Edit Profile (opens in new tab) Müller, Stefan Compute Distance To: Compute 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: 139 Publications since 1987 5 Contributions as Editor · 1 Further Contribution Co-Authors: 74 Co-Authors with 122 Joint Publications 2,010 Co-Co-Authors all top 5 Co-Authors 21 single-authored 17 Conti, Sergio 11 Dolzmann, Georg 11 Šverák, Vladimír 10 DeSimone, Antonio 9 Mora, Maria Giovanna 8 James, Richard D. 8 Kohn, Robert Vita 7 Garroni, Adriana 7 Otto, Felix 6 Fonseca, Irene 5 Friesecke, Gero 5 Kirchheim, Bernd 5 Struwe, Michael 4 Ortiz, Michael 4 Spector, Scott J. 3 Abels, Helmut 3 Ball, John MacLeod 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 Ben Belgacem, Hafedh 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 Adams, Stefan 1 Alberti, Giovanni 1 Bourne, David P. 1 Carstensen, Carsten 1 Cotar, Codina 1 Dacorogna, Bernard 1 Deuschel, Jean-Dominique 1 Dmitrieva, Olga 1 Dondl, Patrick Werner 1 Esteban, Maria J. 1 Faraco, Daniel 1 Francfort, Gilles A. 1 Fusco, Nicola 1 Giuliani, Alessandro 1 Koop, Andreas 1 Kotecký, Roman 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 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 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 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 The Journal of Symplectic Geometry 1 Multiscale Modeling & Simulation 1 GAMM-Mitteilungen 1 Lecture Notes in Mathematics 1 Bollettino dell’Unione Matematica Italiana all top 5 Fields 76 Mechanics of deformable solids (74-XX) 57 Partial differential equations (35-XX) 51 Calculus of variations and optimal control; optimization (49-XX) 16 Statistical mechanics, structure of matter (82-XX) 12 Functional analysis (46-XX) 8 Real functions (26-XX) 7 General and overarching topics; collections (00-XX) 7 Differential geometry (53-XX) 7 Global analysis, analysis on manifolds (58-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 132 Publications have been cited 4,111 times in 2,332 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 342 2002 A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence. Zbl 1100.74039Friesecke, Gero; James, Richard D.; Müller, Stefan 208 2006 Variational models for microstructure and phase transitions. Zbl 0968.74050Müller, Stefan 135 1999 \(\mathcal A\)-quasiconvexity, lower semicontinuity, and Young measures. Zbl 0940.49014Fonseca, Irene; Müller, Stefan 124 1999 Homogenization of nonconvex integral functionals and cellular elastic materials. Zbl 0629.73009Müller, Stefan 120 1987 Convex integration for Lipschitz mappings and counterexamples to regularity. Zbl 1083.35032Müller, S.; Šverák, V. 114 2003 Homogenization of nonlinearly elastic materials, microscopic bifurcation and macroscopic loss of rank-one convexity. Zbl 0801.73008Geymonat, Giuseppe; Müller, Stefan; Triantafyllidis, Nicolas 102 1993 Surface energy and microstructure in coherent phase transitions. Zbl 0803.49007Kohn, Robert V.; Müller, Stefan 100 1994 An existence theory for nonlinear elasticity that allows for cavitation. Zbl 0836.73025Müller, Stefan; Spector, Scott J. 96 1995 A uniqueness proof for the Wulff theorem. Zbl 0752.49019Fonseca, Irene; Müller, Stefan 90 1991 Higher integrability of determinants and weak convergence in \(L^ 1\). Zbl 0713.49004Müller, Stefan 87 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 82 2003 Quasi-convex integrands and lower semicontinuity in \(L^ 1\). Zbl 0764.49012Fonseca, Irene; Müller, Stefan 78 1992 Analysis of concentration and oscillation effects generated by gradients. Zbl 0920.49009Fonseca, Irene; Müller, Stefan; Pedregal, Pablo 76 1998 Relaxation of quasiconvex functionals in \(BV(\Omega, \mathbb{R}^ N)\) for integrands \(f(x, u, \bigtriangledown u)\). Zbl 0788.49039Fonseca, Irene; Müller, Stefan 74 1993 Singular perturbations as a selection criterion for periodic minimizing sequences. Zbl 0821.49015Müller, Stefan 68 1993 On a new class of elastic deformations not allowing for cavitation. Zbl 0863.49002Müller, S.; Qi, Tang; Yan, B. S. 67 1994 \(\Gamma\)-limit of a phase-field model of dislocations. Zbl 1094.82008Garroni, A.; Müller, S. 65 2005 A reduced theory for thin-film micromagnetics. Zbl 1027.82042DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix 63 2002 Convex integration with constraints and applications to phase transitions and partial differential equations. Zbl 0953.35042Müller, S.; Šverák, V. 60 1999 A variational model for dislocations in the line tension limit. Zbl 1158.74365Garroni, Adriana; Müller, Stefan 58 2006 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 54 2000 Derivation of the nonlinear bending-torsion theory for inextensible rods by \(\Gamma\)-convergence. Zbl 1053.74027Mora, Maria Giovanna; Müller, Stefan 54 2003 A compactness result in the gradient theory of phase transitions. Zbl 0986.49009DeSimone, Antonio; Müller, Stefan; Kohn, Robert V.; Otto, Felix 53 2001 Optimal rigidity estimates for nearly umbilical surfaces. Zbl 1087.53004de Lellis, Camillo; Müller, Stefan 47 2005 Nonlinear elliptic systems with measure-valued right hand side. Zbl 0895.35029Dolzmann, Georg; Hungerbühler, Norbert; Müller, Stefan 46 1997 Studying nonlinear PDE by geometry in matrix space. Zbl 1290.35097Kirchheim, Bernd; Müller, Stefan; Šverák, Vladimír 45 2003 Recent analytical developments in micromagnetics. Zbl 1151.35426DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix 45 2006 Estimates for Green’s matrices of elliptic systems by \(L^ p\) theory. Zbl 0846.35040Dolzmann, G.; Müller, S. 45 1995 Det\(=\det\). A remark on the distributional determinant. Zbl 0717.46033Müller, Stefan 44 1990 On surfaces of finite total curvature. Zbl 0853.53003Müller, S.; Šverák, V. 44 1995 Microstructures with finite surface energy: The two-well problem. Zbl 0846.73054Dolzmann, Georg; Müller, Stefan 43 1995 Attainment results for the two-well problem by convex integration. Zbl 0930.35038Müller, Stefan; Šverák, Vladimir 42 1996 Hardy spaces and the two-dimensional Euler equations with nonnegative vorticity. Zbl 0802.35120Evans, L. C.; Müller, S. 38 1994 Lower semicontinuity and existence of minimizers in incremental finite-strain elastoplasticity. Zbl 1102.74006Mielke, Alexander; Müller, Stefan 38 2006 Rank-one convexity implies quasiconvexity on diagonal matrices. Zbl 1055.49506Müller, Stefan 37 1999 Energy scaling of compressed elastic films – three-dimensional elasticity and reduced theories. Zbl 1041.74048Ben Belgacem, Hafedh; Conti, Sergio; DeSimone, Antonio; Müller, Stefan 37 2002 A new approach to variational problems with multiple scales. Zbl 1021.49012Alberti, Giovanni; Müller, Stefan 37 2001 Optimal existence theorems for nonhomogeneous differential inclusions. Zbl 0989.49012Müller, S.; Sychev, M. A. 35 2001 Rigorous derivation of nonlinear plate theory and geometric rigidity. Zbl 1012.74043Friesecke, Gero; Müller, Stefan; James, Richard D. 34 2002 Invertibility and a topological property of Sobolev maps. Zbl 0855.73028Müller, Stefan; Spector, Scott J.; Tang, Qi 30 1996 Rigourous bounds for the Föppl-von Kármán theory of isotropically compressed plates. Zbl 1015.74029Ben Belgacem, H.; Conti, S.; DeSimone, A.; Müller, S. 29 2000 Data-driven problems in elasticity. Zbl 1402.35276Conti, S.; Müller, S.; Ortiz, M. 28 2018 A nonlinear model for inextensible rods as a low energy \(\varGamma\)-limit of three-dimensional nonlinear elasticity. Zbl 1109.74028Mora, Maria Giovanna; Müller, Stefan 27 2004 The \(p\)-harmonic system with measure-valued right hand side. Zbl 0879.35052Dolzmann, Georg; Hungerbühler, Norbert; Müller, Stefan 26 1997 Weak continuity of determinants and nonlinear elasticity. (Continuité faible des déterminants et applications à l’élasticité non linéaire). Zbl 0679.34051Müller, Stefan 26 1988 Magnetic microstructures – a paradigm of multiscale problems. Zbl 0991.82038DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix 26 2000 The uniform Korn-Poincaré inequality in thin domains. Zbl 1253.74055Lewicka, Marta; Müller, Stefan 25 2011 Local stress regularity in scalar nonconvex variational problems. Zbl 1012.49027Carstensen, Carsten; Müller, Stefan 25 2002 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 24 2002 Hardy space methods for nonlinear partial differential equations. Zbl 0811.35025Müller, Stefan 23 1994 A \(C^{0}\) estimate for nearly umbilical surfaces. Zbl 1100.53005De Lellis, Camillo; Müller, Stefan 23 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 22 2006 Regularity properties of isometric immersions. Zbl 1082.58010Müller, Stefan; Pakzad, Mohammad Reza 20 2005 Unexpected solutions of first and second order partial differential equations. Zbl 0896.35029Müller, Stefan; Šverák, Vladimir 20 1998 On the \(\Gamma\)-convergence of discrete dynamics and variational integrators. Zbl 1136.37350Müller, S.; Ortiz, M. 20 2004 On quasiconvex functions which are homogeneous of degree 1. Zbl 0736.26006Müller, Stefan 20 1992 Internal variables and fine-scale oscillations in micromagnetics. Zbl 0814.73054James, R. D.; Müller, Stefan 19 1994 The time-dependent von Kármán plate equation as a limit of 3d nonlinear elasticity. Zbl 1346.74110Abels, Helmut; Mora, Maria Giovanna; Müller, Stefan 19 2011 Singular kernels, multiscale decomposition of microstructure, and dislocation models. Zbl 1251.74006Conti, Sergio; Garroni, Adriana; Müller, Stefan 19 2011 Stability of slender bodies under compression and validity of the von Kármán theory. Zbl 1200.74060Lecumberry, Myriam; Müller, Stefan 19 2009 On the singular support of the distributional determinant. Zbl 0792.46027Müller, Stefan 18 1993 Convergence of equilibria of three-dimensional thin elastic beams. Zbl 1142.74022Mora, M. G.; Müller, S. 18 2008 A sharp version of Zhang’s theorem on truncating sequences of gradients. Zbl 0942.49013Müller, Stefan 17 1999 Convergence of equilibria of thin elastic plates – the von Kármán case. Zbl 1141.74034Müller, S.; Pakzad, M. R. 17 2008 The div-curl lemma for sequences whose divergence and curl are compact in \(W^{-1,1}\). Zbl 1235.46034Conti, Sergio; Dolzmann, Georg; Müller, Stefan 16 2011 Rigidity estimate for two incompatible wells. Zbl 1086.49010Chaudhuri, Nirmalendu; Müller, Stefan 16 2004 \(\mathcal A\)-quasiconvexity: weak-star convergence and the gap. Zbl 1064.49016Fonseca, Irene; Leoni, Giovanni; Müller, Stefan 16 2004 Two-dimensional modelling of soft ferromagnetic films. Zbl 1065.74028DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix; Schäfer, Rudolf 16 2001 Korn’s second inequality and geometric rigidity with mixed growth conditions. Zbl 1295.35369Conti, Sergio; Dolzmann, Georg; Müller, Stefan 16 2014 Conical singularities in thin elastic sheets. Zbl 1285.49031Müller, Stefan; Olbermann, Heiner 15 2014 Strict convexity of the free energy for a class of non-convex gradient models. Zbl 1173.82010Cotar, Codina; Deuschel, Jean-Dominique; Müller, Stefan 15 2009 Parabolic systems with nowhere smooth solutions. Zbl 1116.35059Müller, Stefan; Rieger, Marc Oliver; Šverák, Vladimír 14 2005 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 13 2016 Sobolev maps with integer degree and applications to Skyrme’s problem. Zbl 0757.49010Esteban, Maria J.; Müller, Stefan 13 1992 The influence of surface energy on stress-free microstructures in shape memory alloys. Zbl 0835.73061Dolzmann, Georg; Müller, Stefan 12 1995 Combined effects of homogenization and singular perturbations in elasticity. Zbl 0802.35007Francfort, G. A.; Müller, S. 12 1994 Weak compactness of wave maps and harmonic maps. Zbl 0924.58011Freire, Alexandre; Müller, Stefan; Struwe, Michael 12 1998 On the commutability of homogenization and linearization in finite elasticity. Zbl 1262.74029Müller, Stefan; Neukamm, Stefan 12 2011 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 12 2003 Rigorous derivation of Föppl’s theory for clamped elastic membranes leads to relaxation. Zbl 1146.74025Conti, Sergio; Maggi, Francesco; Müller, Stefan 12 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. 12 2005 Convergence of equilibria of planar thin elastic beams. Zbl 1125.74026Mora, M. G.; Müller, S.; Schultz, M. G. 11 2007 Global existence of wave maps in 1+2 dimensions with finite energy data. Zbl 0896.35086Müller, Stefan; Struwe, Michael 10 1996 Weak convergence of wave maps from \((1+2)\)-dimensional Minkowski space to Riemannian manifolds. Zbl 0906.35061Freire, Alexandre; Müller, Stefan; Struwe, Michael 10 1997 Radial symmetry and decay rate of variational ground states in the zero mass case. Zbl 0908.35005Flucher, M.; Müller, S. 10 1998 Large time existence for thin vibrating plates. Zbl 1247.74019Abels, Helmut; Mora, Maria Giovanna; Müller, Stefan 10 2011 Data-driven finite elasticity. Zbl 1437.35654Conti, S.; Müller, S.; Ortiz, M. 10 2020 Striped periodic minimizers of a two-dimensional model for martensitic phase transitions. Zbl 1448.74082Giuliani, Alessandro; Müller, Stefan 9 2012 Existence of minimizers for a polyconvex energy in a crystal with dislocations. Zbl 1134.74015Müller, Stefan; Palombaro, Mariapia 9 2008 Sharp stability results for almost conformal maps in even dimensions. Zbl 0966.35016Müller, Stefan; Šverák, Vladimir; Yan, Baisheng 9 1999 Derivation of a rod theory for biphase materials with dislocations at the interface. Zbl 1274.74064Müller, Stefan; Palombaro, Mariapia 9 2013 Confined structures of least bending energy. Zbl 1296.53127Müller, Stefan; Röger, Matthias 9 2014 The two-well problem in three dimensions. Zbl 0956.74039Dolzmann, Georg; Kirchheim, Bernd; Müller, Stefan; Šverák, Vladimir 8 2000 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 Energy bounds for a compressed elastic film on a substrate. Zbl 1387.74069Bourne, David P.; Conti, Sergio; Müller, Stefan 8 2017 Mathematical problems in thin elastic sheets: scaling limits, packing, crumpling and singularities. Zbl 1372.35003Müller, Stefan 8 2017 Concentration of low energy extremals: Identification of concentration points. Zbl 1004.35040Flucher, M.; Garroni, A.; Müller, S. 8 2002 Estimates for the Green’s function of the discrete Bilaplacian in dimensions 2 and 3. Zbl 1422.65324Müller, Stefan; Schweiger, Florian 8 2019 Korn inequalities for incompatible tensor fields in three space dimensions with conformally invariant dislocation energy. Zbl 1471.35009Lewintan, Peter; Müller, Stefan; Neff, Patrizio 7 2021 Data-driven finite elasticity. Zbl 1437.35654Conti, S.; Müller, S.; Ortiz, M. 10 2020 Optimal-order finite difference approximation of generalized solutions to the biharmonic equation in a cube. Zbl 1471.65172Müller, Stefan; Schweiger, Florian; Süli, Endre 3 2020 Symmetric div-quasiconvexity and the relaxation of static problems. Zbl 1434.74010Conti, S.; Müller, S.; Ortiz, M. 3 2020 Local strong solutions to a quasilinear degenerate fourth-order thin-film equation. Zbl 1445.35198Lienstromberg, Christina; Müller, Stefan 2 2020 Estimates for the Green’s function of the discrete Bilaplacian in dimensions 2 and 3. Zbl 1422.65324Müller, Stefan; Schweiger, Florian 8 2019 Data-driven problems in elasticity. Zbl 1402.35276Conti, S.; Müller, S.; Ortiz, M. 28 2018 Energy bounds for a compressed elastic film on a substrate. Zbl 1387.74069Bourne, David P.; Conti, Sergio; Müller, Stefan 8 2017 Mathematical problems in thin elastic sheets: scaling limits, packing, crumpling and singularities. Zbl 1372.35003Müller, Stefan 8 2017 Homogenization of vector-valued partition problems and dislocation cell structures in the plane. Zbl 1469.74095Conti, 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 13 2016 Dislocation microstructures and strain-gradient plasticity with one active slip plane. Zbl 1482.74137Conti, Sergio; Garroni, Adriana; Müller, Stefan 1 2016 Gradient theory for geometrically nonlinear plasticity via the homogenization of dislocations. Zbl 1456.74018Müller, Stefan; Scardia, Lucia; Zeppieri, Caterina Ida 4 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 16 2014 Conical singularities in thin elastic sheets. Zbl 1285.49031Müller, Stefan; Olbermann, Heiner 15 2014 Confined structures of least bending energy. Zbl 1296.53127Müller, Stefan; Röger, Matthias 9 2014 On a differential inclusion related to the Born-Infeld equations. Zbl 1301.35226Müller, Stefan; Palombaro, Mariapia 6 2014 Almost conical deformations of thin sheets with rotational symmetry. Zbl 1290.49087Müller, Stefan; Olbermann, Heiner 6 2014 Derivation of a rod theory for biphase materials with dislocations at the interface. Zbl 1274.74064Müller, Stefan; Palombaro, Mariapia 9 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 9 2012 The uniform Korn-Poincaré inequality in thin domains. Zbl 1253.74055Lewicka, Marta; Müller, Stefan 25 2011 The time-dependent von Kármán plate equation as a limit of 3d nonlinear elasticity. Zbl 1346.74110Abels, Helmut; Mora, Maria Giovanna; Müller, Stefan 19 2011 Singular kernels, multiscale decomposition of microstructure, and dislocation models. Zbl 1251.74006Conti, Sergio; Garroni, Adriana; Müller, Stefan 19 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 16 2011 On the commutability of homogenization and linearization in finite elasticity. Zbl 1262.74029Müller, Stefan; Neukamm, Stefan 12 2011 Large time existence for thin vibrating plates. Zbl 1247.74019Abels, Helmut; Mora, Maria Giovanna; Müller, Stefan 10 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 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 19 2009 Strict convexity of the free energy for a class of non-convex gradient models. Zbl 1173.82010Cotar, Codina; Deuschel, Jean-Dominique; Müller, Stefan 15 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. 18 2008 Convergence of equilibria of thin elastic plates – the von Kármán case. Zbl 1141.74034Müller, S.; Pakzad, M. R. 17 2008 Existence of minimizers for a polyconvex energy in a crystal with dislocations. Zbl 1134.74015Müller, Stefan; Palombaro, Mariapia 9 2008 Rigorous derivation of Föppl’s theory for clamped elastic membranes leads to relaxation. Zbl 1146.74025Conti, Sergio; Maggi, Francesco; Müller, Stefan 12 2007 Convergence of equilibria of planar thin elastic beams. Zbl 1125.74026Mora, M. G.; Müller, S.; Schultz, M. G. 11 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 208 2006 A variational model for dislocations in the line tension limit. Zbl 1158.74365Garroni, Adriana; Müller, Stefan 58 2006 Recent analytical developments in micromagnetics. Zbl 1151.35426DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix 45 2006 Lower semicontinuity and existence of minimizers in incremental finite-strain elastoplasticity. Zbl 1102.74006Mielke, Alexander; Müller, Stefan 38 2006 A \(C^{0}\) estimate for nearly umbilical surfaces. Zbl 1100.53005De Lellis, Camillo; Müller, Stefan 23 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 22 2006 \(\Gamma\)-limit of a phase-field model of dislocations. Zbl 1094.82008Garroni, A.; Müller, S. 65 2005 Optimal rigidity estimates for nearly umbilical surfaces. Zbl 1087.53004de Lellis, Camillo; Müller, Stefan 47 2005 Regularity properties of isometric immersions. Zbl 1082.58010Müller, Stefan; Pakzad, Mohammad Reza 20 2005 Parabolic systems with nowhere smooth solutions. Zbl 1116.35059Müller, Stefan; Rieger, Marc Oliver; Šverák, Vladimír 14 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. 12 2005 Self-similar folding patterns and energy scaling in compressed elastic sheets. Zbl 1082.74030Conti, 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 1109.74028Mora, Maria Giovanna; Müller, Stefan 27 2004 On the \(\Gamma\)-convergence of discrete dynamics and variational integrators. Zbl 1136.37350Müller, S.; Ortiz, M. 20 2004 Rigidity estimate for two incompatible wells. Zbl 1086.49010Chaudhuri, Nirmalendu; Müller, Stefan 16 2004 \(\mathcal A\)-quasiconvexity: weak-star convergence and the gap. Zbl 1064.49016Fonseca, Irene; Leoni, Giovanni; Müller, Stefan 16 2004 Convex integration for Lipschitz mappings and counterexamples to regularity. Zbl 1083.35032Müller, S.; Šverák, V. 114 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 82 2003 Derivation of the nonlinear bending-torsion theory for inextensible rods by \(\Gamma\)-convergence. Zbl 1053.74027Mora, Maria Giovanna; Müller, Stefan 54 2003 Studying nonlinear PDE by geometry in matrix space. Zbl 1290.35097Kirchheim, Bernd; Müller, Stefan; Šverák, Vladimír 45 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 12 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 3 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 342 2002 A reduced theory for thin-film micromagnetics. Zbl 1027.82042DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix 63 2002 Energy scaling of compressed elastic films – three-dimensional elasticity and reduced theories. Zbl 1041.74048Ben Belgacem, Hafedh; Conti, Sergio; DeSimone, Antonio; Müller, Stefan 37 2002 Rigorous derivation of nonlinear plate theory and geometric rigidity. Zbl 1012.74043Friesecke, Gero; Müller, Stefan; James, Richard D. 34 2002 Local stress regularity in scalar nonconvex variational problems. Zbl 1012.49027Carstensen, Carsten; Müller, Stefan 25 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 24 2002 Concentration of low energy extremals: Identification of concentration points. Zbl 1004.35040Flucher, M.; Garroni, A.; Müller, S. 8 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 53 2001 A new approach to variational problems with multiple scales. Zbl 1021.49012Alberti, Giovanni; Müller, Stefan 37 2001 Optimal existence theorems for nonhomogeneous differential inclusions. Zbl 0989.49012Müller, S.; Sychev, M. A. 35 2001 Two-dimensional modelling of soft ferromagnetic films. Zbl 1065.74028DeSimone, 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 0937.35065Dolzmann, Georg; Hungerbühler, Norbert; Müller, Stefan 54 2000 Rigourous bounds for the Föppl-von Kármán theory of isotropically compressed plates. Zbl 1015.74029Ben Belgacem, H.; Conti, S.; DeSimone, A.; Müller, S. 29 2000 Magnetic microstructures – a paradigm of multiscale problems. Zbl 0991.82038DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix 26 2000 The two-well problem in three dimensions. Zbl 0956.74039Dolzmann, Georg; Kirchheim, Bernd; Müller, Stefan; Šverák, Vladimir 8 2000 Quasiconvexity is not invariant under transposition. Zbl 0980.49017Müller, Stefan 7 2000 Variational models for microstructure and phase transitions. Zbl 0968.74050Müller, Stefan 135 1999 \(\mathcal A\)-quasiconvexity, lower semicontinuity, and Young measures. Zbl 0940.49014Fonseca, Irene; Müller, Stefan 124 1999 Convex integration with constraints and applications to phase transitions and partial differential equations. Zbl 0953.35042Müller, S.; Šverák, V. 60 1999 Rank-one convexity implies quasiconvexity on diagonal matrices. Zbl 1055.49506Müller, Stefan 37 1999 A sharp version of Zhang’s theorem on truncating sequences of gradients. Zbl 0942.49013Müller, Stefan 17 1999 Sharp stability results for almost conformal maps in even dimensions. Zbl 0966.35016Müller, Stefan; Šverák, Vladimir; Yan, Baisheng 9 1999 Concentration of low energy extremals. Zbl 0938.35042Flucher, M.; Müller, S. 7 1999 An isoperimetric estimate and \(W^{1,p}\)-quasiconvexity in nonlinear elasticity. Zbl 0929.74013Müller, Stefan; Sivaloganathan, Jeyabal; Spector, Scott J. 7 1999 Analysis of concentration and oscillation effects generated by gradients. Zbl 0920.49009Fonseca, Irene; Müller, Stefan; Pedregal, Pablo 76 1998 Unexpected solutions of first and second order partial differential equations. Zbl 0896.35029Müller, Stefan; Šverák, Vladimir 20 1998 Weak compactness of wave maps and harmonic maps. Zbl 0924.58011Freire, Alexandre; Müller, Stefan; Struwe, Michael 12 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 3 1998 Microstructures, phase transitions and geometry. Zbl 0908.49014Müller, Stefan 2 1998 Nonlinear elliptic systems with measure-valued right hand side. Zbl 0895.35029Dolzmann, Georg; Hungerbühler, Norbert; Müller, Stefan 46 1997 The \(p\)-harmonic system with measure-valued right hand side. Zbl 0879.35052Dolzmann, Georg; Hungerbühler, Norbert; Müller, Stefan 26 1997 Weak convergence of wave maps from \((1+2)\)-dimensional Minkowski space to Riemannian manifolds. Zbl 0906.35061Freire, Alexandre; Müller, Stefan; Struwe, Michael 10 1997 Harmonic maps on planar lattices. Zbl 1004.58007Müller, Stefan; Struwe, Michael; Šverák, Vladimir 1 1997 ...and 32 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,049 Authors 73 Conti, Sergio 59 Müller, Stefan 37 Fonseca, Irene 31 Ortiz, Michael 27 Ciarlet, Philippe Gaston 26 Iwaniec, Tadeusz 24 Mardare, Cristinel 23 Braides, Andrea 23 Dolzmann, Georg 23 Kružík, Martin 22 Hornung, Peter 21 Otto, Felix 20 Bartels, Sören 20 Mingione, Giuseppe 20 Yang, Dachun 19 Garroni, Adriana 19 Ignat, Radu 19 Yan, Baisheng 18 DeSimone, Antonio 18 Mora, Maria Giovanna 17 De Lellis, Camillo 17 Harutyunyan, Davit 17 Kohn, Robert Vita 17 Lewicka, Marta 17 Neff, Patrizio 17 Onninen, Jani 17 Paroni, Roberto 17 Ponte Castañeda, Pedro 17 Schmidt, Bernd 17 Stefanelli, Ulisse 17 Velčić, Igor 16 Pedregal, Pablo 16 Pruchnicki, Erick 16 Rivière, Tristan 15 Fusco, Nicola 15 Kristensen, Jan 15 Lopez-Pamies, Oscar 15 Mora-Corral, Carlos 15 Rindler, Filip 15 Zappale, Elvira 15 Zhang, Kewei 14 Carstensen, Carsten 14 De Philippis, Guido 14 Faraco, Daniel 14 Friedrich, Manuel 14 Henao, Duvan A. 14 Rüland, Angkana 14 Schlömerkemper, Anja 14 Székelyhidi, László jun. 13 Azroul, Elhoussine 13 Dacorogna, Bernard 13 Kreisbeck, Carolin 13 Krömer, Stefan 13 Mielke, Alexander 13 Ponsiglione, Marcello 13 Sivaloganathan, Jeyabal 12 Cianchi, Andrea 12 Dal Maso, Gianni 12 Griso, Georges 12 Hencl, Stanislav 12 Leoni, Giovanni 12 Malý, Jan 12 Muratov, Cyrill B. 12 Neukamm, Stefan 12 Olbermann, Heiner 12 Palombaro, Mariapia 12 Serfaty, Sylvia 12 Spector, Scott J. 11 Balaadich, Farah 11 James, Richard D. 11 Zwicknagl, Barbara Maria 10 Blanchard, Dominique 10 Cicalese, Marco 10 Davoli, Elisa 10 Focardi, Matteo 10 Francfort, Gilles A. 10 Kim, Seick 10 Lorent, Andrew 10 Miehe, Christian 10 Roubíček, Tomáš 10 Rumpf, Martin 10 Steigmann, David J. 10 Triantafyllidis, Nicolas 10 Zeppieri, Caterina Ida 9 Alicandro, Roberto 9 Bella, Peter 9 Bevan, Jonathan J. 9 Friesecke, Gero 9 Gaudiello, Antonio 9 Gloria, Antoine 9 Guerra, André 9 Kim, Seonghak 9 Maggi, Francesco 9 Mandallena, Jean-Philippe 9 Marcellini, Paolo 9 Moser, Roger 9 Pakzad, Mohammad Reza 9 Schikorra, Armin 8 Agostiniani, Virginia 8 Babadjian, Jean-François ...and 1,949 more Authors all top 5 Cited in 289 Serials 200 Archive for Rational Mechanics and Analysis 157 Calculus of Variations and Partial Differential Equations 99 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 80 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 69 Journal of the Mechanics and Physics of Solids 69 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 65 Journal of Elasticity 53 Computer Methods in Applied Mechanics and Engineering 53 Journal of Differential Equations 53 Journal de Mathématiques Pures et Appliquées. Neuvième Série 52 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 52 SIAM Journal on Mathematical Analysis 48 Comptes Rendus. Mathématique. Académie des Sciences, Paris 44 Journal of Nonlinear Science 44 Mathematics and Mechanics of Solids 43 Journal of Functional Analysis 36 Journal of Mathematical Analysis and Applications 28 Advances in Calculus of Variations 26 Communications in Mathematical Physics 25 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 24 The Journal of Geometric Analysis 23 Communications on Pure and Applied Mathematics 20 Proceedings of the American Mathematical Society 19 Continuum Mechanics and Thermodynamics 17 Mathematische Annalen 16 Transactions of the American Mathematical Society 16 Communications in Partial Differential Equations 15 NoDEA. Nonlinear Differential Equations and Applications 14 Advances in Mathematics 14 Annali di Matematica Pura ed Applicata. Serie Quarta 14 Physica D 13 Applicable Analysis 13 Journal of Computational Physics 13 Inventiones Mathematicae 13 Communications on Pure and Applied Analysis 12 Mathematical Methods in the Applied Sciences 12 Manuscripta Mathematica 12 Bulletin of the American Mathematical Society. New Series 12 Journal of the European Mathematical Society (JEMS) 12 Communications in Contemporary Mathematics 12 Analysis and Applications (Singapore) 12 Discrete and Continuous Dynamical Systems. Series S 11 ZAMP. Zeitschrift für angewandte Mathematik und Physik 10 International Journal of Engineering Science 10 Journal of Mathematical Physics 10 Journal of Statistical Physics 10 Applied Mathematics and Optimization 10 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 9 Nonlinearity 9 Ricerche di Matematica 9 SIAM Journal on Numerical Analysis 9 Computational Mechanics 9 Discrete and Continuous Dynamical Systems 9 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 8 Journal d’Analyse Mathématique 8 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 8 Meccanica 8 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 8 European Journal of Mechanics. A. Solids 8 GAMM-Mitteilungen 8 Analysis & PDE 8 Science China. 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Series B 5 Revista Matemática Iberoamericana 5 Journal of the American Mathematical Society 5 Journal of Scientific Computing 5 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 5 Journal of Mathematical Fluid Mechanics 5 Interfaces and Free Boundaries 5 Nonlinear Analysis. Theory, Methods & Applications 4 Computers & Mathematics with Applications 4 International Journal of Solids and Structures 4 Annals of Global Analysis and Geometry 4 Probability Theory and Related Fields 4 Applied Mathematics Letters 4 Asymptotic Analysis 4 Potential Analysis 4 Revista Matemática Complutense 4 Annals of Mathematics. Second Series 4 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 4 Discrete and Continuous Dynamical Systems. Series B ...and 189 more Serials all top 5 Cited in 51 Fields 1,013 Mechanics of deformable solids (74-XX) 1,010 Partial differential equations (35-XX) 773 Calculus of variations and optimal control; optimization (49-XX) 214 Statistical mechanics, structure of matter (82-XX) 171 Differential geometry (53-XX) 159 Functional analysis (46-XX) 132 Fluid mechanics (76-XX) 121 Real functions (26-XX) 121 Numerical analysis (65-XX) 88 Global analysis, analysis on manifolds (58-XX) 69 Functions of a complex variable (30-XX) 62 Probability theory and stochastic processes (60-XX) 61 Optics, electromagnetic theory (78-XX) 60 Operator theory (47-XX) 58 Harmonic analysis on Euclidean spaces (42-XX) 52 Measure and integration (28-XX) 38 Potential theory (31-XX) 30 Dynamical systems and ergodic theory (37-XX) 29 Convex and discrete geometry (52-XX) 22 Ordinary differential equations (34-XX) 21 Biology and other natural sciences (92-XX) 19 Mechanics of particles and systems (70-XX) 17 Quantum theory (81-XX) 16 Computer science (68-XX) 13 Classical thermodynamics, heat transfer (80-XX) 11 Operations research, mathematical programming (90-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 10 Approximations and expansions (41-XX) 9 General and overarching topics; collections (00-XX) 9 Manifolds and cell complexes (57-XX) 9 Systems theory; control (93-XX) 8 Integral equations (45-XX) 8 Relativity and gravitational theory (83-XX) 8 Information and communication theory, circuits (94-XX) 6 Difference and functional equations (39-XX) 6 Algebraic topology (55-XX) 6 Statistics (62-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Geophysics (86-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 History and biography (01-XX) 3 Combinatorics (05-XX) 3 Abstract harmonic analysis (43-XX) 2 Geometry (51-XX) 2 General topology (54-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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