# zbMATH — the first resource for mathematics

## Müller, Stefan

Compute Distance To:
 Author ID: muller.stefan.1 Published as: Müller, S.; Müller, Stefan Homepage: http://www.hcm.uni-bonn.de/people/profile/stefan-mueller/ External Links: MGP · Wikidata · dblp · GND Awards: EMS Prize (1992)
 Documents Indexed: 141 Publications since 1987
all top 5

#### Co-Authors

 20 single-authored 16 Conti, Sergio 11 Dolzmann, Georg 10 DeSimone, Antonio 10 Šverák, Vladimír 9 Mora, Maria Giovanna 8 James, Richard D. 8 Kohn, Robert Vita 7 Otto, Felix 6 Fonseca, Irene 6 Garroni, Adriana 5 Friesecke, Gero 5 Kirchheim, Bernd 5 Struwe, Michael 4 Ortiz, Michael 4 Spector, Scott J. 3 Abels, Helmut 3 Chaudhuri, Nirmalendu 3 De Lellis, Camillo 3 Flucher, Martin 3 Hungerbuhler, Norbert 3 Kienzler, Reinhold 3 McDowell, David L. 3 Palombaro, Mariapia 3 Werner, Ewald A. 2 Ball, John M. 2 Ben Belgacem, Hafedh 2 Freire, Alexandre 2 Geymonat, Giuseppe 2 Kopecká, Eva 2 Lewicka, Marta 2 Maggi, Francesco 2 Müller, Paul F. X. 2 Olbermann, Heiner 2 Pakzad, Mohammad Reza 2 Schweiger, Florian 2 Tang, Qi 2 Triantafyllidis, Nicolas 2 Yan, Baisheng 1 Adams, Stefan 1 Alberti, Giovanni 1 Bourne, David P. 1 Carstensen, Carsten 1 Cotar, Codina 1 Deuschel, Jean-Dominique 1 Dmitrieva, Olga 1 Dondl, Patrick Werner 1 Esteban, Maria J. 1 Evans, Lawrence Craig 1 Faraco, Daniel 1 Francfort, Gilles A. 1 Giuliani, Alessandro 1 Koop, Andreas 1 Kotecký, Roman 1 Kröner, Dietmar 1 Lecumberry, Myriam 1 Lee, Jihoon 1 Leoni, Giovanni 1 Lienstromberg, Christina 1 Mielke, Alexander 1 Neukamm, Stefan 1 Pedregal, Pablo 1 Raabe, Dierk 1 Rieger, Marc Oliver 1 Röger, Matthias 1 Romeo, Mario 1 Scardia, Lucia 1 Schäfer, Rudolf 1 Schlömerkemper, Anja 1 Schmitz, Sven 1 Schroeter, Brian M. 1 Schultz, M. G. 1 Schupp, Bernhard 1 Sivaloganathan, Jeyabal 1 Süli, Endre E. 1 Sychev, Mikhail A. 1 Zeppieri, Caterina Ida
all top 5

#### Serials

 15 Archive for Rational Mechanics and Analysis 14 Calculus of Variations and Partial Differential Equations 11 SIAM Journal on Mathematical Analysis 8 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 5 Oberwolfach Reports 4 Communications on Pure and Applied Mathematics 4 Comptes Rendus de l’Académie des Sciences. Série I 3 Indiana University Mathematics Journal 3 Journal of Differential Geometry 3 Journal of Functional Analysis 3 Journal für die Reine und Angewandte Mathematik 3 Communications in Partial Differential Equations 3 Journal of Nonlinear Science 2 Communications in Mathematical Physics 2 Mathematische Zeitschrift 2 Topological Methods in Nonlinear Analysis 2 Journal of the European Mathematical Society (JEMS) 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Mathematical Analysis and Applications 1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV) 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Inventiones Mathematicae 1 Journal of Differential Equations 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Meccanica 1 Numerische Mathematik 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 SIAM Journal on Numerical Analysis 1 Transactions of the American Mathematical Society 1 Revista Matemática Iberoamericana 1 Journal of the American Mathematical Society 1 IMRN. International Mathematics Research Notices 1 The Journal of Geometric Analysis 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 Bulletin of the American Mathematical Society. New Series 1 Continuum Mechanics and Thermodynamics 1 Tatra Mountains Mathematical Publications 1 NoDEA. Nonlinear Differential Equations and Applications 1 Documenta Mathematica 1 Vietnam Journal of Mathematics 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Annals of Mathematics. Second Series 1 Multiscale Modeling & Simulation 1 GAMM-Mitteilungen 1 Bollettino dell’Unione Matematica Italiana
all top 5

#### Fields

 75 Mechanics of deformable solids (74-XX) 55 Partial differential equations (35-XX) 52 Calculus of variations and optimal control; optimization (49-XX) 16 Statistical mechanics, structure of matter (82-XX) 11 Functional analysis (46-XX) 8 Real functions (26-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 General and overarching topics; collections (00-XX) 6 Differential geometry (53-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Ordinary differential equations (34-XX) 4 Numerical analysis (65-XX) 4 Fluid mechanics (76-XX) 3 Convex and discrete geometry (52-XX) 2 Potential theory (31-XX) 2 Operator theory (47-XX) 2 Probability theory and stochastic processes (60-XX) 2 Optics, electromagnetic theory (78-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Geometry (51-XX)

#### Citations contained in zbMATH Open

128 Publications have been cited 3,458 times in 2,003 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
Homogenization of nonconvex integral functionals and cellular elastic materials. Zbl 0629.73009
Müller, Stefan
1987
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
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
An existence theory for nonlinear elasticity that allows for cavitation. Zbl 0836.73025
Müller, Stefan; Spector, Scott J.
1995
Surface energy and microstructure in coherent phase transitions. Zbl 0803.49007
Kohn, Robert V.; Müller, Stefan
1994
Higher integrability of determinants and weak convergence in $$L^ 1$$. Zbl 0713.49004
Müller, Stefan
1990
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
Analysis of concentration and oscillation effects generated by gradients. Zbl 0920.49009
Fonseca, Irene; Müller, Stefan; Pedregal, Pablo
1998
A uniqueness proof for the Wulff theorem. Zbl 0752.49019
Fonseca, Irene; Müller, Stefan
1991
Quasi-convex integrands and lower semicontinuity in $$L^ 1$$. Zbl 0764.49012
Fonseca, Irene; Müller, Stefan
1992
Singular perturbations as a selection criterion for periodic minimizing sequences. Zbl 0821.49015
Müller, Stefan
1993
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
A reduced theory for thin-film micromagnetics. Zbl 1027.82042
DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix
2002
On a new class of elastic deformations not allowing for cavitation. Zbl 0863.49002
Müller, S.; Qi, Tang; Yan, B. S.
1994
$$\Gamma$$-limit of a phase-field model of dislocations. Zbl 1094.82008
Garroni, A.; Müller, S.
2005
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
Attainment results for the two-well problem by convex integration. Zbl 0930.35038
1996
Microstructures with finite surface energy: The two-well problem. Zbl 0846.73054
Dolzmann, Georg; Müller, Stefan
1995
Det$$=\det$$. A remark on the distributional determinant. Zbl 0717.46033
Müller, Stefan
1990
Recent analytical developments in micromagnetics. Zbl 1151.35426
DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix
2006
Studying nonlinear PDE by geometry in matrix space. Zbl 1290.35097
Kirchheim, Bernd; Müller, Stefan; Šverák, Vladimír
2003
A new approach to variational problems with multiple scales. Zbl 1021.49012
Alberti, Giovanni; Müller, Stefan
2001
Estimates for Green’s matrices of elliptic systems by $$L^ p$$ theory. Zbl 0846.35040
Dolzmann, G.; Müller, S.
1995
On surfaces of finite total curvature. Zbl 0853.53003
Müller, S.; Šverák, V.
1995
Optimal rigidity estimates for nearly umbilical surfaces. Zbl 1087.53004
de Lellis, Camillo; Müller, Stefan
2005
Lower semicontinuity and existence of minimizers in incremental finite-strain elastoplasticity. Zbl 1102.74006
Mielke, Alexander; Müller, Stefan
2006
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
Optimal existence theorems for nonhomogeneous differential inclusions. Zbl 0989.49012
Müller, S.; Sychev, M. A.
2001
Rigorous derivation of nonlinear plate theory and geometric rigidity. Zbl 1012.74043
Friesecke, Gero; Müller, Stefan; James, Richard D.
2002
Nonlinear elliptic systems with measure-valued right hand side. Zbl 0895.35029
Dolzmann, Georg; Hungerbühler, Norbert; Müller, Stefan
1997
Hardy spaces and the two-dimensional Euler equations with nonnegative vorticity. Zbl 0802.35120
Evans, L. C.; Müller, S.
1994
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
Rank-one convexity implies quasiconvexity on diagonal matrices. Zbl 1055.49506
Müller, Stefan
1999
Local stress regularity in scalar nonconvex variational problems. Zbl 1012.49027
Carstensen, Carsten; Müller, Stefan
2002
Magnetic microstructures – a paradigm of multiscale problems. Zbl 0991.82038
DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix
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
A surprising higher integrability property of mappings with positive determinant. Zbl 0689.49006
Müller, Stefan
1989
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
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
The uniform Korn-Poincaré inequality in thin domains. Zbl 1253.74055
Lewicka, Marta; Müller, Stefan
2011
Hardy space methods for nonlinear partial differential equations. Zbl 0811.35025
Müller, Stefan
1994
Regularity properties of isometric immersions. Zbl 1082.58010
2005
Internal variables and fine-scale oscillations in micromagnetics. Zbl 0814.73054
James, R. D.; Müller, Stefan
1994
Data-driven problems in elasticity. Zbl 1402.35276
Conti, S.; Müller, S.; Ortiz, M.
2018
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
On the $$\Gamma$$-convergence of discrete dynamics and variational integrators. Zbl 1136.37350
Müller, S.; Ortiz, M.
2004
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 the singular support of the distributional determinant. Zbl 0792.46027
Müller, Stefan
1993
On quasiconvex functions which are homogeneous of degree 1. Zbl 0736.26006
Müller, Stefan
1992
Convergence of equilibria of three-dimensional thin elastic beams. Zbl 1142.74022
Mora, M. G.; Müller, S.
2008
Two-dimensional modelling of soft ferromagnetic films. Zbl 1065.74028
DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix; Schäfer, Rudolf
2001
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
Convergence of equilibria of thin elastic plates – the von Kármán case. Zbl 1141.74034
2008
Rigidity estimate for two incompatible wells. Zbl 1086.49010
Chaudhuri, Nirmalendu; Müller, Stefan
2004
A sharp version of Zhang’s theorem on truncating sequences of gradients. Zbl 0942.49013
Müller, Stefan
1999
Unexpected solutions of first and second order partial differential equations. Zbl 0896.35029
1998
Korn’s second inequality and geometric rigidity with mixed growth conditions. Zbl 1295.35369
Conti, Sergio; Dolzmann, Georg; Müller, Stefan
2014
Conical singularities in thin elastic sheets. Zbl 1285.49031
Müller, Stefan; Olbermann, Heiner
2014
Sobolev maps with integer degree and applications to Skyrme’s problem. Zbl 0757.49010
Esteban, Maria J.; Müller, Stefan
1992
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
$$\mathcal A$$-quasiconvexity: weak-star convergence and the gap. Zbl 1064.49016
Fonseca, Irene; Leoni, Giovanni; Müller, Stefan
2004
Parabolic systems with nowhere smooth solutions. Zbl 1116.35059
Müller, Stefan; Rieger, Marc Oliver; Šverák, Vladimír
2005
Weak compactness of wave maps and harmonic maps. Zbl 0924.58011
Freire, Alexandre; Müller, Stefan; Struwe, Michael
1998
Weak convergence of wave maps from $$(1+2)$$-dimensional Minkowski space to Riemannian manifolds. Zbl 0906.35061
Freire, Alexandre; Müller, Stefan; Struwe, Michael
1997
Global existence of wave maps in 1+2 dimensions with finite energy data. Zbl 0896.35086
Müller, Stefan; Struwe, Michael
1996
Convergence of equilibria of planar thin elastic beams. Zbl 1125.74026
Mora, M. G.; Müller, S.; Schultz, M. G.
2007
Rigorous derivation of Föppl’s theory for clamped elastic membranes leads to relaxation. Zbl 1146.74025
Conti, Sergio; Maggi, Francesco; Müller, Stefan
2007
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
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
Radial symmetry and decay rate of variational ground states in the zero mass case. Zbl 0908.35005
Flucher, M.; Müller, S.
1998
Concentration of low energy extremals: Identification of concentration points. Zbl 1004.35040
Flucher, M.; Garroni, A.; Müller, S.
2002
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
Combined effects of homogenization and singular perturbations in elasticity. Zbl 0802.35007
Francfort, G. A.; Müller, S.
1994
Large time existence for thin vibrating plates. Zbl 1247.74019
Abels, Helmut; Mora, Maria Giovanna; Müller, Stefan
2011
The two-well problem in three dimensions. Zbl 0956.74039
Dolzmann, Georg; Kirchheim, Bernd; Müller, Stefan; Šverák, Vladimir
2000
Sharp stability results for almost conformal maps in even dimensions. Zbl 0966.35016
Müller, Stefan; Šverák, Vladimir; Yan, Baisheng
1999
An isoperimetric estimate and $$W^{1,p}$$-quasiconvexity in nonlinear elasticity. Zbl 0929.74013
Müller, Stefan; Sivaloganathan, Jeyabal; Spector, Scott J.
1999
Energy bounds for a compressed elastic film on a substrate. Zbl 1387.74069
Bourne, David P.; Conti, Sergio; Müller, Stefan
2017
Mathematical problems in thin elastic sheets: scaling limits, packing, crumpling and singularities. Zbl 1372.35003
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
On a differential inclusion related to the Born-Infeld equations. Zbl 1301.35226
Müller, Stefan; Palombaro, Mariapia
2014
Confined structures of least bending energy. Zbl 1296.53127
Müller, Stefan; Röger, Matthias
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
On the commutability of homogenization and linearization in finite elasticity. Zbl 1262.74029
Müller, Stefan; Neukamm, Stefan
2011
Existence of minimizers for a polyconvex energy in a crystal with dislocations. Zbl 1134.74015
Müller, Stefan; Palombaro, Mariapia
2008
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 07154067
Müller, Stefan; Schweiger, Florian; Süli, Endre
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
Energy bounds for a compressed elastic film on a substrate. Zbl 1387.74069
Bourne, David P.; Conti, Sergio; Müller, Stefan
2017
Mathematical problems in thin elastic sheets: scaling limits, packing, crumpling and singularities. Zbl 1372.35003
Müller, Stefan
2017
Homogenization of vector-valued partition problems and dislocation cell structures in the plane. Zbl 06722635
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
Korn’s second inequality and geometric rigidity with mixed growth conditions. Zbl 1295.35369
Conti, Sergio; Dolzmann, Georg; Müller, Stefan
2014
Conical singularities in thin elastic sheets. Zbl 1285.49031
Müller, Stefan; Olbermann, Heiner
2014
On a differential inclusion related to the Born-Infeld equations. Zbl 1301.35226
Müller, Stefan; Palombaro, Mariapia
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
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
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
Large time existence for thin vibrating plates. Zbl 1247.74019
Abels, Helmut; Mora, Maria Giovanna; Müller, Stefan
2011
On the commutability of homogenization and linearization in finite elasticity. Zbl 1262.74029
Müller, Stefan; Neukamm, 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
Convergence of equilibria of planar thin elastic beams. Zbl 1125.74026
Mora, M. G.; Müller, S.; Schultz, M. G.
2007
Rigorous derivation of Föppl’s theory for clamped elastic membranes leads to relaxation. Zbl 1146.74025
Conti, Sergio; Maggi, Francesco; Müller, Stefan
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
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
Concentration phenomena for the volume functional in unbounded domains: identification of concentration points. Zbl 1161.49305
Garroni, A.; Müller, S.
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
An isoperimetric estimate and $$W^{1,p}$$-quasiconvexity in nonlinear elasticity. Zbl 0929.74013
Müller, Stefan; Sivaloganathan, Jeyabal; Spector, Scott J.
1999
Concentration of low energy extremals. Zbl 0938.35042
Flucher, M.; Müller, S.
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
Invertibility and a topological property of Sobolev maps. Zbl 0855.73028
Müller, Stefan; Spector, Scott J.; Tang, Qi
1996
Global existence of wave maps in 1+2 dimensions with finite energy data. Zbl 0896.35086
Müller, Stefan; Struwe, Michael
1996
An existence theory for nonlinear elasticity that allows for cavitation. Zbl 0836.73025
Müller, Stefan; Spector, Scott J.
1995
...and 28 more Documents
all top 5

#### Cited by 1,801 Authors

 65 Conti, Sergio 58 Müller, Stefan 35 Fonseca, Irene 27 Ciarlet, Philippe Gaston 27 Ortiz, Michael 24 Iwaniec, Tadeusz 24 Mardare, Cristinel 22 Dolzmann, Georg 21 Kružík, Martin 20 Hornung, Peter 20 Mingione, Giuseppe 20 Otto, Felix 19 Yan, Baisheng 18 Braides, Andrea 18 Ignat, Radu 18 Yang, Dachun 17 DeSimone, Antonio 17 Garroni, Adriana 17 Mora, Maria Giovanna 17 Pruchnicki, Erick 16 De Lellis, Camillo 16 Kohn, Robert Vita 16 Paroni, Roberto 16 Pedregal, Pablo 16 Ponte Castañeda, Pedro 15 Bartels, Sören 15 Fusco, Nicola 15 Lewicka, Marta 15 Mora-Corral, Carlos 15 Schmidt, Bernd 15 Stefanelli, Ulisse 14 Harutyunyan, Davit 14 Lopez-Pamies, Oscar 14 Velčić, Igor 14 Zhang, Kewei 13 Carstensen, Carsten 13 Dacorogna, Bernard 13 Henao, Duvan A. 13 Kristensen, Jan 13 Krömer, Stefan 13 Mielke, Alexander 13 Onninen, Jani 13 Rindler, Filip 13 Székelyhidi, László jun. 12 Faraco, Daniel 12 Friedrich, Manuel 12 Griso, Georges 12 Leoni, Giovanni 12 Neff, Patrizio 12 Rivière, Tristan 12 Schlömerkemper, Anja 12 Serfaty, Sylvia 12 Sivaloganathan, Jeyabal 12 Zappale, Elvira 11 Cianchi, Andrea 11 Dal Maso, Gianni 11 Hencl, Stanislav 11 James, Richard D. 11 Maggi, Francesco 11 Malý, Jan 11 Muratov, Cyrill B. 11 Olbermann, Heiner 11 Palombaro, Mariapia 11 Ponsiglione, Marcello 11 Spector, Scott J. 10 Bevan, Jonathan J. 10 Blanchard, Dominique 10 Gaudiello, Antonio 10 Miehe, Christian 10 Neukamm, Stefan 10 Roubíček, Tomáš 10 Steigmann, David J. 10 Triantafyllidis, Nicolas 9 Bella, Peter 9 De Philippis, Guido 9 Focardi, Matteo 9 Friesecke, Gero 9 Gloria, Antoine 9 Lorent, Andrew 9 Marcellini, Paolo 9 Pakzad, Mohammad Reza 9 Rüland, Angkana 9 Rumpf, Martin 9 Zwicknagl, Barbara Maria 8 Alicandro, Roberto 8 Benešová, Barbora 8 Cicalese, Marco 8 Francfort, Gilles A. 8 Grabovsky, Yury 8 Jiu, Quansen 8 Kim, Seick 8 Kim, Seonghak 8 Knüpfer, Hans 8 Kreisbeck, Carolin 8 Mandallena, Jean-Philippe 8 Michaille, Gérard 8 Wei, Juncheng 8 Zeppieri, Caterina Ida 7 Agostiniani, Virginia 7 Ansini, Nadia ...and 1,701 more Authors
all top 5

#### Cited in 261 Serials

 179 Archive for Rational Mechanics and Analysis 132 Calculus of Variations and Partial Differential Equations 91 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 69 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 66 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 62 Journal of the Mechanics and Physics of Solids 57 Journal of Elasticity 51 Journal de Mathématiques Pures et Appliquées. Neuvième Série 50 Journal of Differential Equations 48 Comptes Rendus. Mathématique. Académie des Sciences, Paris 45 Computer Methods in Applied Mechanics and Engineering 44 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 42 Mathematics and Mechanics of Solids 41 SIAM Journal on Mathematical Analysis 38 Journal of Mathematical Analysis and Applications 37 Journal of Functional Analysis 32 Journal of Nonlinear Science 25 Communications in Mathematical Physics 23 Communications on Pure and Applied Mathematics 22 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 21 Advances in Calculus of Variations 19 Continuum Mechanics and Thermodynamics 18 Proceedings of the American Mathematical Society 16 The Journal of Geometric Analysis 15 Annali di Matematica Pura ed Applicata. Serie Quarta 14 Mathematische Annalen 14 Transactions of the American Mathematical Society 13 NoDEA. Nonlinear Differential Equations and Applications 12 Mathematical Methods in the Applied Sciences 12 Manuscripta Mathematica 12 Physica D 12 Communications in Partial Differential Equations 12 Communications in Contemporary Mathematics 12 Analysis and Applications (Singapore) 11 Applicable Analysis 11 Advances in Mathematics 11 Bulletin of the American Mathematical Society. New Series 11 Journal of the European Mathematical Society (JEMS) 11 Communications on Pure and Applied Analysis 10 Journal of Computational Physics 10 Discrete and Continuous Dynamical Systems. Series S 9 International Journal of Engineering Science 9 Inventiones Mathematicae 8 Journal of Mathematical Physics 8 Journal of Statistical Physics 8 ZAMP. Zeitschrift für angewandte Mathematik und Physik 8 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 8 Meccanica 8 Ricerche di Matematica 8 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 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 8 GAMM-Mitteilungen 7 Mathematische Zeitschrift 7 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 7 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 7 Science China. Mathematics 6 Journal d’Analyse Mathématique 6 Nonlinearity 6 The Annals of Probability 6 International Journal for Numerical Methods in Engineering 6 Journal of Optimization Theory and Applications 6 Numerische Mathematik 6 Acta Mathematicae Applicatae Sinica. English Series 6 Computational Mechanics 6 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 5 Applied Mathematics and Optimization 5 Duke Mathematical Journal 5 Quarterly of Applied Mathematics 5 Zeitschrift für Analysis und ihre Anwendungen 5 Chinese Annals of Mathematics. Series B 5 Journal of the American Mathematical Society 5 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 5 European Journal of Mechanics. A. Solids 5 Acta Mathematica Sinica. English Series 5 Nonlinear Analysis. Real World Applications 5 Multiscale Modeling & Simulation 5 Analysis & PDE 5 Nonlinear Analysis. Theory, Methods & Applications 4 Computers & Mathematics with Applications 4 International Journal of Solids and Structures 4 Mathematics of Computation 4 Journal für die Reine und Angewandte Mathematik 4 Probability Theory and Related Fields 4 SIAM Journal on Applied Mathematics 4 Revista Matemática Complutense 4 Journal of Mathematical Fluid Mechanics 4 Annals of Mathematics. Second Series 4 Interfaces and Free Boundaries 4 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 4 Journal of Fixed Point Theory and Applications 4 Networks and Heterogeneous Media 4 Journal of Elliptic and Parabolic Equations 3 Arkiv för Matematik 3 Journal of Computational and Applied Mathematics 3 Mathematische Nachrichten 3 Siberian Mathematical Journal 3 Annals of Global Analysis and Geometry 3 Revista Matemática Iberoamericana ...and 161 more Serials
all top 5

#### Cited in 51 Fields

 888 Mechanics of deformable solids (74-XX) 837 Partial differential equations (35-XX) 683 Calculus of variations and optimal control; optimization (49-XX) 189 Statistical mechanics, structure of matter (82-XX) 141 Functional analysis (46-XX) 137 Differential geometry (53-XX) 103 Fluid mechanics (76-XX) 98 Real functions (26-XX) 88 Numerical analysis (65-XX) 81 Global analysis, analysis on manifolds (58-XX) 59 Functions of a complex variable (30-XX) 58 Optics, electromagnetic theory (78-XX) 53 Harmonic analysis on Euclidean spaces (42-XX) 53 Operator theory (47-XX) 43 Probability theory and stochastic processes (60-XX) 42 Measure and integration (28-XX) 26 Convex and discrete geometry (52-XX) 25 Potential theory (31-XX) 25 Dynamical systems and ergodic theory (37-XX) 23 Ordinary differential equations (34-XX) 20 Biology and other natural sciences (92-XX) 18 Mechanics of particles and systems (70-XX) 14 Quantum theory (81-XX) 13 Classical thermodynamics, heat transfer (80-XX) 11 Computer science (68-XX) 11 Operations research, mathematical programming (90-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 8 Approximations and expansions (41-XX) 8 Manifolds and cell complexes (57-XX) 8 Systems theory; control (93-XX) 8 Information and communication theory, circuits (94-XX) 6 Integral equations (45-XX) 6 Algebraic topology (55-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Difference and functional equations (39-XX) 4 General and overarching topics; collections (00-XX) 4 History and biography (01-XX) 4 Statistics (62-XX) 4 Relativity and gravitational theory (83-XX) 4 Geophysics (86-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Abstract harmonic analysis (43-XX) 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) 1

#### Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.