Edit Profile (opens in new tab) Tomi, Friedrich Compute Distance To: Compute Author ID: tomi.friedrich Published as: Tomi, Friedrich; Tomi, F. External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 44 Publications since 1969, including 3 Books 1 Contribution as Editor Reviewing Activity: 142 Reviews Biographic References: 1 Publication Co-Authors: 19 Co-Authors with 27 Joint Publications 275 Co-Co-Authors all top 5 Co-Authors 18 single-authored 7 Tromba, Anthony Joseph 5 Ripoll, Jaime Bruck 2 Ivochkina, Nina Mikhaĭlovna 2 Kirkilionis, Markus A. 2 Krömker, Susanne 2 Kutev, Nikolai D. 2 Rannacher, Rolf 1 Alt, Hans Wilhelm 1 Böhme, Reinhold 1 Gulliver, Robert D. II 1 Heinz, Erhard 1 Jäger, Willi 1 Jorge, Luquésio P. M. 1 Nehring, Thomas 1 Quien, Norbert 1 Sauvigny, Friedrich 1 Schüffler, Karlheinz 1 Schulz, Friedmar 1 Ströhmer, Gerhard 1 Ye, Rugang all top 5 Serials 12 Mathematische Zeitschrift 3 Archiv der Mathematik 2 Manuscripta Mathematica 2 Memoirs of the American Mathematical Society 2 Pacific Journal of Mathematics 2 Calculus of Variations and Partial Differential Equations 2 Analysis (München) 2 Advances in Calculus of Variations 1 Archive for Rational Mechanics and Analysis 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Nachrichten der Akademie der Wissenschaften in Göttingen. II. Mathematisch-Physikalische Klasse 1 Annals of Global Analysis and Geometry 1 Advances in Mathematics 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Differential and Integral Equations 1 Bulletin of the American Mathematical Society. New Series 1 St. Petersburg Mathematical Journal 1 Ensaios Matemáticos all top 5 Fields 28 Differential geometry (53-XX) 20 Calculus of variations and optimal control; optimization (49-XX) 11 Global analysis, analysis on manifolds (58-XX) 10 Partial differential equations (35-XX) 2 History and biography (01-XX) 1 General and overarching topics; collections (00-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 33 Publications have been cited 267 times in 213 Documents Cited by ▼ Year ▼ Ein einfacher Beweis eines Regularitätssatzes für schwache Lösungen gewisser elliptischer Systeme. Zbl 0177.14704Tomi, F. 44 1969 Zur Struktur der Lösungsmenge des Plateauproblems. Zbl 0273.49061Böhme, Reinhold; Tomi, Friedrich 35 1973 Über semilineare elliptische Differentialgleichungen zweiter Ordnung. Zbl 0179.43602Tomi, F. 26 1969 On the local uniqueness of the problem of least area. Zbl 0277.49016Tomi, Friedrich 17 1973 Extreme curves bound embedded minimal surfaces of the type of the disc. Zbl 0353.53032Tomi, Friedrich; Tromba, Anthony J. 16 1978 Variationsprobleme vom Dirichlet-Typ mit einer Ungleichung als Nebenbedingung. Zbl 0243.49023Tomi, Friedrich 15 1972 Existence theorems for minimal surfaces of nonzero genus spanning a contour. Zbl 0638.58004Tomi, Friedrich; Tromba, Anthony J. 9 1988 On the structure of the set of curves bounding minimal surfaces of prescribed degeneracy. Zbl 0421.58002Tomi, Friedrich; Tromba, Anthony J. 8 1980 Bemerkungen zum Regularitätsproblem der Gleichung vorgeschriebener mittlerer Krümmung. Zbl 0258.35022Tomi, Friedrich 8 1973 Zu einem Satz von S. Hildebrandt über das Randverhalten der Minimalflächen. Zbl 0172.38601Heinz, E.; Tomi, F. 7 1969 The exterior Plateau problem. Zbl 0719.53006Tomi, Friedrich; Ye, Rugang 7 1990 On solutions to the exterior Dirichlet problem for the minimal surface with catenoidal ends. Zbl 1292.35110Ripoll, Jaime; Tomi, Friedrich 6 2014 Existence and nonexistence for the exterior Dirichlet problem for the minimal surface equation in the plane. Zbl 1074.35550Kutev, N.; Tomi, F. 6 1998 A perturbation theorem for surfaces of constant mean curvature. Zbl 0295.53003Tomi, Friedrich 6 1975 The barrier principle for minimal submanifolds of arbitrary codimension. Zbl 1027.53007Jorge, Luquésio P.; Tomi, Friedrich 5 2003 Plateau’s problem for embedded minimal surfaces of the type of the disc. Zbl 0399.53002Tomi, Friedrich 5 1978 On the finite solvability of Plateau’s problem. Zbl 0361.53008Tomi, Friedrich 5 1977 On false branch points of incompressible branched immersions. Zbl 0701.53009Gulliver, Robert; Tomi, Friedrich 4 1989 Über elliptische Differentialgleichungen 4. Ordnung mit einer starken Nichtlinearität. Zbl 0346.35048Tomi, Friedrich 4 1976 Locally convex hypersurfaces of prescribed curvature and boundary. Zbl 0951.53004Ivochkina, Nina M.; Tomi, Friedrich 4 1998 The index theorem for minimal surfaces of higher genus. Zbl 0845.49018Tomi, F.; Tromba, A. J. 3 1995 Maximum principles for minimal surfaces in \(\mathbb{R}^ 3\) having noncompact boundary and a uniqueness theorem for the helicoid. Zbl 0838.53014Ripoll, Jaime; Tomi, Friedrich 3 1995 Evolution of star-shaped hypersurfaces by nonhomogeneous curvature functions. Zbl 1031.53093Ivochkina, N. M.; Nehring, Th.; Tomi, F. 3 2000 Ein teilweise freies Randwertproblem für Flächen vorgeschriebener mittlerer Krümmung. Zbl 0189.11102Tomi, F. 3 1970 On Plateau’s problem for minimal surfaces of higher genus in \(R^ 3\). Zbl 0589.49026Tomi, Friedrich; Tromba, Anthony 3 1985 A finiteness result in the free boundary value problem for minimal surfaces. Zbl 0603.49028Tomi, Friedrich 3 1986 Notes on the Dirichlet problem of a class of second order elliptic partial differential equations on a Riemannian manifold. Zbl 1419.53047Ripoll, Jaime; Tomi, Friedrich 3 2018 Regularity and finiteness of solutions to the free boundary problem for minimal surfaces. Zbl 0549.53006Alt, Hans; Tomi, Friedrich 3 1985 Complete minimal discs in Hadamard manifolds. Zbl 1430.53046Ripoll, Jaime; Tomi, Friedrich 2 2017 Nonexistence and instability in the exterior Dirichlet problem for the minimal surface equation in the plane. Zbl 0849.35033Kutev, N.; Tomi, F. 1 1995 Plateau’s problem for minimal surfaces with a catenoidal end. Zbl 0777.53015Tomi, Friedrich 1 1992 Minimal surfaces and surfaces of prescribed mean curvature spanned over obstacles. Zbl 0198.14802Tomi, F. 1 1971 Trends in nonlinear analysis. On the occasion of the 60th birthday of Willi Jäger. Zbl 1001.00073 1 2003 Notes on the Dirichlet problem of a class of second order elliptic partial differential equations on a Riemannian manifold. Zbl 1419.53047Ripoll, Jaime; Tomi, Friedrich 3 2018 Complete minimal discs in Hadamard manifolds. Zbl 1430.53046Ripoll, Jaime; Tomi, Friedrich 2 2017 On solutions to the exterior Dirichlet problem for the minimal surface with catenoidal ends. Zbl 1292.35110Ripoll, Jaime; Tomi, Friedrich 6 2014 The barrier principle for minimal submanifolds of arbitrary codimension. Zbl 1027.53007Jorge, Luquésio P.; Tomi, Friedrich 5 2003 Trends in nonlinear analysis. On the occasion of the 60th birthday of Willi Jäger. Zbl 1001.00073 1 2003 Evolution of star-shaped hypersurfaces by nonhomogeneous curvature functions. Zbl 1031.53093Ivochkina, N. M.; Nehring, Th.; Tomi, F. 3 2000 Existence and nonexistence for the exterior Dirichlet problem for the minimal surface equation in the plane. Zbl 1074.35550Kutev, N.; Tomi, F. 6 1998 Locally convex hypersurfaces of prescribed curvature and boundary. Zbl 0951.53004Ivochkina, Nina M.; Tomi, Friedrich 4 1998 The index theorem for minimal surfaces of higher genus. Zbl 0845.49018Tomi, F.; Tromba, A. J. 3 1995 Maximum principles for minimal surfaces in \(\mathbb{R}^ 3\) having noncompact boundary and a uniqueness theorem for the helicoid. Zbl 0838.53014Ripoll, Jaime; Tomi, Friedrich 3 1995 Nonexistence and instability in the exterior Dirichlet problem for the minimal surface equation in the plane. Zbl 0849.35033Kutev, N.; Tomi, F. 1 1995 Plateau’s problem for minimal surfaces with a catenoidal end. Zbl 0777.53015Tomi, Friedrich 1 1992 The exterior Plateau problem. Zbl 0719.53006Tomi, Friedrich; Ye, Rugang 7 1990 On false branch points of incompressible branched immersions. Zbl 0701.53009Gulliver, Robert; Tomi, Friedrich 4 1989 Existence theorems for minimal surfaces of nonzero genus spanning a contour. Zbl 0638.58004Tomi, Friedrich; Tromba, Anthony J. 9 1988 A finiteness result in the free boundary value problem for minimal surfaces. Zbl 0603.49028Tomi, Friedrich 3 1986 On Plateau’s problem for minimal surfaces of higher genus in \(R^ 3\). Zbl 0589.49026Tomi, Friedrich; Tromba, Anthony 3 1985 Regularity and finiteness of solutions to the free boundary problem for minimal surfaces. Zbl 0549.53006Alt, Hans; Tomi, Friedrich 3 1985 On the structure of the set of curves bounding minimal surfaces of prescribed degeneracy. Zbl 0421.58002Tomi, Friedrich; Tromba, Anthony J. 8 1980 Extreme curves bound embedded minimal surfaces of the type of the disc. Zbl 0353.53032Tomi, Friedrich; Tromba, Anthony J. 16 1978 Plateau’s problem for embedded minimal surfaces of the type of the disc. Zbl 0399.53002Tomi, Friedrich 5 1978 On the finite solvability of Plateau’s problem. Zbl 0361.53008Tomi, Friedrich 5 1977 Über elliptische Differentialgleichungen 4. Ordnung mit einer starken Nichtlinearität. Zbl 0346.35048Tomi, Friedrich 4 1976 A perturbation theorem for surfaces of constant mean curvature. Zbl 0295.53003Tomi, Friedrich 6 1975 Zur Struktur der Lösungsmenge des Plateauproblems. Zbl 0273.49061Böhme, Reinhold; Tomi, Friedrich 35 1973 On the local uniqueness of the problem of least area. Zbl 0277.49016Tomi, Friedrich 17 1973 Bemerkungen zum Regularitätsproblem der Gleichung vorgeschriebener mittlerer Krümmung. Zbl 0258.35022Tomi, Friedrich 8 1973 Variationsprobleme vom Dirichlet-Typ mit einer Ungleichung als Nebenbedingung. Zbl 0243.49023Tomi, Friedrich 15 1972 Minimal surfaces and surfaces of prescribed mean curvature spanned over obstacles. Zbl 0198.14802Tomi, F. 1 1971 Ein teilweise freies Randwertproblem für Flächen vorgeschriebener mittlerer Krümmung. Zbl 0189.11102Tomi, F. 3 1970 Ein einfacher Beweis eines Regularitätssatzes für schwache Lösungen gewisser elliptischer Systeme. Zbl 0177.14704Tomi, F. 44 1969 Über semilineare elliptische Differentialgleichungen zweiter Ordnung. Zbl 0179.43602Tomi, F. 26 1969 Zu einem Satz von S. Hildebrandt über das Randverhalten der Minimalflächen. Zbl 0172.38601Heinz, E.; Tomi, F. 7 1969 all cited Publications top 5 cited Publications all top 5 Cited by 177 Authors 15 Tomi, Friedrich 13 Hildebrandt, Stefan 8 Lanza de Cristoforis, Massimo 8 Ripoll, Jaime Bruck 7 Musolino, Paolo 7 Schüffler, Karlheinz 7 Tromba, Anthony Joseph 6 Sauvigny, Friedrich 6 von Wahl, Wolf 4 Böhme, Reinhold 4 Coskunuzer, Baris 4 Frehse, Jens 4 Gulliver, Robert D. II 4 Meeks, William Hamilton III 4 Winkler, Michael 3 Aiolfi, Ari J. 3 Castéras, Jean-baptiste 3 Duzaar, Frank 3 Fuchs, Martin 3 Jakob, Ruben 3 Jorge, Luquésio P. M. 3 Jost, Jürgen 3 Kuwert, Ernst Christoph 3 Lancaster, Kirk Eugene 3 Nitsche, Johannes Carl Christian 3 Schikorra, Armin 3 Steffen, Klaus 3 Wenger, Stefan 2 Alt, Hans Wilhelm 2 Amann, Herbert 2 Beeson, Michael J. 2 Bethuel, Fabrice 2 Dalla Riva, Matteo 2 do Espirito-Santo, Nedir 2 Entekhabi, Mozhgan Nora 2 Fitzi, Martin 2 Gornik, Klaus 2 Grüter, Michael 2 Heinz, Erhard 2 Henkemeyer, Patrick 2 Holopainen, Ilkka 2 Jäger, Willi 2 Lin, Fang Hua 2 Musina, Roberta 2 Palagachev, Dian K. 2 Rey, Olivier 2 Scheven, Christoph 2 Schmitt, Klaus 2 Soret, Marc 2 Ströhmer, Gerhard 2 Struwe, Michael 2 Sweers, Guido H. 2 von der Mosel, Heiko 2 Wente, Henry C. 2 White, Brian Cabell 2 Ye, Rugang 1 Abatangelo, Laura 1 Abatangelo, Nicola 1 Abdulhadi, Zayid 1 Abu-Muhanna, Yusuf 1 Acker, Andrew F. 1 Almgren, Frederick Justin jun. 1 Anderson, Michael T. 1 Barbosa, Joan Lucas 1 Baubec, Margarit 1 Bebernes, Jerrold W. 1 Bernstein, Jacob 1 Beyerstedt, Ralf 1 Boccardo, Lucio 1 Bögelein, Verena 1 Bonnaillie-Noël, Virginie 1 Bonorino, Leonardo Prange 1 Büch, Joachim 1 Bustos, Daniel F. 1 Chen, Yunmei 1 Chodosh, Otis 1 Choné, Philippe 1 Cintra, Willian 1 Citti, Giovanna 1 Cosner, Chris 1 Cozzi, Matteo 1 Da Silva Nunes, Giovanni 1 Dierkes, Ulrich 1 do Carmo, Manfredo Perdigão 1 Donato, Patrizia 1 Eells, James jun. 1 Filimonenkova, Nadezhda Viktorovna 1 Fröhlich, Steffen 1 Fusco, Nicola 1 Gerhardt, Claus 1 Goebel, Ralf 1 Goldhorn, Karlheinz 1 Gray, Jeremy John 1 Grunau, Hans-Christoph 1 Harrison, Jenny C. 1 Harth, Fritz Peter 1 Hoffman, David A. 1 Ivochkina, Nina Mikhaĭlovna 1 Jakobowsky, Norbert 1 Ketover, Daniel ...and 77 more Authors all top 5 Cited in 66 Serials 36 Mathematische Zeitschrift 21 Manuscripta Mathematica 11 Archive for Rational Mechanics and Analysis 9 Archiv der Mathematik 9 Mathematische Annalen 7 Calculus of Variations and Partial Differential Equations 6 Transactions of the American Mathematical Society 6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 5 Proceedings of the American Mathematical Society 5 Bulletin of the American Mathematical Society. New Series 5 Analysis (München) 4 Inventiones Mathematicae 4 Journal of Differential Equations 3 Duke Mathematical Journal 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Communications in Partial Differential Equations 3 Bulletin of the American Mathematical Society 3 Complex Variables and Elliptic Equations 3 Nonlinear Analysis. Theory, Methods & Applications 2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Boletim da Sociedade Brasileira de Matemática 2 Journal of Differential Geometry 2 Pacific Journal of Mathematics 2 Proceedings of the Japan Academy. Series A 2 Tôhoku Mathematical Journal. Second Series 2 Annals of Global Analysis and Geometry 2 Journal of Integral Equations and Applications 2 The Journal of Geometric Analysis 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Journal of Mathematical Sciences (New York) 2 Taiwanese Journal of Mathematics 1 Bulletin of the Australian Mathematical Society 1 Computer Methods in Applied Mechanics and Engineering 1 Communications on Pure and Applied Mathematics 1 Israel Journal of Mathematics 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Biology 1 Mathematical Methods in the Applied Sciences 1 Mathematische Semesterberichte 1 Journal of Geometry and Physics 1 Acta Mathematica 1 Advances in Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Geometriae Dedicata 1 Journal für die Reine und Angewandte Mathematik 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Results in Mathematics 1 Ergodic Theory and Dynamical Systems 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 SIAM Journal on Mathematical Analysis 1 Journal of Dynamics and Differential Equations 1 Potential Analysis 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Geometry & Topology 1 Revista Matemática Complutense 1 Communications in Contemporary Mathematics 1 Nonlinear Analysis. Real World Applications 1 Communications on Pure and Applied Analysis 1 Mediterranean Journal of Mathematics 1 Journal of Fixed Point Theory and Applications 1 Discrete and Continuous Dynamical Systems. Series S 1 Advances in Calculus of Variations all top 5 Cited in 25 Fields 106 Differential geometry (53-XX) 93 Calculus of variations and optimal control; optimization (49-XX) 88 Partial differential equations (35-XX) 53 Global analysis, analysis on manifolds (58-XX) 13 Potential theory (31-XX) 9 Operator theory (47-XX) 6 Integral equations (45-XX) 5 Functions of a complex variable (30-XX) 5 Several complex variables and analytic spaces (32-XX) 4 History and biography (01-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Functional analysis (46-XX) 3 Manifolds and cell complexes (57-XX) 2 Real functions (26-XX) 2 Fluid mechanics (76-XX) 2 Biology and other natural sciences (92-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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