## Müller, Stefan

Compute Distance To:
 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: 138 Publications since 1987 5 Contributions as Editor · 1 Further Contribution Co-Authors: 74 Co-Authors with 122 Joint Publications 1,949 Co-Co-Authors
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### Co-Authors

 20 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
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### 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 Multiscale Modeling & Simulation 1 GAMM-Mitteilungen 1 Lecture Notes in Mathematics 1 Bollettino dell’Unione Matematica Italiana
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### 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 Global analysis, analysis on manifolds (58-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)

### Citations contained in zbMATH Open

131 Publications have been cited 3,780 times in 2,192 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
2002
A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence. Zbl 1100.74039
Friesecke, Gero; James, Richard D.; Müller, Stefan
2006
Variational models for microstructure and phase transitions. Zbl 0968.74050
Müller, Stefan
1999
Homogenization of nonconvex integral functionals and cellular elastic materials. Zbl 0629.73009
Müller, Stefan
1987
$$\mathcal A$$-quasiconvexity, lower semicontinuity, and Young measures. Zbl 0940.49014
Fonseca, Irene; Müller, Stefan
1999
Homogenization of nonlinearly elastic materials, microscopic bifurcation and macroscopic loss of rank-one convexity. Zbl 0801.73008
Geymonat, Giuseppe; Müller, Stefan; Triantafyllidis, Nicolas
1993
Convex integration for Lipschitz mappings and counterexamples to regularity. Zbl 1083.35032
Müller, S.; Šverák, V.
2003
Surface energy and microstructure in coherent phase transitions. Zbl 0803.49007
Kohn, Robert V.; Müller, Stefan
1994
An existence theory for nonlinear elasticity that allows for cavitation. Zbl 0836.73025
Müller, Stefan; Spector, Scott J.
1995
Higher integrability of determinants and weak convergence in $$L^ 1$$. Zbl 0713.49004
Müller, Stefan
1990
A uniqueness proof for the Wulff theorem. Zbl 0752.49019
Fonseca, Irene; Müller, Stefan
1991
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
2003
Quasi-convex integrands and lower semicontinuity in $$L^ 1$$. Zbl 0764.49012
Fonseca, Irene; Müller, Stefan
1992
Analysis of concentration and oscillation effects generated by gradients. Zbl 0920.49009
Fonseca, Irene; Müller, Stefan; Pedregal, Pablo
1998
Relaxation of quasiconvex functionals in $$BV(\Omega, \mathbb{R}^ N)$$ for integrands $$f(x, u, \bigtriangledown u)$$. Zbl 0788.49039
Fonseca, Irene; Müller, Stefan
1993
Singular perturbations as a selection criterion for periodic minimizing sequences. Zbl 0821.49015
Müller, Stefan
1993
$$\Gamma$$-limit of a phase-field model of dislocations. Zbl 1094.82008
Garroni, A.; Müller, S.
2005
On a new class of elastic deformations not allowing for cavitation. Zbl 0863.49002
Müller, S.; Qi, Tang; Yan, B. S.
1994
A reduced theory for thin-film micromagnetics. Zbl 1027.82042
DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix
2002
Convex integration with constraints and applications to phase transitions and partial differential equations. Zbl 0953.35042
Müller, S.; Šverák, V.
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
2000
A variational model for dislocations in the line tension limit. Zbl 1158.74365
2006
Derivation of the nonlinear bending-torsion theory for inextensible rods by $$\Gamma$$-convergence. Zbl 1053.74027
Mora, Maria Giovanna; Müller, Stefan
2003
A compactness result in the gradient theory of phase transitions. Zbl 0986.49009
DeSimone, Antonio; Müller, Stefan; Kohn, Robert V.; Otto, Felix
2001
Det$$=\det$$. A remark on the distributional determinant. Zbl 0717.46033
Müller, Stefan
1990
Optimal rigidity estimates for nearly umbilical surfaces. Zbl 1087.53004
de Lellis, Camillo; Müller, Stefan
2005
Microstructures with finite surface energy: The two-well problem. Zbl 0846.73054
Dolzmann, Georg; Müller, Stefan
1995
Estimates for Green’s matrices of elliptic systems by $$L^ p$$ theory. Zbl 0846.35040
Dolzmann, G.; Müller, S.
1995
Studying nonlinear PDE by geometry in matrix space. Zbl 1290.35097
Kirchheim, Bernd; Müller, Stefan; Šverák, Vladimír
2003
Nonlinear elliptic systems with measure-valued right hand side. Zbl 0895.35029
Dolzmann, Georg; Hungerbühler, Norbert; Müller, Stefan
1997
Recent analytical developments in micromagnetics. Zbl 1151.35426
DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix
2006
Attainment results for the two-well problem by convex integration. Zbl 0930.35038
1996
On surfaces of finite total curvature. Zbl 0853.53003
Müller, S.; Šverák, V.
1995
A new approach to variational problems with multiple scales. Zbl 1021.49012
Alberti, Giovanni; Müller, Stefan
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
2002
Lower semicontinuity and existence of minimizers in incremental finite-strain elastoplasticity. Zbl 1102.74006
Mielke, Alexander; Müller, Stefan
2006
Optimal existence theorems for nonhomogeneous differential inclusions. Zbl 0989.49012
Müller, S.; Sychev, M. A.
2001
Hardy spaces and the two-dimensional Euler equations with nonnegative vorticity. Zbl 0802.35120
Evans, L. C.; Müller, S.
1994
Rigorous derivation of nonlinear plate theory and geometric rigidity. Zbl 1012.74043
Friesecke, Gero; Müller, Stefan; James, Richard D.
2002
Rank-one convexity implies quasiconvexity on diagonal matrices. Zbl 1055.49506
Müller, Stefan
1999
Rigourous bounds for the Föppl-von Kármán theory of isotropically compressed plates. Zbl 1015.74029
Ben Belgacem, H.; Conti, S.; DeSimone, A.; Müller, S.
2000
Invertibility and a topological property of Sobolev maps. Zbl 0855.73028
Müller, Stefan; Spector, Scott J.; Tang, Qi
1996
Weak continuity of determinants and nonlinear elasticity. (Continuité faible des déterminants et applications à l’élasticité non linéaire). Zbl 0679.34051
Müller, Stefan
1988
Local stress regularity in scalar nonconvex variational problems. Zbl 1012.49027
Carstensen, Carsten; Müller, Stefan
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
2004
The $$p$$-harmonic system with measure-valued right hand side. Zbl 0879.35052
Dolzmann, Georg; Hungerbühler, Norbert; Müller, Stefan
1997
Magnetic microstructures – a paradigm of multiscale problems. Zbl 0991.82038
DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix
2000
The uniform Korn-Poincaré inequality in thin domains. Zbl 1253.74055
Lewicka, Marta; Müller, Stefan
2011
A surprising higher integrability property of mappings with positive determinant. Zbl 0689.49006
Müller, Stefan
1989
Data-driven problems in elasticity. Zbl 1402.35276
Conti, S.; Müller, S.; Ortiz, M.
2018
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
2002
Hardy space methods for nonlinear partial differential equations. Zbl 0811.35025
Müller, Stefan
1994
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
2006
Regularity properties of isometric immersions. Zbl 1082.58010
2005
A $$C^{0}$$ estimate for nearly umbilical surfaces. Zbl 1100.53005
De Lellis, Camillo; Müller, Stefan
2006
Internal variables and fine-scale oscillations in micromagnetics. Zbl 0814.73054
James, R. D.; Müller, Stefan
1994
Unexpected solutions of first and second order partial differential equations. Zbl 0896.35029
1998
Singular kernels, multiscale decomposition of microstructure, and dislocation models. Zbl 1251.74006
Conti, Sergio; Garroni, Adriana; Müller, Stefan
2011
Stability of slender bodies under compression and validity of the von Kármán theory. Zbl 1200.74060
Lecumberry, Myriam; Müller, Stefan
2009
On quasiconvex functions which are homogeneous of degree 1. Zbl 0736.26006
Müller, Stefan
1992
On the $$\Gamma$$-convergence of discrete dynamics and variational integrators. Zbl 1136.37350
Müller, S.; Ortiz, M.
2004
Convergence of equilibria of three-dimensional thin elastic beams. Zbl 1142.74022
Mora, M. G.; Müller, S.
2008
On the singular support of the distributional determinant. Zbl 0792.46027
Müller, Stefan
1993
A sharp version of Zhang’s theorem on truncating sequences of gradients. Zbl 0942.49013
Müller, Stefan
1999
The time-dependent von Kármán plate equation as a limit of 3d nonlinear elasticity. Zbl 1346.74110
Abels, Helmut; Mora, Maria Giovanna; Müller, Stefan
2011
Convergence of equilibria of thin elastic plates – the von Kármán case. Zbl 1141.74034
2008
Two-dimensional modelling of soft ferromagnetic films. Zbl 1065.74028
DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix; Schäfer, Rudolf
2001
Rigidity estimate for two incompatible wells. Zbl 1086.49010
Chaudhuri, Nirmalendu; Müller, Stefan
2004
Conical singularities in thin elastic sheets. Zbl 1285.49031
Müller, Stefan; Olbermann, Heiner
2014
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
2011
Korn’s second inequality and geometric rigidity with mixed growth conditions. Zbl 1295.35369
Conti, Sergio; Dolzmann, Georg; Müller, Stefan
2014
Strict convexity of the free energy for a class of non-convex gradient models. Zbl 1173.82010
Cotar, Codina; Deuschel, Jean-Dominique; Müller, Stefan
2009
Parabolic systems with nowhere smooth solutions. Zbl 1116.35059
Müller, Stefan; Rieger, Marc Oliver; Šverák, Vladimír
2005
Sobolev maps with integer degree and applications to Skyrme’s problem. Zbl 0757.49010
Esteban, Maria J.; Müller, Stefan
1992
$$\mathcal A$$-quasiconvexity: weak-star convergence and the gap. Zbl 1064.49016
Fonseca, Irene; Leoni, Giovanni; Müller, Stefan
2004
Weak compactness of wave maps and harmonic maps. Zbl 0924.58011
Freire, Alexandre; Müller, Stefan; Struwe, Michael
1998
The influence of surface energy on stress-free microstructures in shape memory alloys. Zbl 0835.73061
Dolzmann, Georg; Müller, Stefan
1995
Rigorous derivation of Föppl’s theory for clamped elastic membranes leads to relaxation. Zbl 1146.74025
Conti, Sergio; Maggi, Francesco; Müller, Stefan
2007
Convergence of equilibria of planar thin elastic beams. Zbl 1125.74026
Mora, M. G.; Müller, S.; Schultz, M. G.
2007
Combined effects of homogenization and singular perturbations in elasticity. Zbl 0802.35007
Francfort, G. A.; Müller, S.
1994
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
2003
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.
2005
Global existence of wave maps in 1+2 dimensions with finite energy data. Zbl 0896.35086
Müller, Stefan; Struwe, Michael
1996
Weak convergence of wave maps from $$(1+2)$$-dimensional Minkowski space to Riemannian manifolds. Zbl 0906.35061
Freire, Alexandre; Müller, Stefan; Struwe, Michael
1997
Radial symmetry and decay rate of variational ground states in the zero mass case. Zbl 0908.35005
Flucher, M.; Müller, S.
1998
On the commutability of homogenization and linearization in finite elasticity. Zbl 1262.74029
Müller, Stefan; Neukamm, Stefan
2011
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
2016
Large time existence for thin vibrating plates. Zbl 1247.74019
Abels, Helmut; Mora, Maria Giovanna; Müller, Stefan
2011
Concentration of low energy extremals: Identification of concentration points. Zbl 1004.35040
Flucher, M.; Garroni, A.; Müller, S.
2002
Sharp stability results for almost conformal maps in even dimensions. Zbl 0966.35016
Müller, Stefan; Šverák, Vladimir; Yan, Baisheng
1999
The two-well problem in three dimensions. Zbl 0956.74039
Dolzmann, Georg; Kirchheim, Bernd; Müller, Stefan; Šverák, Vladimir
2000
Striped periodic minimizers of a two-dimensional model for martensitic phase transitions. Zbl 1448.74082
Giuliani, Alessandro; Müller, Stefan
2012
Existence of minimizers for a polyconvex energy in a crystal with dislocations. Zbl 1134.74015
Müller, Stefan; Palombaro, Mariapia
2008
Mathematical problems in thin elastic sheets: scaling limits, packing, crumpling and singularities. Zbl 1372.35003
Müller, Stefan
2017
Concentration of low energy extremals. Zbl 0938.35042
Flucher, M.; Müller, S.
1999
An isoperimetric estimate and $$W^{1,p}$$-quasiconvexity in nonlinear elasticity. Zbl 0929.74013
Müller, Stefan; Sivaloganathan, Jeyabal; Spector, Scott J.
1999
Confined structures of least bending energy. Zbl 1296.53127
Müller, Stefan; Röger, Matthias
2014
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
2011
Derivation of a rod theory for biphase materials with dislocations at the interface. Zbl 1274.74064
Müller, Stefan; Palombaro, Mariapia
2013
Data-driven finite elasticity. Zbl 1437.35654
Conti, S.; Müller, S.; Ortiz, M.
2020
Korn inequalities for incompatible tensor fields in three space dimensions with conformally invariant dislocation energy. Zbl 1471.35009
Lewintan, Peter; Müller, Stefan; Neff, Patrizio
2021
Data-driven finite elasticity. Zbl 1437.35654
Conti, S.; Müller, S.; Ortiz, M.
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
2020
Local strong solutions to a quasilinear degenerate fourth-order thin-film equation. Zbl 1445.35198
Lienstromberg, Christina; Müller, Stefan
2020
Symmetric div-quasiconvexity and the relaxation of static problems. Zbl 1434.74010
Conti, S.; Müller, S.; Ortiz, M.
2020
Estimates for the Green’s function of the discrete Bilaplacian in dimensions 2 and 3. Zbl 1422.65324
Müller, Stefan; Schweiger, Florian
2019
Data-driven problems in elasticity. Zbl 1402.35276
Conti, S.; Müller, S.; Ortiz, M.
2018
Mathematical problems in thin elastic sheets: scaling limits, packing, crumpling and singularities. Zbl 1372.35003
Müller, Stefan
2017
Energy bounds for a compressed elastic film on a substrate. Zbl 1387.74069
Bourne, David P.; Conti, Sergio; Müller, Stefan
2017
Homogenization of vector-valued partition problems and dislocation cell structures in the plane. Zbl 1469.74095
Conti, Sergio; Garroni, Adriana; Müller, Stefan
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
2016
Gradient theory for geometrically nonlinear plasticity via the homogenization of dislocations. Zbl 1456.74018
Müller, Stefan; Scardia, Lucia; Zeppieri, Caterina Ida
2015
Microstructure in plasticity, a comparison between theory and experiment. Zbl 1370.74026
Dmitrieva, Olga; Raabe, Dierk; Müller, Stefan; Dondl, Patrick W.
2015
Conical singularities in thin elastic sheets. Zbl 1285.49031
Müller, Stefan; Olbermann, Heiner
2014
Korn’s second inequality and geometric rigidity with mixed growth conditions. Zbl 1295.35369
Conti, Sergio; Dolzmann, Georg; Müller, Stefan
2014
Confined structures of least bending energy. Zbl 1296.53127
Müller, Stefan; Röger, Matthias
2014
Almost conical deformations of thin sheets with rotational symmetry. Zbl 1290.49087
Müller, Stefan; Olbermann, Heiner
2014
On a differential inclusion related to the Born-Infeld equations. Zbl 1301.35226
Müller, Stefan; Palombaro, Mariapia
2014
Derivation of a rod theory for biphase materials with dislocations at the interface. Zbl 1274.74064
Müller, Stefan; Palombaro, Mariapia
2013
Finite range decomposition for families of gradient Gaussian measures. Zbl 1263.60047
Adams, Stefan; Kotecký, Roman; Müller, Stefan
2013
Striped periodic minimizers of a two-dimensional model for martensitic phase transitions. Zbl 1448.74082
Giuliani, Alessandro; Müller, Stefan
2012
The uniform Korn-Poincaré inequality in thin domains. Zbl 1253.74055
Lewicka, Marta; Müller, Stefan
2011
Singular kernels, multiscale decomposition of microstructure, and dislocation models. Zbl 1251.74006
Conti, Sergio; Garroni, Adriana; Müller, Stefan
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
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
2011
On the commutability of homogenization and linearization in finite elasticity. Zbl 1262.74029
Müller, Stefan; Neukamm, Stefan
2011
Large time existence for thin vibrating plates. Zbl 1247.74019
Abels, Helmut; Mora, Maria Giovanna; Müller, Stefan
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
2011
Monotone curves. Zbl 1238.46017
Kirchheim, Bernd; Kopecká, Eva; Müller, Stefan
2011
Stability of slender bodies under compression and validity of the von Kármán theory. Zbl 1200.74060
Lecumberry, Myriam; Müller, Stefan
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
2009
Do projections stay close together? Zbl 1160.51016
Kirchheim, Bernd; Kopecká, Eva; Müller, Stefan
2009
Convergence of equilibria of three-dimensional thin elastic beams. Zbl 1142.74022
Mora, M. G.; Müller, S.
2008
Convergence of equilibria of thin elastic plates – the von Kármán case. Zbl 1141.74034
2008
Existence of minimizers for a polyconvex energy in a crystal with dislocations. Zbl 1134.74015
Müller, Stefan; Palombaro, Mariapia
2008
Rigorous derivation of Föppl’s theory for clamped elastic membranes leads to relaxation. Zbl 1146.74025
Conti, Sergio; Maggi, Francesco; Müller, Stefan
2007
Convergence of equilibria of planar thin elastic beams. Zbl 1125.74026
Mora, M. G.; Müller, S.; Schultz, M. G.
2007
Derivation of a rod theory for multiphase materials. Zbl 1105.74016
Mora, Maria Giovanna; Müller, Stefan
2007
Scaling of the energy for thin martensitic films. Zbl 1108.74039
Chaudhuri, Nirmalendu; Müller, Stefan
2007
A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence. Zbl 1100.74039
Friesecke, Gero; James, Richard D.; Müller, Stefan
2006
A variational model for dislocations in the line tension limit. Zbl 1158.74365
2006
Recent analytical developments in micromagnetics. Zbl 1151.35426
DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix
2006
Lower semicontinuity and existence of minimizers in incremental finite-strain elastoplasticity. Zbl 1102.74006
Mielke, Alexander; Müller, Stefan
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
2006
A $$C^{0}$$ estimate for nearly umbilical surfaces. Zbl 1100.53005
De Lellis, Camillo; Müller, Stefan
2006
$$\Gamma$$-limit of a phase-field model of dislocations. Zbl 1094.82008
Garroni, A.; Müller, S.
2005
Optimal rigidity estimates for nearly umbilical surfaces. Zbl 1087.53004
de Lellis, Camillo; Müller, Stefan
2005
Regularity properties of isometric immersions. Zbl 1082.58010
2005
Parabolic systems with nowhere smooth solutions. Zbl 1116.35059
Müller, Stefan; Rieger, Marc Oliver; Šverák, Vladimír
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.
2005
Self-similar folding patterns and energy scaling in compressed elastic sheets. Zbl 1082.74030
Conti, Sergio; DeSimone, Antonio; Müller, Stefan
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
2004
On the $$\Gamma$$-convergence of discrete dynamics and variational integrators. Zbl 1136.37350
Müller, S.; Ortiz, M.
2004
Rigidity estimate for two incompatible wells. Zbl 1086.49010
Chaudhuri, Nirmalendu; Müller, Stefan
2004
$$\mathcal A$$-quasiconvexity: weak-star convergence and the gap. Zbl 1064.49016
Fonseca, Irene; Leoni, Giovanni; Müller, Stefan
2004
Convex integration for Lipschitz mappings and counterexamples to regularity. Zbl 1083.35032
Müller, S.; Šverák, V.
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
2003
Derivation of the nonlinear bending-torsion theory for inextensible rods by $$\Gamma$$-convergence. Zbl 1053.74027
Mora, Maria Giovanna; Müller, Stefan
2003
Studying nonlinear PDE by geometry in matrix space. Zbl 1290.35097
Kirchheim, Bernd; Müller, Stefan; Šverák, Vladimír
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
2003
Rank-one convexity implies quasi-convexity on certain hypersurfaces. Zbl 1054.49018
Chaudhuri, Nirmalendu; Müller, Stefan
2003
Multiscale modeling of materials – the role of analysis. Zbl 1065.74056
Conti, Sergio; DeSimone, Antonio; Dolzmann, Georg; Müller, Stefan; Otto, Felix
2003
Concentration phenomena for the volume functional in unbounded domains: identification of concentration points. Zbl 1161.49305
Garroni, A.; Müller, S.
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
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
2002
A reduced theory for thin-film micromagnetics. Zbl 1027.82042
DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix
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
2002
Rigorous derivation of nonlinear plate theory and geometric rigidity. Zbl 1012.74043
Friesecke, Gero; Müller, Stefan; James, Richard D.
2002
Local stress regularity in scalar nonconvex variational problems. Zbl 1012.49027
Carstensen, Carsten; Müller, Stefan
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
2002
Concentration of low energy extremals: Identification of concentration points. Zbl 1004.35040
Flucher, M.; Garroni, A.; Müller, S.
2002
Discrete-to-continuum limit of magnetic forces. Zbl 1038.74018
Müller, Stefan; Schlömerkemper, Anja
2002
A compactness result in the gradient theory of phase transitions. Zbl 0986.49009
DeSimone, Antonio; Müller, Stefan; Kohn, Robert V.; Otto, Felix
2001
A new approach to variational problems with multiple scales. Zbl 1021.49012
Alberti, Giovanni; Müller, Stefan
2001
Optimal existence theorems for nonhomogeneous differential inclusions. Zbl 0989.49012
Müller, S.; Sychev, M. A.
2001
Two-dimensional modelling of soft ferromagnetic films. Zbl 1065.74028
DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix; Schäfer, Rudolf
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
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.
2000
Magnetic microstructures – a paradigm of multiscale problems. Zbl 0991.82038
DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix
2000
The two-well problem in three dimensions. Zbl 0956.74039
Dolzmann, Georg; Kirchheim, Bernd; Müller, Stefan; Šverák, Vladimir
2000
Quasiconvexity is not invariant under transposition. Zbl 0980.49017
Müller, Stefan
2000
Variational models for microstructure and phase transitions. Zbl 0968.74050
Müller, Stefan
1999
$$\mathcal A$$-quasiconvexity, lower semicontinuity, and Young measures. Zbl 0940.49014
Fonseca, Irene; Müller, Stefan
1999
Convex integration with constraints and applications to phase transitions and partial differential equations. Zbl 0953.35042
Müller, S.; Šverák, V.
1999
Rank-one convexity implies quasiconvexity on diagonal matrices. Zbl 1055.49506
Müller, Stefan
1999
A sharp version of Zhang’s theorem on truncating sequences of gradients. Zbl 0942.49013
Müller, Stefan
1999
Sharp stability results for almost conformal maps in even dimensions. Zbl 0966.35016
Müller, Stefan; Šverák, Vladimir; Yan, Baisheng
1999
Concentration of low energy extremals. Zbl 0938.35042
Flucher, M.; Müller, S.
1999
An isoperimetric estimate and $$W^{1,p}$$-quasiconvexity in nonlinear elasticity. Zbl 0929.74013
Müller, Stefan; Sivaloganathan, Jeyabal; Spector, Scott J.
1999
Analysis of concentration and oscillation effects generated by gradients. Zbl 0920.49009
Fonseca, Irene; Müller, Stefan; Pedregal, Pablo
1998
Unexpected solutions of first and second order partial differential equations. Zbl 0896.35029
1998
Weak compactness of wave maps and harmonic maps. Zbl 0924.58011
Freire, Alexandre; Müller, Stefan; Struwe, Michael
1998
Radial symmetry and decay rate of variational ground states in the zero mass case. Zbl 0908.35005
Flucher, M.; Müller, S.
1998
Spatially discrete wave maps on (1+2)-dimensional space-time. Zbl 0933.58020
Müller, Stefan; Struwe, Michael
1998
Microstructures, phase transitions and geometry. Zbl 0908.49014
Müller, Stefan
1998
Nonlinear elliptic systems with measure-valued right hand side. Zbl 0895.35029
Dolzmann, Georg; Hungerbühler, Norbert; Müller, Stefan
1997
The $$p$$-harmonic system with measure-valued right hand side. Zbl 0879.35052
Dolzmann, Georg; Hungerbühler, Norbert; Müller, Stefan
1997
Weak convergence of wave maps from $$(1+2)$$-dimensional Minkowski space to Riemannian manifolds. Zbl 0906.35061
Freire, Alexandre; Müller, Stefan; Struwe, Michael
1997
Harmonic maps on planar lattices. Zbl 1004.58007
Müller, Stefan; Struwe, Michael; Šverák, Vladimir
1997
Attainment results for the two-well problem by convex integration. Zbl 0930.35038
1996
...and 31 more Documents
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### Cited by 1,923 Authors

 70 Conti, Sergio 59 Müller, Stefan 35 Fonseca, Irene 30 Ortiz, Michael 27 Ciarlet, Philippe Gaston 25 Iwaniec, Tadeusz 24 Mardare, Cristinel 22 Dolzmann, Georg 22 Kružík, Martin 21 Braides, Andrea 21 Otto, Felix 20 Hornung, Peter 20 Mingione, Giuseppe 19 Garroni, Adriana 19 Yan, Baisheng 19 Yang, Dachun 18 DeSimone, Antonio 18 Ignat, Radu 18 Mora, Maria Giovanna 17 Bartels, Sören 17 De Lellis, Camillo 16 Kohn, Robert Vita 16 Lewicka, Marta 16 Paroni, Roberto 16 Pedregal, Pablo 16 Ponte Castañeda, Pedro 16 Schmidt, Bernd 16 Stefanelli, Ulisse 15 Fusco, Nicola 15 Harutyunyan, Davit 15 Mora-Corral, Carlos 15 Onninen, Jani 15 Pruchnicki, Erick 15 Rindler, Filip 15 Rivière, Tristan 15 Velčić, Igor 15 Zhang, Kewei 14 Carstensen, Carsten 14 Henao, Duvan A. 14 Lopez-Pamies, Oscar 13 De Philippis, Guido 13 Faraco, Daniel 13 Friedrich, Manuel 13 Kristensen, Jan 13 Krömer, Stefan 13 Mielke, Alexander 13 Neff, Patrizio 13 Schlömerkemper, Anja 13 Sivaloganathan, Jeyabal 13 Székelyhidi, László jun. 12 Dacorogna, Bernard 12 Dal Maso, Gianni 12 Griso, Georges 12 Hencl, Stanislav 12 Leoni, Giovanni 12 Malý, Jan 12 Palombaro, Mariapia 12 Ponsiglione, Marcello 12 Serfaty, Sylvia 12 Spector, Scott J. 12 Zappale, Elvira 11 Azroul, Elhoussine 11 Cianchi, Andrea 11 James, Richard D. 11 Muratov, Cyrill B. 11 Neukamm, Stefan 11 Olbermann, Heiner 11 Rüland, Angkana 10 Blanchard, Dominique 10 Focardi, Matteo 10 Kreisbeck, Carolin 10 Miehe, Christian 10 Roubíček, Tomáš 10 Steigmann, David J. 10 Triantafyllidis, Nicolas 10 Zeppieri, Caterina Ida 10 Zwicknagl, Barbara Maria 9 Alicandro, Roberto 9 Balaadich, Farah 9 Bella, Peter 9 Bevan, Jonathan J. 9 Cicalese, Marco 9 Friesecke, Gero 9 Gaudiello, Antonio 9 Gloria, Antoine 9 Kim, Seick 9 Lorent, Andrew 9 Maggi, Francesco 9 Mandallena, Jean-Philippe 9 Marcellini, Paolo 9 Pakzad, Mohammad Reza 9 Rumpf, Martin 9 Schikorra, Armin 8 Agostiniani, Virginia 8 Benešová, Barbora 8 Davoli, Elisa 8 Della Porta, Francesco 8 Francfort, Gilles A. 8 Grabovsky, Yury 8 Jiu, Quansen ...and 1,823 more Authors
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### Cited in 279 Serials

 192 Archive for Rational Mechanics and Analysis 148 Calculus of Variations and Partial Differential Equations 97 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 73 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 69 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 68 Journal of the Mechanics and Physics of Solids 59 Journal of Elasticity 53 Journal de Mathématiques Pures et Appliquées. Neuvième Série 51 Computer Methods in Applied Mechanics and Engineering 51 Journal of Differential Equations 50 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 50 SIAM Journal on Mathematical Analysis 48 Comptes Rendus. Mathématique. Académie des Sciences, Paris 40 Mathematics and Mechanics of Solids 37 Journal of Nonlinear Science 36 Journal of Mathematical Analysis and Applications 36 Journal of Functional Analysis 26 Communications in Mathematical Physics 25 Advances in Calculus of Variations 23 Communications on Pure and Applied Mathematics 23 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 21 The Journal of Geometric Analysis 19 Proceedings of the American Mathematical Society 19 Continuum Mechanics and Thermodynamics 16 Transactions of the American Mathematical Society 15 Communications in Partial Differential Equations 14 Annali di Matematica Pura ed Applicata. Serie Quarta 14 Mathematische Annalen 14 NoDEA. Nonlinear Differential Equations and Applications 13 Advances in Mathematics 13 Physica D 12 Applicable 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 Communications on Pure and Applied Analysis 12 Analysis and Applications (Singapore) 11 Journal of Computational Physics 11 Inventiones Mathematicae 11 Discrete and Continuous Dynamical Systems. Series S 10 International Journal of Engineering Science 10 Applied Mathematics and Optimization 10 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 9 Journal of Mathematical Physics 9 Nonlinearity 9 Ricerche di Matematica 9 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 8 Journal d’Analyse Mathématique 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 SIAM Journal on Numerical Analysis 8 Discrete and Continuous Dynamical Systems 8 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 8 GAMM-Mitteilungen 8 Science China. Mathematics 7 The Annals of Probability 7 Mathematische Zeitschrift 7 Zeitschrift für Analysis und ihre Anwendungen 7 Computational Mechanics 7 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 7 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 6 Duke Mathematical Journal 6 International Journal for Numerical Methods in Engineering 6 Journal of Optimization Theory and Applications 6 Numerische Mathematik 6 Quarterly of Applied Mathematics 6 Acta Mathematicae Applicatae Sinica. English Series 6 European Journal of Mechanics. A. Solids 6 Nonlinear Analysis. Real World Applications 6 Multiscale Modeling & Simulation 5 Mathematics of Computation 5 Journal für die Reine und Angewandte Mathematik 5 Chinese Annals of Mathematics. Series B 5 Revista Matemática Iberoamericana 5 Journal of the American Mathematical Society 5 Journal of Scientific Computing 5 SIAM Journal on Applied Mathematics 5 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 5 Acta Mathematica Sinica. English Series 5 Oberwolfach Reports 5 Networks and Heterogeneous Media 5 Analysis & PDE 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 Asymptotic Analysis 4 Potential Analysis 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 Advanced Nonlinear Studies 4 Journal of Fixed Point Theory and Applications ...and 179 more Serials
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### Cited in 50 Fields

 960 Mechanics of deformable solids (74-XX) 934 Partial differential equations (35-XX) 734 Calculus of variations and optimal control; optimization (49-XX) 197 Statistical mechanics, structure of matter (82-XX) 158 Differential geometry (53-XX) 151 Functional analysis (46-XX) 121 Fluid mechanics (76-XX) 112 Real functions (26-XX) 102 Numerical analysis (65-XX) 87 Global analysis, analysis on manifolds (58-XX) 62 Functions of a complex variable (30-XX) 59 Optics, electromagnetic theory (78-XX) 58 Operator theory (47-XX) 55 Harmonic analysis on Euclidean spaces (42-XX) 55 Probability theory and stochastic processes (60-XX) 48 Measure and integration (28-XX) 35 Potential theory (31-XX) 27 Dynamical systems and ergodic theory (37-XX) 27 Convex and discrete geometry (52-XX) 24 Ordinary differential equations (34-XX) 20 Biology and other natural sciences (92-XX) 18 Mechanics of particles and systems (70-XX) 17 Quantum theory (81-XX) 14 Computer science (68-XX) 13 Classical thermodynamics, heat transfer (80-XX) 11 Operations research, mathematical programming (90-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 9 Approximations and expansions (41-XX) 9 Manifolds and cell complexes (57-XX) 9 Systems theory; control (93-XX) 8 General and overarching topics; collections (00-XX) 8 Information and communication theory, circuits (94-XX) 7 Integral equations (45-XX) 7 Relativity and gravitational theory (83-XX) 6 Difference and functional equations (39-XX) 6 Algebraic topology (55-XX) 6 Geophysics (86-XX) 5 Statistics (62-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 History and biography (01-XX) 4 Several complex variables and analytic spaces (32-XX) 3 Abstract harmonic analysis (43-XX) 2 Combinatorics (05-XX) 2 Geometry (51-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)

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