@incollection{Sauvigny, author = {Sauvigny, Friedrich}, title = {Global C hoch (2+alpha)- estimates for conformal maps}, series = {Geometric analysis and nonlinear partial differential equations}, booktitle = {Geometric analysis and nonlinear partial differential equations}, edition = {1. Auflage}, publisher = {Springer}, address = {Berlin [u.a.]}, isbn = {978-3-540-44051-2}, pages = {105 -- 115}, language = {en} } @article{Froehlich, author = {Fr{\"o}hlich, Steffen}, title = {Curvature estimates for \$\mu\$-stable G-minimal surfaces and theorems of Bernstein type}, language = {en} } @misc{Mueller, author = {M{\"u}ller, Frank}, title = {On the analytic continuation of \$H\$-surfaces across the free boundary}, series = {Analysis}, volume = {22}, journal = {Analysis}, number = {2}, issn = {0174-4747}, pages = {201 -- 218}, language = {en} } @misc{Mueller, author = {M{\"u}ller, Frank}, title = {On the continuation of solutions for elliptic equations in two variables}, series = {Analyse Non Linaire}, volume = {19}, journal = {Analyse Non Linaire}, number = {6}, issn = {0294-1449}, pages = {745 -- 776}, language = {en} } @misc{Mueller, author = {M{\"u}ller, Frank}, title = {Analyticity of solutions for semilinear elliptic systems}, series = {Calculus of Variations and Partial Differential Equations}, volume = {15}, journal = {Calculus of Variations and Partial Differential Equations}, issn = {0944-2669}, pages = {257 -- 288}, language = {en} } @phdthesis{Froehlich, author = {Fr{\"o}hlich, Steffen}, title = {Kr{\"u}mmungsabsch{\"a}tzungen f{\"u}r ยต-stabile G-Minimalfl{\"a}chen}, pages = {V, 56 S.}, language = {de} } @phdthesis{Mueller, author = {M{\"u}ller, Frank}, title = {{\"U}ber die Fortsetzung von L{\"o}sungen elliptischer Differentialgleichungen in zwei Ver{\"a}nderlichen}, language = {de} } @book{Sauvigny, author = {Sauvigny, Friedrich}, title = {Partielle Differentialgleichungen der Geometrie und der Physik 1 - Grundlagen und Integraldarstellungen : unter Ber{\"u}cksichtigung der Vorlesungen von E. Heinz}, publisher = {Springer}, address = {Berlin [u.a.]}, isbn = {3-540-20453-9}, pages = {XII, 417}, abstract = {Dieses zweib{\"a}ndige Lehrbuch stellt das Gesamtgebiet der partiellen Differentialgleichungen - vom elliptischen, parabolischen und hyperbolischen Typ - in zwei und mehreren Ver{\"a}nderlichen vor. In diesem Band werden die Differentialgleichungen mit Integraldarstellungen behandelt, w{\"a}hrend im n{\"a}chsten Band funktionalanalytische L{\"o}sungsmethoden vorgestellt werden.}, language = {de} } @book{Sauvigny, author = {Sauvigny, Friedrich}, title = {Partielle Differentialgleichungen der Geometrie und der Physik 2 - Funktionalanalytische L{\"o}sungsmethoden : unter Ber{\"u}cksichtigung der Vorlesungen von E. Heinz}, publisher = {Springer}, address = {Berlin [u.a.]}, isbn = {3-540-23107-2}, pages = {XII, 350}, abstract = {Dieses zweib{\"a}ndige Lehrbuch stellt das Gesamtgebiet der partiellen Differentialgleichungen - vom elliptischen, parabolischen und hyperbolischen Typ - in zwei und mehreren Ver{\"a}nderlichen vor.W{\"a}hrend im ersten Band Integraldarstellungen im Mittelpunkt standen, werden in diesem Band funktionalanalytische L{\"o}sungsmethoden vorgestellt.}, language = {de} } @techreport{MuellerWinklmann, author = {M{\"u}ller, Frank and Winklmann, Sven}, title = {Projectability and uniqueness of F-stable immersions with partially free boundaries}, publisher = {BTU, Institut f{\"u}r Mathematik}, address = {Cottbus}, pages = {18 S.}, language = {de} } @article{Mueller, author = {M{\"u}ller, Frank}, title = {H{\"o}lder continuity of surfaces with prescribed mean curvature at corners where Plateau boundaries meet free boundaries}, language = {en} } @article{Mueller, author = {M{\"u}ller, Frank}, title = {On stable surfaces of prescribed mean curvature with partially free boundaries}, language = {en} } @article{Sauvigny, author = {Sauvigny, Friedrich}, title = {{\"U}ber nichtlineare elliptische Differentialgleichungssysteme}, language = {de} } @article{Sauvigny, author = {Sauvigny, Friedrich}, title = {Deformation of boundary value problems for surfaces with prescribed mean curvature}, language = {en} } @article{Sauvigny, author = {Sauvigny, Friedrich}, title = {Introduction of isothermal parameters into a Riemannian metric by the continuity method}, language = {en} } @article{SauvignyHildebrandt, author = {Sauvigny, Friedrich and Hildebrandt, Stefan}, title = {Minimal surfaces in a wedge III. Existence of graph solutions and some uniqueness results}, language = {en} } @misc{SauvignyHildebrandt, author = {Sauvigny, Friedrich and Hildebrandt, Stefan}, title = {Minimal surfaces in a wedge IV. H{\"o}lder estimates of the Gauss map and a Bernstein theorem}, series = {Calculus of Variations and Partial Differential Equations}, volume = {8}, journal = {Calculus of Variations and Partial Differential Equations}, number = {1}, issn = {0944-2669}, pages = {71 -- 90}, language = {en} } @article{SauvignyHildebrandt, author = {Sauvigny, Friedrich and Hildebrandt, Stefan}, title = {Minimal surfaces in a wedge II. The edge-creeping phenomenon}, language = {en} } @article{SauvignyHildebrandt, author = {Sauvigny, Friedrich and Hildebrandt, Stefan}, title = {Minimal surfaces in a wedge I. Asymptotic expansions}, language = {en} } @book{Sauvigny, author = {Sauvigny, Friedrich}, title = {Partial Differential Equations 1 - Foundations and Integral Representations}, publisher = {Springer}, address = {Berlin [u.a.]}, isbn = {3-540-34457-8}, pages = {XIV, 437}, abstract = {Integration and differentiation on manifolds, Functional analytic foundations, Brouwer's degree of mapping, Generalized analytic functions, Potential theory and spherical harmonics, Linear partial differential equations}, language = {en} } @book{Sauvigny, author = {Sauvigny, Friedrich}, title = {Partial Differential Equations 2 - Functional Analytic Methods}, publisher = {World Publishing Corporation Beijing Company}, address = {Beijing, China}, isbn = {978-7-5100-3516-6}, language = {en} } @misc{SauvignyHildebrandt, author = {Sauvigny, Friedrich and Hildebrandt, Stefan}, title = {Relative minimizers of energy are relative minimizers of area}, language = {en} } @book{SauvignyDierkesHildebrandt, author = {Sauvigny, Friedrich and Dierkes, Ulrich and Hildebrandt, Stefan}, title = {Minimal Surfaces}, edition = {2. rev. ed}, publisher = {Springer}, address = {Berlin}, isbn = {978-3-642-11715-2}, language = {en} } @misc{Sauvigny, author = {Sauvigny, Friedrich}, title = {Un probl{\`e}me aux limites mixte des surfaces minimales avec une multiple projection plane et le dessin optimal des escaliers tournants}, language = {fr} } @misc{SauvignySchulzStroehmeretal., author = {Sauvigny, Friedrich and Schulz, Friedmar and Str{\"o}hmer, Gerhard and Friedrich, Tomi}, title = {Professor Heinz on the occasion of his 85th birthday}, language = {en} } @misc{SauvignyHildebrandt, author = {Sauvigny, Friedrich and Hildebrandt, Stefan}, title = {An energy estimate for the difference of solutions for the n-dimensional solution with prescribed mean curvature and removable singularities}, language = {en} } @misc{Sauvigny, author = {Sauvigny, Friedrich}, title = {Mixed Boundary Value Problems for Minimal Graphs on a Riemann Surface and Winding Staircases}, language = {en} } @book{Sauvigny, author = {Sauvigny, Friedrich}, title = {Partial Differential Equations 1 - Foundations and Integral Representations}, publisher = {World Publishing Corporation Beijing Company}, address = {Beijing, China}, isbn = {978-7-5100-3517-3}, language = {en} } @book{Sauvigny, author = {Sauvigny, Friedrich}, title = {Partial Differential Equations 2 - Functional Analytic Methods}, publisher = {Springer}, address = {Berlin [u.a.]}, isbn = {3-540-34461-6}, pages = {XIV, 388}, language = {en} } @book{Sauvigny, author = {Sauvigny, Friedrich}, title = {Partial Differential Equations 1 - Foundations and Integral Representations}, edition = {2. ed.}, publisher = {Springer}, address = {London}, isbn = {978-1-4471-2980-6}, pages = {XV, 447}, language = {en} } @book{Sauvigny, author = {Sauvigny, Friedrich}, title = {Partial Differential Equations 2 - Functional Analytic Methods}, edition = {2. ed.}, publisher = {Springer}, address = {London}, isbn = {978-1-447-12983-7}, pages = {XVI, 453}, language = {en} } @phdthesis{Sauvigny, author = {Sauvigny, Friedrich}, title = {Fl{\"a}chen vorgeschriebener mittlerer Kr{\"u}mmung mit eineindeutiger Projektion auf eine Ebene}, pages = {62}, abstract = {Dissertation an der Mathematisch-Naturwissenschaftlichen Fakult{\"a}t der Georg-August-Universit{\"a}t G{\"o}ttingen.}, language = {de} } @misc{Sauvigny, author = {Sauvigny, Friedrich}, title = {Fl{\"a}chen vorgeschriebener mittlerer Kr{\"u}mmung mit eineindeutiger Projektion auf eine Ebene}, series = {Mathematische Zeitschrift}, volume = {180}, journal = {Mathematische Zeitschrift}, number = {1}, issn = {0025-5874}, pages = {41 -- 67}, language = {de} } @misc{Sauvigny, author = {Sauvigny, Friedrich}, title = {On the total number of branch points of quasi-minimal surfaces bounded by a polygon}, series = {Analysis}, volume = {8}, journal = {Analysis}, issn = {0174-4747}, pages = {297 -- 304}, language = {en} } @phdthesis{Sauvigny, author = {Sauvigny, Friedrich}, title = {A-Priori-Absch{\"a}tzungen der Hauptkr{\"u}mmungen f{\"u}r Immersionen vom Mittleren-Kr{\"u}mmungs-Typ mittels Uniformisierung und S{\"a}tze vom Bernstein-Typ}, pages = {78}, abstract = {Habilitationsschrift am Fachbereich Mathematik an der Georg-August-Universit{\"a}t G{\"o}ttingen.}, language = {de} } @misc{Sauvigny, author = {Sauvigny, Friedrich}, title = {On immersions of constant mean curvature: Compactness results and finiteness theorems for Plateau's problem}, series = {Archive for Rational Mechanics and Analysis}, volume = {110}, journal = {Archive for Rational Mechanics and Analysis}, number = {2}, issn = {0003-9527}, pages = {125 -- 140}, language = {en} } @misc{Sauvigny, author = {Sauvigny, Friedrich}, title = {Curvature estimates for immersions of minimal surface type via uniformization and theorems of Bernstein type}, series = {Manuscripta Mathematica}, volume = {67}, journal = {Manuscripta Mathematica}, issn = {0025-2611}, pages = {69 -- 97}, language = {en} } @misc{Sauvigny, author = {Sauvigny, Friedrich}, title = {A priori estimates of the principal curvatures for immersions of prescribed mean curvature and theorems of Bernstein type}, series = {Mathematische Zeitschrift}, volume = {205}, journal = {Mathematische Zeitschrift}, number = {1}, issn = {0025-5874}, pages = {567 -- 582}, language = {en} } @misc{SauvignyHildebrandt, author = {Sauvigny, Friedrich and Hildebrandt, Stefan}, title = {Embeddedness and uniqueness of minimal surfaces solving a partially free boundary value problem}, series = {Journal f{\"u}r die reine und angewandte Mathematik}, volume = {422}, journal = {Journal f{\"u}r die reine und angewandte Mathematik}, issn = {0075-4102}, pages = {69 -- 89}, language = {en} } @misc{Sauvigny, author = {Sauvigny, Friedrich}, title = {A new proof of the gradient estimate for graphs of prescribed mean curvature}, series = {Manuscripta mathematica}, volume = {74}, journal = {Manuscripta mathematica}, number = {1}, issn = {0025-2611}, pages = {83 -- 86}, language = {en} } @misc{SauvignyHildebrandt, author = {Sauvigny, Friedrich and Hildebrandt, Stefan}, title = {On one-to-one harmonic mappings and minimal surfaces}, series = {Nachrichten der Akademie der Wissenschaften zu G{\"o}ttingen, 2. Mathematisch-Physikalische Klasse}, journal = {Nachrichten der Akademie der Wissenschaften zu G{\"o}ttingen, 2. Mathematisch-Physikalische Klasse}, number = {3}, issn = {0065-5295}, pages = {73 -- 93}, language = {en} } @misc{SauvignyHildebrandt, author = {Sauvigny, Friedrich and Hildebrandt, Stefan}, title = {Uniqueness of stable minimal surfaces with partially free boundaries}, series = {Journal of the Mathematical Society of Japan}, volume = {47}, journal = {Journal of the Mathematical Society of Japan}, number = {3}, issn = {0025-5645}, pages = {423 -- 440}, language = {en} } @phdthesis{Szerement, author = {Szerement, Claudia}, title = {L{\"o}sung des Dirichletproblems f{\"u}r G-minimale Graphen mit einer Kontinuit{\"a}ts- und Approximationsmethode}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:co1-opus-22088}, pages = {129}, language = {de} } @book{Szerement, author = {Szerement, Claudia}, title = {L{\"o}sung des Dirichletproblems f{\"u}r G-minimale Graphen mit einer Kontinuit{\"a}ts- und Approximationsmethode}, publisher = {Shaker-Verlag}, address = {Aachen}, isbn = {978-3-8440-0758-9}, pages = {II, 123}, language = {de} } @phdthesis{Mueller, author = {M{\"u}ller, Frank}, title = {Investigations on the regularity of surfaces with prescribed mean curvature and partially free boundaries}, pages = {108}, language = {en} } @misc{Sauvigny, author = {Sauvigny, Friedrich}, title = {Die zweite Variation von Minimalfl{\"a}chen im R-hoch-p mit polygonalem Rand}, series = {Mathematische Zeitschrift}, volume = {189}, journal = {Mathematische Zeitschrift}, issn = {0025-5874}, pages = {167 -- 184}, language = {de} } @misc{Sauvigny, author = {Sauvigny, Friedrich}, title = {Ein Eindeutigkeitssatz f{\"u}r Minimalfl{\"a}chen im R-hoch-p mit polygonalem Rand}, series = {Journal f{\"u}r die reine und angewandte Mathematik}, volume = {358}, journal = {Journal f{\"u}r die reine und angewandte Mathematik}, issn = {0075-4102}, pages = {92 -- 96}, language = {de} } @misc{Sauvigny, author = {Sauvigny, Friedrich}, title = {On the Morse index of minimal surfaces in R-hoch-p with polygonal boundaries}, series = {Manuscripta Mathematica}, volume = {53}, journal = {Manuscripta Mathematica}, issn = {0025-2611}, pages = {167 -- 197}, language = {en} } @misc{Mueller, author = {M{\"u}ller, Frank}, title = {The asymptotic behaviour of surfaces with prescribed mean curvature near meeting points of fixed and free boundaries}, series = {Annali della Scuola Normale Superiore di Pisa, Classe di Scienze}, volume = {6}, journal = {Annali della Scuola Normale Superiore di Pisa, Classe di Scienze}, number = {4}, issn = {0391-173X}, pages = {529 -- 559}, language = {en} } @misc{Mueller, author = {M{\"u}ller, Frank}, title = {On the regularity of H-surfaces with free boundaries on a smooth support manifold}, series = {Analysis}, volume = {28}, journal = {Analysis}, number = {4}, issn = {0174-4747}, pages = {401 -- 419}, language = {en} }