Edit Profile (opens in new tab) Müller, Stefan Co-Author Distance Author ID: muller.stefan.1 Published as: Müller, Stefan; Müller, S. Homepage: http://www.hcm.uni-bonn.de/people/profile/stefan-mueller/ External Links: MGP · Wikidata · Google Scholar · dblp · GND · IdRef Awards: EMS Prize (1992) Documents Indexed: 156 Publications since 1987, including 15 Additional arXiv Preprints 5 Contributions as Editor · 1 Further Contribution Co-Authors: 78 Co-Authors with 130 Joint Publications 2,279 Co-Co-Authors all top 5 Co-Authors 23 single-authored 20 Conti, Sergio 12 Dolzmann, Georg 11 Šverák, Vladimír 10 DeSimone, Antonio 9 Mora, Maria Giovanna 8 Garroni, Adriana 8 James, Richard D. 8 Kohn, Robert Vita 7 Otto, Felix 6 Fonseca, Irene 6 Kleiner, Bruce 5 Friesecke, Gero 5 Kirchheim, Bernd 5 Struwe, Michael 4 Ortiz, Michael 4 Spector, Scott J. 3 Abels, Helmut 3 Adams, Stefan 3 Ball, John MacLeod 3 Chaudhuri, Nirmalendu 3 De Lellis, Camillo 3 Flucher, Martin 3 Hungerbuhler, Norbert 3 Kienzler, Reinhold 3 Kotecký, Roman 3 McDowell, David L. 3 Palombaro, Mariapia 3 Werner, Ewald A. 2 Ben Belgacem, Hafedh 2 Bourne, David P. 2 Cotar, Codina 2 Deuschel, Jean-Dominique 2 Freire, Alexandre 2 Geymonat, Giuseppe 2 Kopecká, Eva 2 Lewicka, Marta 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 Alberti, Giovanni 1 Brixner, Tobias 1 Buchholz, Simon 1 Carstensen, Carsten 1 Dacorogna, Bernard 1 Dmitrieva, Olga 1 Dondl, Patrick Werner 1 Esteban, Maria J. 1 Evans, Lawrence Craig 1 Faraco, Daniel 1 Fishbain, Barak 1 Francfort, Gilles A. 1 Fusco, Nicola 1 Giuliani, Alessandro 1 Hochbaum, Dorit S. 1 Kenneweg, Tristan 1 Koop, Andreas 1 Krömer, Milan 1 Kröner, Dietmar 1 Lecumberry, Myriam 1 Lee, Jihoon 1 Leoni, Giovanni 1 Lewintan, Peter 1 Lienstromberg, Christina 1 Marcellini, Paolo 1 Mielke, Alexander 1 Neff, Patrizio 1 Neukamm, Stefan 1 Pedregal, Pablo 1 Pfeiffer, Walter 1 Raabe, Dierk 1 Rieger, Marc Oliver 1 Röger, Matthias 1 Romeo, Mario 1 Scardia, Lucia 1 Schäfer, Rudolf 1 Schlömerkemper, Anja 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 15 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 4 Journal of Nonlinear Science 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 the European Mathematical Society (JEMS) 2 Communications in Mathematical Physics 2 Mathematische Zeitschrift 2 Topological Methods in Nonlinear Analysis 1 Computer Methods in Applied Mechanics and Engineering 1 Computer Physics Communications 1 Journal of Mathematical Analysis and Applications 1 Journal of the Mechanics and Physics of Solids 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 Lecture Notes in Mathematics 1 Bollettino dell’Unione Matematica Italiana all top 5 Fields 78 Mechanics of deformable solids (74-XX) 58 Partial differential equations (35-XX) 52 Calculus of variations and optimal control; optimization (49-XX) 19 Statistical mechanics, structure of matter (82-XX) 14 Differential geometry (53-XX) 12 Functional analysis (46-XX) 8 Real functions (26-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 General and overarching topics; collections (00-XX) 7 Functions of a complex variable (30-XX) 5 Ordinary differential equations (34-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Probability theory and stochastic processes (60-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 Optics, electromagnetic theory (78-XX) 1 Combinatorics (05-XX) 1 Measure and integration (28-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Geometry (51-XX) 1 Quantum theory (81-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 134 Publications have been cited 4,583 times in 2,573 Documents Cited by ▼ Year ▼ A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity. Zbl 1021.74024 Friesecke, Gero; James, Richard D.; Müller, Stefan 367 2002 A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence. Zbl 1100.74039 Friesecke, Gero; James, Richard D.; Müller, Stefan 225 2006 Variational models for microstructure and phase transitions. Zbl 0968.74050 Müller, Stefan 175 1999 \(\mathcal A\)-quasiconvexity, lower semicontinuity, and Young measures. Zbl 0940.49014 Fonseca, Irene; Müller, Stefan 145 1999 Homogenization of nonconvex integral functionals and cellular elastic materials. Zbl 0629.73009 Müller, Stefan 130 1987 Convex integration for Lipschitz mappings and counterexamples to regularity. Zbl 1083.35032 Müller, S.; Šverák, V. 123 2003 Homogenization of nonlinearly elastic materials, microscopic bifurcation and macroscopic loss of rank-one convexity. Zbl 0801.73008 Geymonat, Giuseppe; Müller, Stefan; Triantafyllidis, Nicolas 109 1993 Surface energy and microstructure in coherent phase transitions. Zbl 0803.49007 Kohn, Robert V.; Müller, Stefan 107 1994 An existence theory for nonlinear elasticity that allows for cavitation. Zbl 0836.73025 Müller, Stefan; Spector, Scott J. 105 1995 A uniqueness proof for the Wulff theorem. Zbl 0752.49019 Fonseca, Irene; Müller, Stefan 99 1991 Higher integrability of determinants and weak convergence in \(L^ 1\). Zbl 0713.49004 Müller, Stefan 95 1990 Quasi-convex integrands and lower semicontinuity in \(L^ 1\). Zbl 0764.49012 Fonseca, Irene; Müller, Stefan 89 1992 Derivation of nonlinear bending theory for shells from three-dimensional nonlinear elasticity by Gamma-convergence. Zbl 1140.74481 Friesecke, Gero; James, Richard D.; Mora, Maria Giovanna; Müller, Stefan 86 2003 Relaxation of quasiconvex functionals in \(BV(\Omega, \mathbb{R}^ N)\) for integrands \(f(x, u, \bigtriangledown u)\). Zbl 0788.49039 Fonseca, Irene; Müller, Stefan 83 1993 Analysis of concentration and oscillation effects generated by gradients. Zbl 0920.49009 Fonseca, Irene; Müller, Stefan; Pedregal, Pablo 79 1998 On a new class of elastic deformations not allowing for cavitation. Zbl 0863.49002 Müller, S.; Qi, Tang; Yan, B. S. 75 1994 A reduced theory for thin-film micromagnetics. Zbl 1027.82042 DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix 72 2002 \(\Gamma\)-limit of a phase-field model of dislocations. Zbl 1094.82008 Garroni, A.; Müller, S. 69 2005 Singular perturbations as a selection criterion for periodic minimizing sequences. Zbl 0821.49015 Müller, Stefan 69 1993 A variational model for dislocations in the line tension limit. Zbl 1158.74365 Garroni, Adriana; Müller, Stefan 66 2006 Convex integration with constraints and applications to phase transitions and partial differential equations. Zbl 0953.35042 Müller, S.; Šverák, V. 64 1999 Uniqueness and maximal regularity for nonlinear elliptic systems of \(n\)-Laplace type with measure valued right hand side. Zbl 0937.35065 Dolzmann, Georg; Hungerbühler, Norbert; Müller, Stefan 59 2000 Derivation of the nonlinear bending-torsion theory for inextensible rods by \(\Gamma\)-convergence. Zbl 1053.74027 Mora, Maria Giovanna; Müller, Stefan 58 2003 Nonlinear elliptic systems with measure-valued right hand side. Zbl 0895.35029 Dolzmann, Georg; Hungerbühler, Norbert; Müller, Stefan 57 1997 A compactness result in the gradient theory of phase transitions. Zbl 0986.49009 DeSimone, Antonio; Müller, Stefan; Kohn, Robert V.; Otto, Felix 56 2001 Studying nonlinear PDE by geometry in matrix space. Zbl 1290.35097 Kirchheim, Bernd; Müller, Stefan; Šverák, Vladimír 55 2003 Det\(=\det\). A remark on the distributional determinant. Zbl 0717.46033 Müller, Stefan 53 1990 Attainment results for the two-well problem by convex integration. Zbl 0930.35038 Müller, Stefan; Šverák, Vladimir 51 1996 Recent analytical developments in micromagnetics. Zbl 1151.35426 DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix 50 2006 On surfaces of finite total curvature. Zbl 0853.53003 Müller, S.; Šverák, V. 49 1995 Estimates for Green’s matrices of elliptic systems by \(L^ p\) theory. Zbl 0846.35040 Dolzmann, G.; Müller, S. 48 1995 Microstructures with finite surface energy: The two-well problem. Zbl 0846.73054 Dolzmann, Georg; Müller, Stefan 47 1995 Optimal rigidity estimates for nearly umbilical surfaces. Zbl 1087.53004 de Lellis, Camillo; Müller, Stefan 47 2005 Rank-one convexity implies quasiconvexity on diagonal matrices. Zbl 1055.49506 Müller, Stefan 42 1999 Lower semicontinuity and existence of minimizers in incremental finite-strain elastoplasticity. Zbl 1102.74006 Mielke, Alexander; Müller, Stefan 42 2006 Hardy spaces and the two-dimensional Euler equations with nonnegative vorticity. Zbl 0802.35120 Evans, L. C.; Müller, S. 42 1994 A new approach to variational problems with multiple scales. Zbl 1021.49012 Alberti, Giovanni; Müller, Stefan 39 2001 Energy scaling of compressed elastic films – three-dimensional elasticity and reduced theories. Zbl 1041.74048 Ben Belgacem, Hafedh; Conti, Sergio; DeSimone, Antonio; Müller, Stefan 39 2002 Data-driven problems in elasticity. Zbl 1402.35276 Conti, S.; Müller, S.; Ortiz, M. 39 2018 Optimal existence theorems for nonhomogeneous differential inclusions. Zbl 0989.49012 Müller, S.; Sychev, M. A. 36 2001 Rigorous derivation of nonlinear plate theory and geometric rigidity. Zbl 1012.74043 Friesecke, Gero; Müller, Stefan; James, Richard D. 34 2002 A nonlinear model for inextensible rods as a low energy \(\varGamma\)-limit of three-dimensional nonlinear elasticity. Zbl 1109.74028 Mora, Maria Giovanna; Müller, Stefan 34 2004 Invertibility and a topological property of Sobolev maps. Zbl 0855.73028 Müller, Stefan; Spector, Scott J.; Tang, Qi 32 1996 The \(p\)-harmonic system with measure-valued right hand side. Zbl 0879.35052 Dolzmann, Georg; Hungerbühler, Norbert; Müller, Stefan 30 1997 Rigourous bounds for the Föppl-von Kármán theory of isotropically compressed plates. Zbl 1015.74029 Ben Belgacem, H.; Conti, S.; DeSimone, A.; Müller, S. 29 2000 Weak continuity of determinants and nonlinear elasticity. (Continuité faible des déterminants et applications à l’élasticité non linéaire). Zbl 0679.34051 Müller, Stefan 28 1988 Local stress regularity in scalar nonconvex variational problems. Zbl 1012.49027 Carstensen, Carsten; Müller, Stefan 28 2002 Sufficient conditions for the validity of the Cauchy-Born rule close to \(\mathrm{SO}(n)\). Zbl 1146.74006 Conti, Sergio; Dolzmann, Georg; Kirchheim, Bernd; Müller, Stefan 27 2006 Magnetic microstructures – a paradigm of multiscale problems. Zbl 0991.82038 DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix 26 2000 A surprising higher integrability property of mappings with positive determinant. Zbl 0689.49006 Müller, Stefan 26 1989 Hardy space methods for nonlinear partial differential equations. Zbl 0811.35025 Müller, Stefan 26 1994 The uniform Korn-Poincaré inequality in thin domains. Zbl 1253.74055 Lewicka, Marta; Müller, Stefan 26 2011 The Föppl-von Kármán plate theory as a low energy \(\Gamma\)-limit of nonlinear elasticity. Zbl 1041.74043 Friesecke, Gero; James, Richard D.; Müller, Stefan 26 2002 The time-dependent von Kármán plate equation as a limit of 3d nonlinear elasticity. Zbl 1346.74110 Abels, Helmut; Mora, Maria Giovanna; Müller, Stefan 25 2011 Stability of slender bodies under compression and validity of the von Kármán theory. Zbl 1200.74060 Lecumberry, Myriam; Müller, Stefan 25 2009 A \(C^{0}\) estimate for nearly umbilical surfaces. Zbl 1100.53005 De Lellis, Camillo; Müller, Stefan 23 2006 Korn’s second inequality and geometric rigidity with mixed growth conditions. Zbl 1295.35369 Conti, Sergio; Dolzmann, Georg; Müller, Stefan 23 2014 Singular kernels, multiscale decomposition of microstructure, and dislocation models. Zbl 1251.74006 Conti, Sergio; Garroni, Adriana; Müller, Stefan 22 2011 On the \(\Gamma\)-convergence of discrete dynamics and variational integrators. Zbl 1136.37350 Müller, S.; Ortiz, M. 22 2004 Unexpected solutions of first and second order partial differential equations. Zbl 0896.35029 Müller, Stefan; Šverák, Vladimir 21 1998 Strict convexity of the free energy for a class of non-convex gradient models. Zbl 1173.82010 Cotar, Codina; Deuschel, Jean-Dominique; Müller, Stefan 21 2009 Regularity properties of isometric immersions. Zbl 1082.58010 Müller, Stefan; Pakzad, Mohammad Reza 21 2005 On quasiconvex functions which are homogeneous of degree 1. Zbl 0736.26006 Müller, Stefan 21 1992 On the singular support of the distributional determinant. Zbl 0792.46027 Müller, Stefan 21 1993 Internal variables and fine-scale oscillations in micromagnetics. Zbl 0814.73054 James, R. D.; Müller, Stefan 20 1994 A sharp version of Zhang’s theorem on truncating sequences of gradients. Zbl 0942.49013 Müller, Stefan 19 1999 Convergence of equilibria of thin elastic plates – the von Kármán case. Zbl 1141.74034 Müller, S.; Pakzad, M. R. 19 2008 \(\mathcal A\)-quasiconvexity: weak-star convergence and the gap. Zbl 1064.49016 Fonseca, Irene; Leoni, Giovanni; Müller, Stefan 18 2004 Convergence of equilibria of three-dimensional thin elastic beams. Zbl 1142.74022 Mora, M. G.; Müller, S. 18 2008 The div-curl lemma for sequences whose divergence and curl are compact in \(W^{-1,1}\). Zbl 1235.46034 Conti, Sergio; Dolzmann, Georg; Müller, Stefan 17 2011 Rigidity estimate for two incompatible wells. Zbl 1086.49010 Chaudhuri, Nirmalendu; Müller, Stefan 17 2004 The influence of surface energy on stress-free microstructures in shape memory alloys. Zbl 0835.73061 Dolzmann, Georg; Müller, Stefan 16 1995 Two-dimensional modelling of soft ferromagnetic films. Zbl 1065.74028 DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix; Schäfer, Rudolf 16 2001 On the commutability of homogenization and linearization in finite elasticity. Zbl 1262.74029 Müller, Stefan; Neukamm, Stefan 16 2011 Conical singularities in thin elastic sheets. Zbl 1285.49031 Müller, Stefan; Olbermann, Heiner 16 2014 Parabolic systems with nowhere smooth solutions. Zbl 1116.35059 Müller, Stefan; Rieger, Marc Oliver; Šverák, Vladimír 15 2005 On the optimal constants in Korn’s and geometric rigidity estimates in bounded and unbounded domains, under Neumann boundary conditions. Zbl 1405.74010 Lewicka, Marta; Müller, Stefan 15 2016 Weak compactness of wave maps and harmonic maps. Zbl 0924.58011 Freire, Alexandre; Müller, Stefan; Struwe, Michael 14 1998 Rigorous derivation of Föppl’s theory for clamped elastic membranes leads to relaxation. Zbl 1146.74025 Conti, Sergio; Maggi, Francesco; Müller, Stefan 13 2007 Large time existence for thin vibrating plates. Zbl 1247.74019 Abels, Helmut; Mora, Maria Giovanna; Müller, Stefan 13 2011 Repulsive interaction of Néel walls, and the internal length scale of the cross-tie wall. Zbl 1059.82046 DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix 13 2003 Sobolev maps with integer degree and applications to Skyrme’s problem. Zbl 0757.49010 Esteban, Maria J.; Müller, Stefan 13 1992 Combined effects of homogenization and singular perturbations in elasticity. Zbl 0802.35007 Francfort, G. A.; Müller, S. 13 1994 Korn inequalities for incompatible tensor fields in three space dimensions with conformally invariant dislocation energy. Zbl 1471.35009 Lewintan, Peter; Müller, Stefan; Neff, Patrizio 13 2021 Rank-one convex functions on \(2\times 2\) symmetric matrices and laminates on rank-three lines. Zbl 1135.26301 Conti, S.; Faraco, D.; Maggi, F.; Müller, S. 12 2005 Convergence of equilibria of planar thin elastic beams. Zbl 1125.74026 Mora, M. G.; Müller, S.; Schultz, M. G. 12 2007 Data-driven finite elasticity. Zbl 1437.35654 Conti, S.; Müller, S.; Ortiz, M. 12 2020 Radial symmetry and decay rate of variational ground states in the zero mass case. Zbl 0908.35005 Flucher, M.; Müller, S. 11 1998 Striped periodic minimizers of a two-dimensional model for martensitic phase transitions. Zbl 1448.74082 Giuliani, Alessandro; Müller, Stefan 11 2012 Global existence of wave maps in 1+2 dimensions with finite energy data. Zbl 0896.35086 Müller, Stefan; Struwe, Michael 11 1996 Energy bounds for a compressed elastic film on a substrate. Zbl 1387.74069 Bourne, David P.; Conti, Sergio; Müller, Stefan 11 2017 Derivation of a rod theory for biphase materials with dislocations at the interface. Zbl 1274.74064 Müller, Stefan; Palombaro, Mariapia 11 2013 Existence of minimizers for a polyconvex energy in a crystal with dislocations. Zbl 1134.74015 Müller, Stefan; Palombaro, Mariapia 10 2008 Weak convergence of wave maps from \((1+2)\)-dimensional Minkowski space to Riemannian manifolds. Zbl 0906.35061 Freire, Alexandre; Müller, Stefan; Struwe, Michael 10 1997 Compensated compactness, separately convex functions and interpolatory estimates between Riesz transforms and Haar projections. Zbl 1230.49009 Lee, Jihoon; Müller, Paul F. X.; Müller, Stefan 10 2011 Sharp stability results for almost conformal maps in even dimensions. Zbl 0966.35016 Müller, Stefan; Šverák, Vladimir; Yan, Baisheng 10 1999 Mathematical problems in thin elastic sheets: scaling limits, packing, crumpling and singularities. Zbl 1372.35003 Müller, Stefan 9 2017 Estimates for the Green’s function of the discrete Bilaplacian in dimensions 2 and 3. Zbl 1422.65324 Müller, Stefan; Schweiger, Florian 9 2019 The two-well problem in three dimensions. Zbl 0956.74039 Dolzmann, Georg; Kirchheim, Bernd; Müller, Stefan; Šverák, Vladimir 8 2000 Relaxation and regularization of nonconvex variational problems. Zbl 0819.49014 Kohn, Robert V.; Müller, Stefan 8 1992 Derivation of strain-gradient plasticity from a generalized Peierls-Nabarro model. Zbl 1519.74009 Conti, Sergio; Garroni, Adriana; Müller, Stefan 2 2023 A new decomposition of the graph Laplacian and the binomial structure of mass-action systems. Zbl 1519.05158 Müller, Stefan 1 2023 Korn inequalities for incompatible tensor fields in three space dimensions with conformally invariant dislocation energy. Zbl 1471.35009 Lewintan, Peter; Müller, Stefan; Neff, Patrizio 13 2021 Data-driven finite elasticity. Zbl 1437.35654 Conti, S.; Müller, S.; Ortiz, M. 12 2020 Symmetric div-quasiconvexity and the relaxation of static problems. Zbl 1434.74010 Conti, S.; Müller, S.; Ortiz, M. 7 2020 Local strong solutions to a quasilinear degenerate fourth-order thin-film equation. Zbl 1445.35198 Lienstromberg, Christina; Müller, Stefan 5 2020 Optimal-order finite difference approximation of generalized solutions to the biharmonic equation in a cube. Zbl 1471.65172 Müller, Stefan; Schweiger, Florian; Süli, Endre 3 2020 Estimates for the Green’s function of the discrete Bilaplacian in dimensions 2 and 3. Zbl 1422.65324 Müller, Stefan; Schweiger, Florian 9 2019 Data-driven problems in elasticity. Zbl 1402.35276 Conti, S.; Müller, S.; Ortiz, M. 39 2018 Energy bounds for a compressed elastic film on a substrate. Zbl 1387.74069 Bourne, David P.; Conti, Sergio; Müller, Stefan 11 2017 Mathematical problems in thin elastic sheets: scaling limits, packing, crumpling and singularities. Zbl 1372.35003 Müller, Stefan 9 2017 Homogenization of vector-valued partition problems and dislocation cell structures in the plane. Zbl 1469.74095 Conti, Sergio; Garroni, Adriana; Müller, Stefan 2 2017 On the optimal constants in Korn’s and geometric rigidity estimates in bounded and unbounded domains, under Neumann boundary conditions. Zbl 1405.74010 Lewicka, Marta; Müller, Stefan 15 2016 Dislocation microstructures and strain-gradient plasticity with one active slip plane. Zbl 1482.74137 Conti, Sergio; Garroni, Adriana; Müller, Stefan 5 2016 Gradient theory for geometrically nonlinear plasticity via the homogenization of dislocations. Zbl 1456.74018 Müller, Stefan; Scardia, Lucia; Zeppieri, Caterina Ida 7 2015 Microstructure in plasticity, a comparison between theory and experiment. Zbl 1370.74026 Dmitrieva, Olga; Raabe, Dierk; Müller, Stefan; Dondl, Patrick W. 3 2015 Korn’s second inequality and geometric rigidity with mixed growth conditions. Zbl 1295.35369 Conti, Sergio; Dolzmann, Georg; Müller, Stefan 23 2014 Conical singularities in thin elastic sheets. Zbl 1285.49031 Müller, Stefan; Olbermann, Heiner 16 2014 Confined structures of least bending energy. Zbl 1296.53127 Müller, Stefan; Röger, Matthias 8 2014 On a differential inclusion related to the Born-Infeld equations. Zbl 1301.35226 Müller, Stefan; Palombaro, Mariapia 6 2014 Almost conical deformations of thin sheets with rotational symmetry. Zbl 1290.49087 Müller, Stefan; Olbermann, Heiner 6 2014 Derivation of a rod theory for biphase materials with dislocations at the interface. Zbl 1274.74064 Müller, Stefan; Palombaro, Mariapia 11 2013 Finite range decomposition for families of gradient Gaussian measures. Zbl 1263.60047 Adams, Stefan; Kotecký, Roman; Müller, Stefan 8 2013 Striped periodic minimizers of a two-dimensional model for martensitic phase transitions. Zbl 1448.74082 Giuliani, Alessandro; Müller, Stefan 11 2012 The uniform Korn-Poincaré inequality in thin domains. Zbl 1253.74055 Lewicka, Marta; Müller, Stefan 26 2011 The time-dependent von Kármán plate equation as a limit of 3d nonlinear elasticity. Zbl 1346.74110 Abels, Helmut; Mora, Maria Giovanna; Müller, Stefan 25 2011 Singular kernels, multiscale decomposition of microstructure, and dislocation models. Zbl 1251.74006 Conti, Sergio; Garroni, Adriana; Müller, Stefan 22 2011 The div-curl lemma for sequences whose divergence and curl are compact in \(W^{-1,1}\). Zbl 1235.46034 Conti, Sergio; Dolzmann, Georg; Müller, Stefan 17 2011 On the commutability of homogenization and linearization in finite elasticity. Zbl 1262.74029 Müller, Stefan; Neukamm, Stefan 16 2011 Large time existence for thin vibrating plates. Zbl 1247.74019 Abels, Helmut; Mora, Maria Giovanna; Müller, Stefan 13 2011 Compensated compactness, separately convex functions and interpolatory estimates between Riesz transforms and Haar projections. Zbl 1230.49009 Lee, Jihoon; Müller, Paul F. X.; Müller, Stefan 10 2011 Monotone curves. Zbl 1238.46017 Kirchheim, Bernd; Kopecká, Eva; Müller, Stefan 2 2011 Stability of slender bodies under compression and validity of the von Kármán theory. Zbl 1200.74060 Lecumberry, Myriam; Müller, Stefan 25 2009 Strict convexity of the free energy for a class of non-convex gradient models. Zbl 1173.82010 Cotar, Codina; Deuschel, Jean-Dominique; Müller, Stefan 21 2009 Do projections stay close together? Zbl 1160.51016 Kirchheim, Bernd; Kopecká, Eva; Müller, Stefan 2 2009 Convergence of equilibria of thin elastic plates – the von Kármán case. Zbl 1141.74034 Müller, S.; Pakzad, M. R. 19 2008 Convergence of equilibria of three-dimensional thin elastic beams. Zbl 1142.74022 Mora, M. G.; Müller, S. 18 2008 Existence of minimizers for a polyconvex energy in a crystal with dislocations. Zbl 1134.74015 Müller, Stefan; Palombaro, Mariapia 10 2008 Rigorous derivation of Föppl’s theory for clamped elastic membranes leads to relaxation. Zbl 1146.74025 Conti, Sergio; Maggi, Francesco; Müller, Stefan 13 2007 Convergence of equilibria of planar thin elastic beams. Zbl 1125.74026 Mora, M. G.; Müller, S.; Schultz, M. G. 12 2007 Derivation of a rod theory for multiphase materials. Zbl 1105.74016 Mora, Maria Giovanna; Müller, Stefan 7 2007 Scaling of the energy for thin martensitic films. Zbl 1108.74039 Chaudhuri, Nirmalendu; Müller, Stefan 5 2007 A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence. Zbl 1100.74039 Friesecke, Gero; James, Richard D.; Müller, Stefan 225 2006 A variational model for dislocations in the line tension limit. Zbl 1158.74365 Garroni, Adriana; Müller, Stefan 66 2006 Recent analytical developments in micromagnetics. Zbl 1151.35426 DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix 50 2006 Lower semicontinuity and existence of minimizers in incremental finite-strain elastoplasticity. Zbl 1102.74006 Mielke, Alexander; Müller, Stefan 42 2006 Sufficient conditions for the validity of the Cauchy-Born rule close to \(\mathrm{SO}(n)\). Zbl 1146.74006 Conti, Sergio; Dolzmann, Georg; Kirchheim, Bernd; Müller, Stefan 27 2006 A \(C^{0}\) estimate for nearly umbilical surfaces. Zbl 1100.53005 De Lellis, Camillo; Müller, Stefan 23 2006 \(\Gamma\)-limit of a phase-field model of dislocations. Zbl 1094.82008 Garroni, A.; Müller, S. 69 2005 Optimal rigidity estimates for nearly umbilical surfaces. Zbl 1087.53004 de Lellis, Camillo; Müller, Stefan 47 2005 Regularity properties of isometric immersions. Zbl 1082.58010 Müller, Stefan; Pakzad, Mohammad Reza 21 2005 Parabolic systems with nowhere smooth solutions. Zbl 1116.35059 Müller, Stefan; Rieger, Marc Oliver; Šverák, Vladimír 15 2005 Rank-one convex functions on \(2\times 2\) symmetric matrices and laminates on rank-three lines. Zbl 1135.26301 Conti, S.; Faraco, D.; Maggi, F.; Müller, S. 12 2005 Self-similar folding patterns and energy scaling in compressed elastic sheets. Zbl 1082.74030 Conti, Sergio; DeSimone, Antonio; Müller, Stefan 5 2005 A nonlinear model for inextensible rods as a low energy \(\varGamma\)-limit of three-dimensional nonlinear elasticity. Zbl 1109.74028 Mora, Maria Giovanna; Müller, Stefan 34 2004 On the \(\Gamma\)-convergence of discrete dynamics and variational integrators. Zbl 1136.37350 Müller, S.; Ortiz, M. 22 2004 \(\mathcal A\)-quasiconvexity: weak-star convergence and the gap. Zbl 1064.49016 Fonseca, Irene; Leoni, Giovanni; Müller, Stefan 18 2004 Rigidity estimate for two incompatible wells. Zbl 1086.49010 Chaudhuri, Nirmalendu; Müller, Stefan 17 2004 Convex integration for Lipschitz mappings and counterexamples to regularity. Zbl 1083.35032 Müller, S.; Šverák, V. 123 2003 Derivation of nonlinear bending theory for shells from three-dimensional nonlinear elasticity by Gamma-convergence. Zbl 1140.74481 Friesecke, Gero; James, Richard D.; Mora, Maria Giovanna; Müller, Stefan 86 2003 Derivation of the nonlinear bending-torsion theory for inextensible rods by \(\Gamma\)-convergence. Zbl 1053.74027 Mora, Maria Giovanna; Müller, Stefan 58 2003 Studying nonlinear PDE by geometry in matrix space. Zbl 1290.35097 Kirchheim, Bernd; Müller, Stefan; Šverák, Vladimír 55 2003 Repulsive interaction of Néel walls, and the internal length scale of the cross-tie wall. Zbl 1059.82046 DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix 13 2003 Rank-one convexity implies quasi-convexity on certain hypersurfaces. Zbl 1054.49018 Chaudhuri, Nirmalendu; Müller, Stefan 5 2003 Multiscale modeling of materials – the role of analysis. Zbl 1065.74056 Conti, 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 1050.49010 Conti, Sergio; De Lellis, Camillo; Müller, Stefan; Romeo, Mario 3 2003 Concentration phenomena for the volume functional in unbounded domains: identification of concentration points. Zbl 1161.49305 Garroni, A.; Müller, S. 1 2003 A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity. Zbl 1021.74024 Friesecke, Gero; James, Richard D.; Müller, Stefan 367 2002 A reduced theory for thin-film micromagnetics. Zbl 1027.82042 DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix 72 2002 Energy scaling of compressed elastic films – three-dimensional elasticity and reduced theories. Zbl 1041.74048 Ben Belgacem, Hafedh; Conti, Sergio; DeSimone, Antonio; Müller, Stefan 39 2002 Rigorous derivation of nonlinear plate theory and geometric rigidity. Zbl 1012.74043 Friesecke, Gero; Müller, Stefan; James, Richard D. 34 2002 Local stress regularity in scalar nonconvex variational problems. Zbl 1012.49027 Carstensen, Carsten; Müller, Stefan 28 2002 The Föppl-von Kármán plate theory as a low energy \(\Gamma\)-limit of nonlinear elasticity. Zbl 1041.74043 Friesecke, Gero; James, Richard D.; Müller, Stefan 26 2002 Concentration of low energy extremals: Identification of concentration points. Zbl 1004.35040 Flucher, M.; Garroni, A.; Müller, S. 8 2002 Discrete-to-continuum limit of magnetic forces. Zbl 1038.74018 Müller, Stefan; Schlömerkemper, Anja 7 2002 A compactness result in the gradient theory of phase transitions. Zbl 0986.49009 DeSimone, Antonio; Müller, Stefan; Kohn, Robert V.; Otto, Felix 56 2001 A new approach to variational problems with multiple scales. Zbl 1021.49012 Alberti, Giovanni; Müller, Stefan 39 2001 Optimal existence theorems for nonhomogeneous differential inclusions. Zbl 0989.49012 Müller, S.; Sychev, M. A. 36 2001 Two-dimensional modelling of soft ferromagnetic films. Zbl 1065.74028 DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix; Schäfer, Rudolf 16 2001 Uniqueness and maximal regularity for nonlinear elliptic systems of \(n\)-Laplace type with measure valued right hand side. Zbl 0937.35065 Dolzmann, Georg; Hungerbühler, Norbert; Müller, Stefan 59 2000 Rigourous bounds for the Föppl-von Kármán theory of isotropically compressed plates. Zbl 1015.74029 Ben Belgacem, H.; Conti, S.; DeSimone, A.; Müller, S. 29 2000 Magnetic microstructures – a paradigm of multiscale problems. Zbl 0991.82038 DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix 26 2000 The two-well problem in three dimensions. Zbl 0956.74039 Dolzmann, Georg; Kirchheim, Bernd; Müller, Stefan; Šverák, Vladimir 8 2000 Quasiconvexity is not invariant under transposition. Zbl 0980.49017 Müller, Stefan 7 2000 Variational models for microstructure and phase transitions. Zbl 0968.74050 Müller, Stefan 175 1999 \(\mathcal A\)-quasiconvexity, lower semicontinuity, and Young measures. Zbl 0940.49014 Fonseca, Irene; Müller, Stefan 145 1999 Convex integration with constraints and applications to phase transitions and partial differential equations. Zbl 0953.35042 Müller, S.; Šverák, V. 64 1999 Rank-one convexity implies quasiconvexity on diagonal matrices. Zbl 1055.49506 Müller, Stefan 42 1999 A sharp version of Zhang’s theorem on truncating sequences of gradients. Zbl 0942.49013 Müller, Stefan 19 1999 Sharp stability results for almost conformal maps in even dimensions. Zbl 0966.35016 Müller, Stefan; Šverák, Vladimir; Yan, Baisheng 10 1999 Concentration of low energy extremals. Zbl 0938.35042 Flucher, M.; Müller, S. 7 1999 An isoperimetric estimate and \(W^{1,p}\)-quasiconvexity in nonlinear elasticity. Zbl 0929.74013 Müller, Stefan; Sivaloganathan, Jeyabal; Spector, Scott J. 7 1999 Analysis of concentration and oscillation effects generated by gradients. Zbl 0920.49009 Fonseca, Irene; Müller, Stefan; Pedregal, Pablo 79 1998 Unexpected solutions of first and second order partial differential equations. Zbl 0896.35029 Müller, Stefan; Šverák, Vladimir 21 1998 Weak compactness of wave maps and harmonic maps. Zbl 0924.58011 Freire, Alexandre; Müller, Stefan; Struwe, Michael 14 1998 Radial symmetry and decay rate of variational ground states in the zero mass case. Zbl 0908.35005 Flucher, M.; Müller, S. 11 1998 Spatially discrete wave maps on (1+2)-dimensional space-time. Zbl 0933.58020 Müller, Stefan; Struwe, Michael 3 1998 Microstructures, phase transitions and geometry. Zbl 0908.49014 Müller, Stefan 2 1998 Nonlinear elliptic systems with measure-valued right hand side. Zbl 0895.35029 Dolzmann, Georg; Hungerbühler, Norbert; Müller, Stefan 57 1997 The \(p\)-harmonic system with measure-valued right hand side. Zbl 0879.35052 Dolzmann, Georg; Hungerbühler, Norbert; Müller, Stefan 30 1997 ...and 34 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,234 Authors 80 Conti, Sergio 61 Müller, Stefan 38 Fonseca, Irene 37 Ortiz, Michael 32 Kružík, Martin 27 Ciarlet, Philippe Gaston 26 Braides, Andrea 26 Iwaniec, Tadeusz 26 Neff, Patrizio 25 Dolzmann, Georg 24 Mardare, Cristinel 23 Hornung, Peter 23 Yang, Dachun 22 Garroni, Adriana 22 Otto, Felix 21 Bartels, Sören 21 Pedregal, Pablo 20 Ignat, Radu 20 Mingione, Giuseppe 20 Yan, Baisheng 19 DeSimone, Antonio 19 Mora, Maria Giovanna 19 Paroni, Roberto 19 Stefanelli, Ulisse 18 Lewicka, Marta 18 Mora-Corral, Carlos 18 Ponte Castañeda, Pedro 18 Schmidt, Bernd 17 Azroul, Elhoussine 17 De Lellis, Camillo 17 Friedrich, Manuel 17 Harutyunyan, Davit 17 Henao, Duvan A. 17 Kohn, Robert Vita 17 Onninen, Jani 17 Rindler, Filip 17 Velčić, Igor 17 Zappale, Elvira 16 Balaadich, Farah 16 De Philippis, Guido 16 Pruchnicki, Erick 16 Rivière, Tristan 16 Rüland, Angkana 16 Székelyhidi, László jun. 15 Fusco, Nicola 15 Kristensen, Jan 15 Krömer, Stefan 15 Lopez-Pamies, Oscar 15 Zhang, Kewei 14 Carstensen, Carsten 14 Faraco, Daniel 14 Ponsiglione, Marcello 14 Schlömerkemper, Anja 13 Dacorogna, Bernard 13 Hencl, Stanislav 13 Kreisbeck, Carolin 13 Mielke, Alexander 13 Muratov, Cyrill B. 13 Neukamm, Stefan 13 Olbermann, Heiner 13 Zeppieri, Caterina Ida 13 Zwicknagl, Barbara Maria 12 Cianchi, Andrea 12 Dal Maso, Gianni 12 Davoli, Elisa 12 Griso, Georges 12 James, Richard D. 12 Leoni, Giovanni 12 Miehe, Christian 12 Palombaro, Mariapia 12 Serfaty, Sylvia 12 Spector, Scott J. 11 Cicalese, Marco 11 Francfort, Gilles A. 11 Gwiazda, Piotr 11 Knüpfer, Hans 11 Lorent, Andrew 11 Maggi, Francesco 11 Malý, Jan 11 Schikorra, Armin 10 Babadjian, Jean-François 10 Blanchard, Dominique 10 De Luca, Lucia 10 Dondl, Patrick Werner 10 Focardi, Matteo 10 Gloria, Antoine 10 Kim, Seick 10 Mandallena, Jean-Philippe 10 Roubíček, Tomáš 10 Rumpf, Martin 10 Steigmann, David J. 10 Tione, Riccardo 10 Triantafyllidis, Nicolas 10 Wang, Bixiang 9 Alicandro, Roberto 9 Bella, Peter 9 Bevan, Jonathan J. 9 Chambolle, Antonin 9 Friesecke, Gero 9 Gaudiello, Antonio ...and 2,134 more Authors all top 5 Cited in 308 Serials 214 Archive for Rational Mechanics and Analysis 179 Calculus of Variations and Partial Differential Equations 101 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 87 Nonlinear Analysis. 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Real World Applications 6 Networks and Heterogeneous Media 5 Mathematics of Computation 5 Journal für die Reine und Angewandte Mathematik 5 Mathematische Nachrichten 5 Chinese Annals of Mathematics. Series B 5 Probability Theory and Related Fields 5 Revista Matemática Iberoamericana 5 Applied Mathematics Letters 5 Journal of the American Mathematical Society 5 Journal of Scientific Computing 5 Potential Analysis 5 Revista Matemática Complutense 5 Discrete and Continuous Dynamical Systems. Series B 5 Advanced Nonlinear Studies 5 Nonlinear Analysis. Theory, Methods & Applications 4 Computers & Mathematics with Applications 4 International Journal of Solids and Structures ...and 208 more Serials all top 5 Cited in 53 Fields 1,128 Partial differential equations (35-XX) 1,117 Mechanics of deformable solids (74-XX) 836 Calculus of variations and optimal control; optimization (49-XX) 236 Statistical mechanics, structure of matter (82-XX) 185 Differential geometry (53-XX) 183 Functional analysis (46-XX) 151 Fluid mechanics (76-XX) 134 Numerical analysis (65-XX) 131 Real functions (26-XX) 90 Global analysis, analysis on manifolds (58-XX) 77 Probability theory and stochastic processes (60-XX) 72 Functions of a complex variable (30-XX) 71 Operator theory (47-XX) 65 Optics, electromagnetic theory (78-XX) 64 Harmonic analysis on Euclidean spaces (42-XX) 56 Measure and integration (28-XX) 40 Potential theory (31-XX) 37 Dynamical systems and ergodic theory (37-XX) 34 Convex and discrete geometry (52-XX) 26 Biology and other natural sciences (92-XX) 24 Ordinary differential equations (34-XX) 21 Mechanics of particles and systems (70-XX) 19 Computer science (68-XX) 19 Quantum theory (81-XX) 15 Classical thermodynamics, heat transfer (80-XX) 12 General and overarching topics; collections (00-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 11 Operations research, mathematical programming (90-XX) 11 Systems theory; control (93-XX) 10 Integral equations (45-XX) 10 Manifolds and cell complexes (57-XX) 9 Approximations and expansions (41-XX) 9 Relativity and gravitational theory (83-XX) 8 Information and communication theory, circuits (94-XX) 7 Difference and functional equations (39-XX) 7 Geophysics (86-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 History and biography (01-XX) 6 Algebraic topology (55-XX) 6 Statistics (62-XX) 5 Combinatorics (05-XX) 5 Several complex variables and analytic spaces (32-XX) 3 Abstract harmonic analysis (43-XX) 2 Commutative algebra (13-XX) 2 Special functions (33-XX) 2 Geometry (51-XX) 2 General topology (54-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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