Edit Profile Müller, Stefan Compute Distance To: Compute Author ID: muller.stefan.1 Published as: Müller, S.; Müller, Stefan Homepage: http://www.hcm.uni-bonn.de/people/profile/stefan-mueller/ External Links: MGP · Wikidata · dblp · GND Awards: EMS Prize (1992) Documents Indexed: 141 Publications since 1987 all top 5 Co-Authors 20 single-authored 16 Conti, Sergio 11 Dolzmann, Georg 10 DeSimone, Antonio 10 Šverák, Vladimír 9 Mora, Maria Giovanna 8 James, Richard D. 8 Kohn, Robert Vita 7 Otto, Felix 6 Fonseca, Irene 6 Garroni, Adriana 5 Friesecke, Gero 5 Kirchheim, Bernd 5 Struwe, Michael 4 Ortiz, Michael 4 Spector, Scott J. 3 Abels, Helmut 3 Chaudhuri, Nirmalendu 3 De Lellis, Camillo 3 Flucher, Martin 3 Hungerbuhler, Norbert 3 Kienzler, Reinhold 3 McDowell, David L. 3 Palombaro, Mariapia 3 Werner, Ewald A. 2 Ball, John M. 2 Ben Belgacem, Hafedh 2 Freire, Alexandre 2 Geymonat, Giuseppe 2 Kopecká, Eva 2 Lewicka, Marta , Wang, Dehua 2 Maggi, Francesco 2 Müller, Paul F. X. 2 Olbermann, Heiner 2 Pakzad, Mohammad Reza 2 Schweiger, Florian 2 Tang, Qi 2 Triantafyllidis, Nicolas 2 Yan, Baisheng 1 Adams, Stefan 1 Alberti, Giovanni 1 Bourne, David P. 1 Carstensen, Carsten 1 Cotar, Codina 1 Deuschel, Jean-Dominique 1 Dmitrieva, Olga 1 Dondl, Patrick Werner 1 Esteban, Maria J. 1 Evans, Lawrence Craig 1 Faraco, Daniel 1 Francfort, Gilles A. 1 Giuliani, Alessandro 1 Koop, Andreas 1 Kotecký, Roman 1 Kröner, Dietmar 1 Lecumberry, Myriam 1 Lee, Jihoon 1 Leoni, Giovanni 1 Lienstromberg, Christina 1 Mielke, Alexander 1 Neukamm, Stefan 1 Pedregal, Pablo 1 Raabe, Dierk 1 Rieger, Marc Oliver 1 Röger, Matthias 1 Romeo, Mario 1 Scardia, Lucia 1 Schäfer, Rudolf 1 Schlömerkemper, Anja 1 Schmitz, Sven 1 Schroeter, Brian M. 1 Schultz, M. G. 1 Schupp, Bernhard 1 Sivaloganathan, Jeyabal 1 Süli, Endre E. 1 Sychev, Mikhail A. 1 Zeppieri, Caterina Ida all top 5 Serials 15 Archive for Rational Mechanics and Analysis 14 Calculus of Variations and Partial Differential Equations 11 SIAM Journal on Mathematical Analysis 8 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 5 Oberwolfach Reports 4 Communications on Pure and Applied Mathematics 4 Comptes Rendus de l’Académie des Sciences. Série I 3 Indiana University Mathematics Journal 3 Journal of Differential Geometry 3 Journal of Functional Analysis 3 Journal für die Reine und Angewandte Mathematik 3 Communications in Partial Differential Equations 3 Journal of Nonlinear Science 2 Communications in Mathematical Physics 2 Mathematische Zeitschrift 2 Topological Methods in Nonlinear Analysis 2 Journal of the European Mathematical Society (JEMS) 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Mathematical Analysis and Applications 1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV) 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Inventiones Mathematicae 1 Journal of Differential Equations 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Meccanica 1 Numerische Mathematik 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 SIAM Journal on Numerical Analysis 1 Transactions of the American Mathematical Society 1 Revista Matemática Iberoamericana 1 Journal of the American Mathematical Society 1 IMRN. International Mathematics Research Notices 1 The Journal of Geometric Analysis 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 Bulletin of the American Mathematical Society. New Series 1 Continuum Mechanics and Thermodynamics 1 Tatra Mountains Mathematical Publications 1 NoDEA. Nonlinear Differential Equations and Applications 1 Documenta Mathematica 1 Vietnam Journal of Mathematics 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Annals of Mathematics. Second Series 1 Multiscale Modeling & Simulation 1 GAMM-Mitteilungen 1 Bollettino dell’Unione Matematica Italiana all top 5 Fields 75 Mechanics of deformable solids (74-XX) 55 Partial differential equations (35-XX) 52 Calculus of variations and optimal control; optimization (49-XX) 16 Statistical mechanics, structure of matter (82-XX) 11 Functional analysis (46-XX) 8 Real functions (26-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 General and overarching topics; collections (00-XX) 6 Differential geometry (53-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Ordinary differential equations (34-XX) 4 Numerical analysis (65-XX) 4 Fluid mechanics (76-XX) 3 Convex and discrete geometry (52-XX) 2 Potential theory (31-XX) 2 Operator theory (47-XX) 2 Probability theory and stochastic processes (60-XX) 2 Optics, electromagnetic theory (78-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Geometry (51-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 128 Publications have been cited 3,433 times in 1,986 Documents Cited by ▼ Year ▼ A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity. Zbl 1021.74024Friesecke, Gero; James, Richard D.; Müller, Stefan 275 2002 A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence. Zbl 1100.74039Friesecke, Gero; James, Richard D.; Müller, Stefan 168 2006 Homogenization of nonconvex integral functionals and cellular elastic materials. Zbl 0629.73009Müller, Stefan 112 1987 Variational models for microstructure and phase transitions. Zbl 0968.74050Müller, Stefan 108 1999 \(\mathcal A\)-quasiconvexity, lower semicontinuity, and Young measures. Zbl 0940.49014Fonseca, Irene; Müller, Stefan 102 1999 Homogenization of nonlinearly elastic materials, microscopic bifurcation and macroscopic loss of rank-one convexity. Zbl 0801.73008Geymonat, Giuseppe; Müller, Stefan; Triantafyllidis, Nicolas 97 1993 Convex integration for Lipschitz mappings and counterexamples to regularity. Zbl 1083.35032Müller, S.; Šverák, V. 87 2003 An existence theory for nonlinear elasticity that allows for cavitation. Zbl 0836.73025Müller, Stefan; Spector, Scott J. 84 1995 Surface energy and microstructure in coherent phase transitions. Zbl 0803.49007Kohn, Robert V.; Müller, Stefan 84 1994 Higher integrability of determinants and weak convergence in \(L^ 1\). Zbl 0713.49004Müller, Stefan 74 1990 Derivation of nonlinear bending theory for shells from three-dimensional nonlinear elasticity by Gamma-convergence. Zbl 1140.74481Friesecke, Gero; James, Richard D.; Mora, Maria Giovanna; Müller, Stefan 70 2003 Analysis of concentration and oscillation effects generated by gradients. Zbl 0920.49009Fonseca, Irene; Müller, Stefan; Pedregal, Pablo 69 1998 A uniqueness proof for the Wulff theorem. Zbl 0752.49019Fonseca, Irene; Müller, Stefan 68 1991 Quasi-convex integrands and lower semicontinuity in \(L^ 1\). Zbl 0764.49012Fonseca, Irene; Müller, Stefan 64 1992 Singular perturbations as a selection criterion for periodic minimizing sequences. Zbl 0821.49015Müller, Stefan 63 1993 Relaxation of quasiconvex functionals in \(BV(\Omega, \mathbb{R}^ N)\) for integrands \(f(x, u, \bigtriangledown u)\). Zbl 0788.49039Fonseca, Irene; Müller, Stefan 62 1993 A reduced theory for thin-film micromagnetics. Zbl 1027.82042DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix 59 2002 On a new class of elastic deformations not allowing for cavitation. Zbl 0863.49002Müller, S.; Qi, Tang; Yan, B. S. 59 1994 \(\Gamma\)-limit of a phase-field model of dislocations. Zbl 1094.82008Garroni, A.; Müller, S. 52 2005 Convex integration with constraints and applications to phase transitions and partial differential equations. Zbl 0953.35042Müller, S.; Šverák, V. 51 1999 Uniqueness and maximal regularity for nonlinear elliptic systems of \(n\)-Laplace type with measure valued right hand side. Zbl 0937.35065Dolzmann, Georg; Hungerbühler, Norbert; Müller, Stefan 49 2000 A variational model for dislocations in the line tension limit. Zbl 1158.74365Garroni, Adriana; Müller, Stefan 47 2006 Derivation of the nonlinear bending-torsion theory for inextensible rods by \(\Gamma\)-convergence. Zbl 1053.74027Mora, Maria Giovanna; Müller, Stefan 44 2003 A compactness result in the gradient theory of phase transitions. Zbl 0986.49009DeSimone, Antonio; Müller, Stefan; Kohn, Robert V.; Otto, Felix 43 2001 Attainment results for the two-well problem by convex integration. Zbl 0930.35038Müller, Stefan; Šverák, Vladimir 41 1996 Microstructures with finite surface energy: The two-well problem. Zbl 0846.73054Dolzmann, Georg; Müller, Stefan 40 1995 Det\(=\det\). A remark on the distributional determinant. Zbl 0717.46033Müller, Stefan 40 1990 Recent analytical developments in micromagnetics. Zbl 1151.35426DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix 39 2006 Studying nonlinear PDE by geometry in matrix space. Zbl 1290.35097Kirchheim, Bernd; Müller, Stefan; Šverák, Vladimír 37 2003 A new approach to variational problems with multiple scales. Zbl 1021.49012Alberti, Giovanni; Müller, Stefan 36 2001 Estimates for Green’s matrices of elliptic systems by \(L^ p\) theory. Zbl 0846.35040Dolzmann, G.; Müller, S. 36 1995 On surfaces of finite total curvature. Zbl 0853.53003Müller, S.; Šverák, V. 35 1995 Optimal rigidity estimates for nearly umbilical surfaces. Zbl 1087.53004de Lellis, Camillo; Müller, Stefan 34 2005 Lower semicontinuity and existence of minimizers in incremental finite-strain elastoplasticity. Zbl 1102.74006Mielke, Alexander; Müller, Stefan 32 2006 Energy scaling of compressed elastic films – three-dimensional elasticity and reduced theories. Zbl 1041.74048Ben Belgacem, Hafedh; Conti, Sergio; DeSimone, Antonio; Müller, Stefan 32 2002 Optimal existence theorems for nonhomogeneous differential inclusions. Zbl 0989.49012Müller, S.; Sychev, M. A. 31 2001 Rigorous derivation of nonlinear plate theory and geometric rigidity. Zbl 1012.74043Friesecke, Gero; Müller, Stefan; James, Richard D. 29 2002 Nonlinear elliptic systems with measure-valued right hand side. Zbl 0895.35029Dolzmann, Georg; Hungerbühler, Norbert; Müller, Stefan 29 1997 Hardy spaces and the two-dimensional Euler equations with nonnegative vorticity. Zbl 0802.35120Evans, L. C.; Müller, S. 29 1994 Rigourous bounds for the Föppl-von Kármán theory of isotropically compressed plates. Zbl 1015.74029Ben Belgacem, H.; Conti, S.; DeSimone, A.; Müller, S. 27 2000 Rank-one convexity implies quasiconvexity on diagonal matrices. Zbl 1055.49506Müller, Stefan 27 1999 Invertibility and a topological property of Sobolev maps. Zbl 0855.73028Müller, Stefan; Spector, Scott J.; Tang, Qi 25 1996 Weak continuity of determinants and nonlinear elasticity. (Continuité faible des déterminants et applications à l’élasticité non linéaire). Zbl 0679.34051Müller, Stefan 25 1988 Local stress regularity in scalar nonconvex variational problems. Zbl 1012.49027Carstensen, Carsten; Müller, Stefan 24 2002 Magnetic microstructures – a paradigm of multiscale problems. Zbl 0991.82038DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix 24 2000 A surprising higher integrability property of mappings with positive determinant. Zbl 0689.49006Müller, Stefan 24 1989 The Föppl-von Kármán plate theory as a low energy \(\Gamma\)-limit of nonlinear elasticity. Zbl 1041.74043Friesecke, Gero; James, Richard D.; Müller, Stefan 22 2002 The uniform Korn-Poincaré inequality in thin domains. Zbl 1253.74055Lewicka, Marta; Müller, Stefan 20 2011 A nonlinear model for inextensible rods as a low energy \(\varGamma\)-limit of three-dimensional nonlinear elasticity. Zbl 1109.74028Mora, Maria Giovanna; Müller, Stefan 20 2004 The \(p\)-harmonic system with measure-valued right hand side. Zbl 0879.35052Dolzmann, Georg; Hungerbühler, Norbert; Müller, Stefan 20 1997 Hardy space methods for nonlinear partial differential equations. Zbl 0811.35025Müller, Stefan 20 1994 Regularity properties of isometric immersions. Zbl 1082.58010Müller, Stefan; Pakzad, Mohammad Reza 19 2005 Internal variables and fine-scale oscillations in micromagnetics. Zbl 0814.73054James, R. D.; Müller, Stefan 19 1994 Data-driven problems in elasticity. Zbl 1402.35276Conti, S.; Müller, S.; Ortiz, M. 18 2018 Sufficient conditions for the validity of the Cauchy-Born rule close to \(\mathrm{SO}(n)\). Zbl 1146.74006Conti, Sergio; Dolzmann, Georg; Kirchheim, Bernd; Müller, Stefan 18 2006 A \(C^{0}\) estimate for nearly umbilical surfaces. Zbl 1100.53005De Lellis, Camillo; Müller, Stefan 18 2006 On the \(\Gamma\)-convergence of discrete dynamics and variational integrators. Zbl 1136.37350Müller, S.; Ortiz, M. 18 2004 Stability of slender bodies under compression and validity of the von Kármán theory. Zbl 1200.74060Lecumberry, Myriam; Müller, Stefan 16 2009 On quasiconvex functions which are homogeneous of degree 1. Zbl 0736.26006Müller, Stefan 16 1992 Singular kernels, multiscale decomposition of microstructure, and dislocation models. Zbl 1251.74006Conti, Sergio; Garroni, Adriana; Müller, Stefan 15 2011 Two-dimensional modelling of soft ferromagnetic films. Zbl 1065.74028DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix; Schäfer, Rudolf 15 2001 On the singular support of the distributional determinant. Zbl 0792.46027Müller, Stefan 15 1993 The time-dependent von Kármán plate equation as a limit of 3d nonlinear elasticity. Zbl 1346.74110Abels, Helmut; Mora, Maria Giovanna; Müller, Stefan 14 2011 The div-curl lemma for sequences whose divergence and curl are compact in \(W^{-1,1}\). Zbl 1235.46034Conti, Sergio; Dolzmann, Georg; Müller, Stefan 14 2011 Convergence of equilibria of three-dimensional thin elastic beams. Zbl 1142.74022Mora, M. G.; Müller, S. 14 2008 Convergence of equilibria of thin elastic plates – the von Kármán case. Zbl 1141.74034Müller, S.; Pakzad, M. R. 14 2008 Rigidity estimate for two incompatible wells. Zbl 1086.49010Chaudhuri, Nirmalendu; Müller, Stefan 14 2004 A sharp version of Zhang’s theorem on truncating sequences of gradients. Zbl 0942.49013Müller, Stefan 14 1999 Unexpected solutions of first and second order partial differential equations. Zbl 0896.35029Müller, Stefan; Šverák, Vladimir 14 1998 Korn’s second inequality and geometric rigidity with mixed growth conditions. Zbl 1295.35369Conti, Sergio; Dolzmann, Georg; Müller, Stefan 13 2014 Conical singularities in thin elastic sheets. Zbl 1285.49031Müller, Stefan; Olbermann, Heiner 13 2014 Strict convexity of the free energy for a class of non-convex gradient models. Zbl 1173.82010Cotar, Codina; Deuschel, Jean-Dominique; Müller, Stefan 12 2009 \(\mathcal A\)-quasiconvexity: weak-star convergence and the gap. Zbl 1064.49016Fonseca, Irene; Leoni, Giovanni; Müller, Stefan 12 2004 Sobolev maps with integer degree and applications to Skyrme’s problem. Zbl 0757.49010Esteban, Maria J.; Müller, Stefan 12 1992 Parabolic systems with nowhere smooth solutions. Zbl 1116.35059Müller, Stefan; Rieger, Marc Oliver; Šverák, Vladimír 11 2005 Weak compactness of wave maps and harmonic maps. Zbl 0924.58011Freire, Alexandre; Müller, Stefan; Struwe, Michael 11 1998 Weak convergence of wave maps from \((1+2)\)-dimensional Minkowski space to Riemannian manifolds. Zbl 0906.35061Freire, Alexandre; Müller, Stefan; Struwe, Michael 11 1997 Global existence of wave maps in 1+2 dimensions with finite energy data. Zbl 0896.35086Müller, Stefan; Struwe, Michael 11 1996 Convergence of equilibria of planar thin elastic beams. Zbl 1125.74026Mora, M. G.; Müller, S.; Schultz, M. G. 10 2007 Rigorous derivation of Föppl’s theory for clamped elastic membranes leads to relaxation. Zbl 1146.74025Conti, Sergio; Maggi, Francesco; Müller, Stefan 10 2007 Rank-one convex functions on \(2\times 2\) symmetric matrices and laminates on rank-three lines. Zbl 1135.26301Conti, S.; Faraco, D.; Maggi, F.; Müller, S. 10 2005 Repulsive interaction of Néel walls, and the internal length scale of the cross-tie wall. Zbl 1059.82046DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix 10 2003 Radial symmetry and decay rate of variational ground states in the zero mass case. Zbl 0908.35005Flucher, M.; Müller, S. 10 1998 Concentration of low energy extremals: Identification of concentration points. Zbl 1004.35040Flucher, M.; Garroni, A.; Müller, S. 9 2002 Compensated compactness, separately convex functions and interpolatory estimates between Riesz transforms and Haar projections. Zbl 1230.49009Lee, Jihoon; Müller, Paul F. X.; Müller, Stefan 8 2011 Combined effects of homogenization and singular perturbations in elasticity. Zbl 0802.35007Francfort, G. A.; Müller, S. 8 1994 The two-well problem in three dimensions. Zbl 0956.74039Dolzmann, Georg; Kirchheim, Bernd; Müller, Stefan; Šverák, Vladimir 7 2000 Sharp stability results for almost conformal maps in even dimensions. Zbl 0966.35016Müller, Stefan; Šverák, Vladimir; Yan, Baisheng 7 1999 An isoperimetric estimate and \(W^{1,p}\)-quasiconvexity in nonlinear elasticity. Zbl 0929.74013Müller, Stefan; Sivaloganathan, Jeyabal; Spector, Scott J. 7 1999 Energy bounds for a compressed elastic film on a substrate. Zbl 1387.74069Bourne, David P.; Conti, Sergio; Müller, Stefan 6 2017 Mathematical problems in thin elastic sheets: scaling limits, packing, crumpling and singularities. Zbl 1372.35003Müller, Stefan 6 2017 On the optimal constants in Korn’s and geometric rigidity estimates in bounded and unbounded domains, under Neumann boundary conditions. Zbl 1405.74010Lewicka, Marta; Müller, Stefan 6 2016 On a differential inclusion related to the Born-Infeld equations. Zbl 1301.35226Müller, Stefan; Palombaro, Mariapia 6 2014 Confined structures of least bending energy. Zbl 1296.53127Müller, Stefan; Röger, Matthias 6 2014 Derivation of a rod theory for biphase materials with dislocations at the interface. Zbl 1274.74064Müller, Stefan; Palombaro, Mariapia 6 2013 Finite range decomposition for families of gradient Gaussian measures. Zbl 1263.60047Adams, Stefan; Kotecký, Roman; Müller, Stefan 6 2013 Striped periodic minimizers of a two-dimensional model for martensitic phase transitions. Zbl 1448.74082Giuliani, Alessandro; Müller, Stefan 6 2012 On the commutability of homogenization and linearization in finite elasticity. Zbl 1262.74029Müller, Stefan; Neukamm, Stefan 6 2011 Large time existence for thin vibrating plates. Zbl 1247.74019Abels, Helmut; Mora, Maria Giovanna; Müller, Stefan 6 2011 Existence of minimizers for a polyconvex energy in a crystal with dislocations. Zbl 1134.74015Müller, Stefan; Palombaro, Mariapia 6 2008 Data-driven finite elasticity. Zbl 1437.35654Conti, S.; Müller, S.; Ortiz, M. 3 2020 Optimal-order finite difference approximation of generalized solutions to the biharmonic equation in a cube. Zbl 07154067Müller, Stefan; Schweiger, Florian; Süli, Endre 1 2020 Estimates for the Green’s function of the discrete Bilaplacian in dimensions 2 and 3. Zbl 1422.65324Müller, Stefan; Schweiger, Florian 5 2019 Data-driven problems in elasticity. Zbl 1402.35276Conti, S.; Müller, S.; Ortiz, M. 18 2018 Energy bounds for a compressed elastic film on a substrate. Zbl 1387.74069Bourne, David P.; Conti, Sergio; Müller, Stefan 6 2017 Mathematical problems in thin elastic sheets: scaling limits, packing, crumpling and singularities. Zbl 1372.35003Müller, Stefan 6 2017 Homogenization of vector-valued partition problems and dislocation cell structures in the plane. Zbl 06722635Conti, Sergio; Garroni, Adriana; Müller, Stefan 1 2017 On the optimal constants in Korn’s and geometric rigidity estimates in bounded and unbounded domains, under Neumann boundary conditions. Zbl 1405.74010Lewicka, Marta; Müller, Stefan 6 2016 Gradient theory for geometrically nonlinear plasticity via the homogenization of dislocations. Zbl 1456.74018Müller, Stefan; Scardia, Lucia; Zeppieri, Caterina Ida 3 2015 Microstructure in plasticity, a comparison between theory and experiment. Zbl 1370.74026Dmitrieva, Olga; Raabe, Dierk; Müller, Stefan; Dondl, Patrick W. 1 2015 Korn’s second inequality and geometric rigidity with mixed growth conditions. Zbl 1295.35369Conti, Sergio; Dolzmann, Georg; Müller, Stefan 13 2014 Conical singularities in thin elastic sheets. Zbl 1285.49031Müller, Stefan; Olbermann, Heiner 13 2014 On a differential inclusion related to the Born-Infeld equations. Zbl 1301.35226Müller, Stefan; Palombaro, Mariapia 6 2014 Confined structures of least bending energy. Zbl 1296.53127Müller, Stefan; Röger, Matthias 6 2014 Almost conical deformations of thin sheets with rotational symmetry. Zbl 1290.49087Müller, Stefan; Olbermann, Heiner 5 2014 Derivation of a rod theory for biphase materials with dislocations at the interface. Zbl 1274.74064Müller, Stefan; Palombaro, Mariapia 6 2013 Finite range decomposition for families of gradient Gaussian measures. Zbl 1263.60047Adams, Stefan; Kotecký, Roman; Müller, Stefan 6 2013 Striped periodic minimizers of a two-dimensional model for martensitic phase transitions. Zbl 1448.74082Giuliani, Alessandro; Müller, Stefan 6 2012 The uniform Korn-Poincaré inequality in thin domains. Zbl 1253.74055Lewicka, Marta; Müller, Stefan 20 2011 Singular kernels, multiscale decomposition of microstructure, and dislocation models. Zbl 1251.74006Conti, Sergio; Garroni, Adriana; Müller, Stefan 15 2011 The time-dependent von Kármán plate equation as a limit of 3d nonlinear elasticity. Zbl 1346.74110Abels, Helmut; Mora, Maria Giovanna; Müller, Stefan 14 2011 The div-curl lemma for sequences whose divergence and curl are compact in \(W^{-1,1}\). Zbl 1235.46034Conti, Sergio; Dolzmann, Georg; Müller, Stefan 14 2011 Compensated compactness, separately convex functions and interpolatory estimates between Riesz transforms and Haar projections. Zbl 1230.49009Lee, Jihoon; Müller, Paul F. X.; Müller, Stefan 8 2011 On the commutability of homogenization and linearization in finite elasticity. Zbl 1262.74029Müller, Stefan; Neukamm, Stefan 6 2011 Large time existence for thin vibrating plates. Zbl 1247.74019Abels, Helmut; Mora, Maria Giovanna; Müller, Stefan 6 2011 Monotone curves. Zbl 1238.46017Kirchheim, Bernd; Kopecká, Eva; Müller, Stefan 1 2011 Stability of slender bodies under compression and validity of the von Kármán theory. Zbl 1200.74060Lecumberry, Myriam; Müller, Stefan 16 2009 Strict convexity of the free energy for a class of non-convex gradient models. Zbl 1173.82010Cotar, Codina; Deuschel, Jean-Dominique; Müller, Stefan 12 2009 Do projections stay close together? Zbl 1160.51016Kirchheim, Bernd; Kopecká, Eva; Müller, Stefan 2 2009 Convergence of equilibria of three-dimensional thin elastic beams. Zbl 1142.74022Mora, M. G.; Müller, S. 14 2008 Convergence of equilibria of thin elastic plates – the von Kármán case. Zbl 1141.74034Müller, S.; Pakzad, M. R. 14 2008 Existence of minimizers for a polyconvex energy in a crystal with dislocations. Zbl 1134.74015Müller, Stefan; Palombaro, Mariapia 6 2008 Convergence of equilibria of planar thin elastic beams. Zbl 1125.74026Mora, M. G.; Müller, S.; Schultz, M. G. 10 2007 Rigorous derivation of Föppl’s theory for clamped elastic membranes leads to relaxation. Zbl 1146.74025Conti, Sergio; Maggi, Francesco; Müller, Stefan 10 2007 Derivation of a rod theory for multiphase materials. Zbl 1105.74016Mora, Maria Giovanna; Müller, Stefan 6 2007 Scaling of the energy for thin martensitic films. Zbl 1108.74039Chaudhuri, Nirmalendu; Müller, Stefan 5 2007 A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence. Zbl 1100.74039Friesecke, Gero; James, Richard D.; Müller, Stefan 168 2006 A variational model for dislocations in the line tension limit. Zbl 1158.74365Garroni, Adriana; Müller, Stefan 47 2006 Recent analytical developments in micromagnetics. Zbl 1151.35426DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix 39 2006 Lower semicontinuity and existence of minimizers in incremental finite-strain elastoplasticity. Zbl 1102.74006Mielke, Alexander; Müller, Stefan 32 2006 Sufficient conditions for the validity of the Cauchy-Born rule close to \(\mathrm{SO}(n)\). Zbl 1146.74006Conti, Sergio; Dolzmann, Georg; Kirchheim, Bernd; Müller, Stefan 18 2006 A \(C^{0}\) estimate for nearly umbilical surfaces. Zbl 1100.53005De Lellis, Camillo; Müller, Stefan 18 2006 \(\Gamma\)-limit of a phase-field model of dislocations. Zbl 1094.82008Garroni, A.; Müller, S. 52 2005 Optimal rigidity estimates for nearly umbilical surfaces. Zbl 1087.53004de Lellis, Camillo; Müller, Stefan 34 2005 Regularity properties of isometric immersions. Zbl 1082.58010Müller, Stefan; Pakzad, Mohammad Reza 19 2005 Parabolic systems with nowhere smooth solutions. Zbl 1116.35059Müller, Stefan; Rieger, Marc Oliver; Šverák, Vladimír 11 2005 Rank-one convex functions on \(2\times 2\) symmetric matrices and laminates on rank-three lines. Zbl 1135.26301Conti, S.; Faraco, D.; Maggi, F.; Müller, S. 10 2005 Self-similar folding patterns and energy scaling in compressed elastic sheets. Zbl 1082.74030Conti, Sergio; DeSimone, Antonio; Müller, Stefan 4 2005 A nonlinear model for inextensible rods as a low energy \(\varGamma\)-limit of three-dimensional nonlinear elasticity. Zbl 1109.74028Mora, Maria Giovanna; Müller, Stefan 20 2004 On the \(\Gamma\)-convergence of discrete dynamics and variational integrators. Zbl 1136.37350Müller, S.; Ortiz, M. 18 2004 Rigidity estimate for two incompatible wells. Zbl 1086.49010Chaudhuri, Nirmalendu; Müller, Stefan 14 2004 \(\mathcal A\)-quasiconvexity: weak-star convergence and the gap. Zbl 1064.49016Fonseca, Irene; Leoni, Giovanni; Müller, Stefan 12 2004 Convex integration for Lipschitz mappings and counterexamples to regularity. Zbl 1083.35032Müller, S.; Šverák, V. 87 2003 Derivation of nonlinear bending theory for shells from three-dimensional nonlinear elasticity by Gamma-convergence. Zbl 1140.74481Friesecke, Gero; James, Richard D.; Mora, Maria Giovanna; Müller, Stefan 70 2003 Derivation of the nonlinear bending-torsion theory for inextensible rods by \(\Gamma\)-convergence. Zbl 1053.74027Mora, Maria Giovanna; Müller, Stefan 44 2003 Studying nonlinear PDE by geometry in matrix space. Zbl 1290.35097Kirchheim, Bernd; Müller, Stefan; Šverák, Vladimír 37 2003 Repulsive interaction of Néel walls, and the internal length scale of the cross-tie wall. Zbl 1059.82046DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix 10 2003 Rank-one convexity implies quasi-convexity on certain hypersurfaces. Zbl 1054.49018Chaudhuri, Nirmalendu; Müller, Stefan 5 2003 Multiscale modeling of materials – the role of analysis. Zbl 1065.74056Conti, Sergio; DeSimone, Antonio; Dolzmann, Georg; Müller, Stefan; Otto, Felix 4 2003 Polyconvexity equals rank-one convexity for connected isotropic sets in \(\mathbb M^{2\times 2}\). Zbl 1050.49010Conti, Sergio; De Lellis, Camillo; Müller, Stefan; Romeo, Mario 1 2003 Concentration phenomena for the volume functional in unbounded domains: identification of concentration points. Zbl 1161.49305Garroni, A.; Müller, S. 1 2003 A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity. Zbl 1021.74024Friesecke, Gero; James, Richard D.; Müller, Stefan 275 2002 A reduced theory for thin-film micromagnetics. Zbl 1027.82042DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix 59 2002 Energy scaling of compressed elastic films – three-dimensional elasticity and reduced theories. Zbl 1041.74048Ben Belgacem, Hafedh; Conti, Sergio; DeSimone, Antonio; Müller, Stefan 32 2002 Rigorous derivation of nonlinear plate theory and geometric rigidity. Zbl 1012.74043Friesecke, Gero; Müller, Stefan; James, Richard D. 29 2002 Local stress regularity in scalar nonconvex variational problems. Zbl 1012.49027Carstensen, Carsten; Müller, Stefan 24 2002 The Föppl-von Kármán plate theory as a low energy \(\Gamma\)-limit of nonlinear elasticity. Zbl 1041.74043Friesecke, Gero; James, Richard D.; Müller, Stefan 22 2002 Concentration of low energy extremals: Identification of concentration points. Zbl 1004.35040Flucher, M.; Garroni, A.; Müller, S. 9 2002 Discrete-to-continuum limit of magnetic forces. Zbl 1038.74018Müller, Stefan; Schlömerkemper, Anja 6 2002 A compactness result in the gradient theory of phase transitions. Zbl 0986.49009DeSimone, Antonio; Müller, Stefan; Kohn, Robert V.; Otto, Felix 43 2001 A new approach to variational problems with multiple scales. Zbl 1021.49012Alberti, Giovanni; Müller, Stefan 36 2001 Optimal existence theorems for nonhomogeneous differential inclusions. Zbl 0989.49012Müller, S.; Sychev, M. A. 31 2001 Two-dimensional modelling of soft ferromagnetic films. Zbl 1065.74028DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix; Schäfer, Rudolf 15 2001 Uniqueness and maximal regularity for nonlinear elliptic systems of \(n\)-Laplace type with measure valued right hand side. Zbl 0937.35065Dolzmann, Georg; Hungerbühler, Norbert; Müller, Stefan 49 2000 Rigourous bounds for the Föppl-von Kármán theory of isotropically compressed plates. Zbl 1015.74029Ben Belgacem, H.; Conti, S.; DeSimone, A.; Müller, S. 27 2000 Magnetic microstructures – a paradigm of multiscale problems. Zbl 0991.82038DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix 24 2000 The two-well problem in three dimensions. Zbl 0956.74039Dolzmann, Georg; Kirchheim, Bernd; Müller, Stefan; Šverák, Vladimir 7 2000 Quasiconvexity is not invariant under transposition. Zbl 0980.49017Müller, Stefan 6 2000 Variational models for microstructure and phase transitions. Zbl 0968.74050Müller, Stefan 108 1999 \(\mathcal A\)-quasiconvexity, lower semicontinuity, and Young measures. Zbl 0940.49014Fonseca, Irene; Müller, Stefan 102 1999 Convex integration with constraints and applications to phase transitions and partial differential equations. Zbl 0953.35042Müller, S.; Šverák, V. 51 1999 Rank-one convexity implies quasiconvexity on diagonal matrices. Zbl 1055.49506Müller, Stefan 27 1999 A sharp version of Zhang’s theorem on truncating sequences of gradients. Zbl 0942.49013Müller, Stefan 14 1999 Sharp stability results for almost conformal maps in even dimensions. Zbl 0966.35016Müller, Stefan; Šverák, Vladimir; Yan, Baisheng 7 1999 An isoperimetric estimate and \(W^{1,p}\)-quasiconvexity in nonlinear elasticity. Zbl 0929.74013Müller, Stefan; Sivaloganathan, Jeyabal; Spector, Scott J. 7 1999 Concentration of low energy extremals. Zbl 0938.35042Flucher, M.; Müller, S. 6 1999 Analysis of concentration and oscillation effects generated by gradients. Zbl 0920.49009Fonseca, Irene; Müller, Stefan; Pedregal, Pablo 69 1998 Unexpected solutions of first and second order partial differential equations. Zbl 0896.35029Müller, Stefan; Šverák, Vladimir 14 1998 Weak compactness of wave maps and harmonic maps. Zbl 0924.58011Freire, Alexandre; Müller, Stefan; Struwe, Michael 11 1998 Radial symmetry and decay rate of variational ground states in the zero mass case. Zbl 0908.35005Flucher, M.; Müller, S. 10 1998 Spatially discrete wave maps on (1+2)-dimensional space-time. Zbl 0933.58020Müller, Stefan; Struwe, Michael 4 1998 Microstructures, phase transitions and geometry. Zbl 0908.49014Müller, Stefan 1 1998 Nonlinear elliptic systems with measure-valued right hand side. Zbl 0895.35029Dolzmann, Georg; Hungerbühler, Norbert; Müller, Stefan 29 1997 The \(p\)-harmonic system with measure-valued right hand side. Zbl 0879.35052Dolzmann, Georg; Hungerbühler, Norbert; Müller, Stefan 20 1997 Weak convergence of wave maps from \((1+2)\)-dimensional Minkowski space to Riemannian manifolds. Zbl 0906.35061Freire, Alexandre; Müller, Stefan; Struwe, Michael 11 1997 Harmonic maps on planar lattices. Zbl 1004.58007Müller, Stefan; Struwe, Michael; Šverák, Vladimir 1 1997 Attainment results for the two-well problem by convex integration. Zbl 0930.35038Müller, Stefan; Šverák, Vladimir 41 1996 Invertibility and a topological property of Sobolev maps. Zbl 0855.73028Müller, Stefan; Spector, Scott J.; Tang, Qi 25 1996 Global existence of wave maps in 1+2 dimensions with finite energy data. Zbl 0896.35086Müller, Stefan; Struwe, Michael 11 1996 An existence theory for nonlinear elasticity that allows for cavitation. Zbl 0836.73025Müller, Stefan; Spector, Scott J. 84 1995 ...and 28 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,783 Authors 65 Conti, Sergio 58 Müller, Stefan 35 Fonseca, Irene 27 Ciarlet, Philippe Gaston 27 Ortiz, Michael 24 Iwaniec, Tadeusz 23 Mardare, Cristinel 22 Dolzmann, Georg 21 Kružík, Martin 20 Hornung, Peter 20 Otto, Felix 19 Mingione, Giuseppe 19 Yan, Baisheng 18 Braides, Andrea 18 Ignat, Radu 18 Yang, Dachun 17 DeSimone, Antonio 17 Mora, Maria Giovanna 16 De Lellis, Camillo 16 Garroni, Adriana 16 Kohn, Robert Vita 16 Pedregal, Pablo 16 Ponte Castañeda, Pedro 16 Pruchnicki, Erick 16 Schmidt, Bernd 15 Bartels, Sören 15 Fusco, Nicola 15 Harutyunyan, Davit 15 Lewicka, Marta , Wang, Dehua 15 Mora-Corral, Carlos 15 Paroni, Roberto 15 Stefanelli, Ulisse 14 Lopez-Pamies, Oscar 14 Velčić, Igor 14 Zhang, Kewei 13 Dacorogna, Bernard 13 Henao, Duvan A. 13 Kristensen, Jan 13 Krömer, Stefan 13 Mielke, Alexander 13 Onninen, Jani 13 Rindler, Filip 13 Székelyhidi, László jun. 12 Carstensen, Carsten 12 Faraco, Daniel 12 Friedrich, Manuel 12 Griso, Georges 12 Leoni, Giovanni 12 Neff, Patrizio 12 Rivière, Tristan 12 Schlömerkemper, Anja 12 Serfaty, Sylvia 12 Sivaloganathan, Jeyabal 12 Zappale, Elvira 11 Cianchi, Andrea 11 Dal Maso, Gianni 11 Hencl, Stanislav 11 James, Richard D. 11 Maggi, Francesco 11 Malý, Jan 11 Muratov, Cyrill B. 11 Olbermann, Heiner 11 Palombaro, Mariapia 11 Ponsiglione, Marcello 10 Bevan, Jonathan J. 10 Blanchard, Dominique 10 Gaudiello, Antonio 10 Miehe, Christian 10 Neukamm, Stefan 10 Roubíček, Tomáš 10 Spector, Scott J. 10 Steigmann, David J. 10 Triantafyllidis, Nicolas 9 Bella, Peter 9 De Philippis, Guido 9 Focardi, Matteo 9 Friesecke, Gero 9 Gloria, Antoine 9 Lorent, Andrew 9 Marcellini, Paolo 9 Pakzad, Mohammad Reza 9 Rüland, Angkana 9 Rumpf, Martin 9 Zwicknagl, Barbara Maria 8 Alicandro, Roberto 8 Benešová, Barbora 8 Cicalese, Marco 8 Francfort, Gilles A. 8 Grabovsky, Yury 8 Jiu, Quansen 8 Kim, Seick 8 Kim, Seonghak 8 Knüpfer, Hans 8 Kreisbeck, Carolin 8 Mandallena, Jean-Philippe 8 Michaille, Gérard 8 Wei, Juncheng 8 Zeppieri, Caterina Ida 7 Agostiniani, Virginia 7 Ansini, Nadia ...and 1,683 more Authors all top 5 Cited in 260 Serials 179 Archive for Rational Mechanics and Analysis 132 Calculus of Variations and Partial Differential Equations 91 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 69 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 65 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 62 Journal of the Mechanics and Physics of Solids 54 Journal of Elasticity 51 Journal de Mathématiques Pures et Appliquées. Neuvième Série 50 Journal of Differential Equations 48 Comptes Rendus. Mathématique. Académie des Sciences, Paris 45 Computer Methods in Applied Mechanics and Engineering 44 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 41 SIAM Journal on Mathematical Analysis 38 Mathematics and Mechanics of Solids 37 Journal of Functional Analysis 36 Journal of Mathematical Analysis and Applications 32 Journal of Nonlinear Science 25 Communications in Mathematical Physics 23 Communications on Pure and Applied Mathematics 22 Proceedings of the Royal Society of Edinburgh. Section A. 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Series S 9 International Journal of Engineering Science 9 Inventiones Mathematicae 8 Journal of Mathematical Physics 8 Journal of Statistical Physics 8 ZAMP. Zeitschrift für angewandte Mathematik und Physik 8 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 8 Meccanica 8 Ricerche di Matematica 8 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 8 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 8 GAMM-Mitteilungen 7 Mathematische Zeitschrift 7 SIAM Journal on Numerical Analysis 7 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 7 Discrete and Continuous Dynamical Systems 7 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 7 Science China. Mathematics 6 Journal d’Analyse Mathématique 6 Nonlinearity 6 The Annals of Probability 6 International Journal for Numerical Methods in Engineering 6 Numerische Mathematik 6 Acta Mathematicae Applicatae Sinica. English Series 6 Computational Mechanics 6 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 5 Applied Mathematics and Optimization 5 Duke Mathematical Journal 5 Journal of Optimization Theory and Applications 5 Quarterly of Applied Mathematics 5 Zeitschrift für Analysis und ihre Anwendungen 5 Chinese Annals of Mathematics. Series B 5 Journal of the American Mathematical Society 5 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 5 European Journal of Mechanics. A. Solids 5 Acta Mathematica Sinica. English Series 5 Nonlinear Analysis. Real World Applications 5 Analysis & PDE 5 Nonlinear Analysis. Theory, Methods & Applications 4 Computers & Mathematics with Applications 4 International Journal of Solids and Structures 4 Mathematics of Computation 4 Journal für die Reine und Angewandte Mathematik 4 Probability Theory and Related Fields 4 SIAM Journal on Applied Mathematics 4 Revista Matemática Complutense 4 Journal of Mathematical Fluid Mechanics 4 Annals of Mathematics. Second Series 4 Interfaces and Free Boundaries 4 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 4 Multiscale Modeling & Simulation 4 Journal of Fixed Point Theory and Applications 4 Networks and Heterogeneous Media 4 Journal of Elliptic and Parabolic Equations 3 Arkiv för Matematik 3 Journal of Computational and Applied Mathematics 3 Mathematische Nachrichten 3 Siberian Mathematical Journal 3 Annals of Global Analysis and Geometry 3 Revista Matemática Iberoamericana ...and 160 more Serials all top 5 Cited in 51 Fields 878 Mechanics of deformable solids (74-XX) 830 Partial differential equations (35-XX) 679 Calculus of variations and optimal control; optimization (49-XX) 188 Statistical mechanics, structure of matter (82-XX) 141 Functional analysis (46-XX) 139 Differential geometry (53-XX) 103 Fluid mechanics (76-XX) 101 Real functions (26-XX) 86 Numerical analysis (65-XX) 81 Global analysis, analysis on manifolds (58-XX) 59 Functions of a complex variable (30-XX) 58 Optics, electromagnetic theory (78-XX) 53 Harmonic analysis on Euclidean spaces (42-XX) 53 Operator theory (47-XX) 43 Probability theory and stochastic processes (60-XX) 41 Measure and integration (28-XX) 26 Convex and discrete geometry (52-XX) 25 Potential theory (31-XX) 25 Dynamical systems and ergodic theory (37-XX) 23 Ordinary differential equations (34-XX) 20 Biology and other natural sciences (92-XX) 19 Mechanics of particles and systems (70-XX) 14 Quantum theory (81-XX) 13 Classical thermodynamics, heat transfer (80-XX) 11 Computer science (68-XX) 11 Operations research, mathematical programming (90-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 8 Approximations and expansions (41-XX) 8 Manifolds and cell complexes (57-XX) 8 Systems theory; control (93-XX) 8 Information and communication theory, circuits (94-XX) 6 Integral equations (45-XX) 6 Algebraic topology (55-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Difference and functional equations (39-XX) 4 General and overarching topics; collections (00-XX) 4 History and biography (01-XX) 4 Statistics (62-XX) 4 Relativity and gravitational theory (83-XX) 4 Geophysics (86-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Abstract harmonic analysis (43-XX) 3 Geometry (51-XX) 2 Combinatorics (05-XX) 2 General topology (54-XX) 1 Nonassociative rings and algebras (17-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Astronomy and astrophysics (85-XX) 1 Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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