964 The closure of the numerical range of an operator as spectral set. Zbl 0134.11901Hildebrandt, S. 8 1964 Einige konstruktive Methoden bei Randwertaufgaben für lineare partielle Differentialgleichungssysteme und in der Theorie harmonischer Differentialformen. I. Zbl 0116.30002Hildebrandt, S. 3 1963 Rand- und Eigenwertaufgaben bei stark elliptischen Systemen linearer Differentialgleichungen. Zbl 0114.05404Hildebrandt, S. 8 1962 Über die Identität der Sobolewschen und der Calkin-Morreyschen Räume. Zbl 0117.33302Hildebrandt, S. 2 1962 all cited Publications top 5 cited Publications 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 Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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