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Author ID: muller.stefan.1 Recent zbMATH articles by "Müller, Stefan"
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)
all top 5

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
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 Multiscale Modeling & Simulation
1 GAMM-Mitteilungen
1 Lecture Notes in Mathematics
1 Bollettino dell’Unione Matematica Italiana

Publications by Year

Citations contained in zbMATH Open

131 Publications have been cited 4,017 times in 2,286 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
328
2002
A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence. Zbl 1100.74039
Friesecke, Gero; James, Richard D.; Müller, Stefan
201
2006
Variational models for microstructure and phase transitions. Zbl 0968.74050
Müller, Stefan
125
1999
\(\mathcal A\)-quasiconvexity, lower semicontinuity, and Young measures. Zbl 0940.49014
Fonseca, Irene; Müller, Stefan
121
1999
Homogenization of nonconvex integral functionals and cellular elastic materials. Zbl 0629.73009
Müller, Stefan
119
1987
Convex integration for Lipschitz mappings and counterexamples to regularity. Zbl 1083.35032
Müller, S.; Šverák, V.
110
2003
Homogenization of nonlinearly elastic materials, microscopic bifurcation and macroscopic loss of rank-one convexity. Zbl 0801.73008
Geymonat, Giuseppe; Müller, Stefan; Triantafyllidis, Nicolas
101
1993
Surface energy and microstructure in coherent phase transitions. Zbl 0803.49007
Kohn, Robert V.; Müller, Stefan
97
1994
An existence theory for nonlinear elasticity that allows for cavitation. Zbl 0836.73025
Müller, Stefan; Spector, Scott J.
95
1995
A uniqueness proof for the Wulff theorem. Zbl 0752.49019
Fonseca, Irene; Müller, Stefan
88
1991
Higher integrability of determinants and weak convergence in \(L^ 1\). Zbl 0713.49004
Müller, Stefan
86
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
79
2003
Quasi-convex integrands and lower semicontinuity in \(L^ 1\). Zbl 0764.49012
Fonseca, Irene; Müller, Stefan
77
1992
Analysis of concentration and oscillation effects generated by gradients. Zbl 0920.49009
Fonseca, 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 0788.49039
Fonseca, Irene; Müller, Stefan
74
1993
Singular perturbations as a selection criterion for periodic minimizing sequences. Zbl 0821.49015
Müller, Stefan
68
1993
On a new class of elastic deformations not allowing for cavitation. Zbl 0863.49002
Müller, S.; Qi, Tang; Yan, B. S.
67
1994
\(\Gamma\)-limit of a phase-field model of dislocations. Zbl 1094.82008
Garroni, A.; Müller, S.
65
2005
A reduced theory for thin-film micromagnetics. Zbl 1027.82042
DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix
63
2002
A variational model for dislocations in the line tension limit. Zbl 1158.74365
Garroni, Adriana; Müller, Stefan
58
2006
Convex integration with constraints and applications to phase transitions and partial differential equations. Zbl 0953.35042
Müller, S.; Šverák, V.
57
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
54
2000
Derivation of the nonlinear bending-torsion theory for inextensible rods by \(\Gamma\)-convergence. Zbl 1053.74027
Mora, Maria Giovanna; Müller, Stefan
53
2003
A compactness result in the gradient theory of phase transitions. Zbl 0986.49009
DeSimone, Antonio; Müller, Stefan; Kohn, Robert V.; Otto, Felix
52
2001
Optimal rigidity estimates for nearly umbilical surfaces. Zbl 1087.53004
de Lellis, Camillo; Müller, Stefan
45
2005
Nonlinear elliptic systems with measure-valued right hand side. Zbl 0895.35029
Dolzmann, Georg; Hungerbühler, Norbert; Müller, Stefan
45
1997
Det\(=\det\). A remark on the distributional determinant. Zbl 0717.46033
Müller, Stefan
44
1990
Estimates for Green’s matrices of elliptic systems by \(L^ p\) theory. Zbl 0846.35040
Dolzmann, G.; Müller, S.
44
1995
Recent analytical developments in micromagnetics. Zbl 1151.35426
DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix
44
2006
Studying nonlinear PDE by geometry in matrix space. Zbl 1290.35097
Kirchheim, Bernd; Müller, Stefan; Šverák, Vladimír
43
2003
Microstructures with finite surface energy: The two-well problem. Zbl 0846.73054
Dolzmann, Georg; Müller, Stefan
43
1995
On surfaces of finite total curvature. Zbl 0853.53003
Müller, S.; Šverák, V.
43
1995
Attainment results for the two-well problem by convex integration. Zbl 0930.35038
Müller, Stefan; Šverák, Vladimir
42
1996
Lower semicontinuity and existence of minimizers in incremental finite-strain elastoplasticity. Zbl 1102.74006
Mielke, Alexander; Müller, Stefan
38
2006
A new approach to variational problems with multiple scales. Zbl 1021.49012
Alberti, Giovanni; Müller, Stefan
37
2001
Hardy spaces and the two-dimensional Euler equations with nonnegative vorticity. Zbl 0802.35120
Evans, L. C.; Müller, S.
37
1994
Energy scaling of compressed elastic films – three-dimensional elasticity and reduced theories. Zbl 1041.74048
Ben Belgacem, Hafedh; Conti, Sergio; DeSimone, Antonio; Müller, Stefan
36
2002
Rank-one convexity implies quasiconvexity on diagonal matrices. Zbl 1055.49506
Müller, Stefan
36
1999
Optimal existence theorems for nonhomogeneous differential inclusions. Zbl 0989.49012
Müller, S.; Sychev, M. A.
35
2001
Rigorous derivation of nonlinear plate theory and geometric rigidity. Zbl 1012.74043
Friesecke, Gero; Müller, Stefan; James, Richard D.
33
2002
Invertibility and a topological property of Sobolev maps. Zbl 0855.73028
Müller, Stefan; Spector, Scott J.; Tang, Qi
30
1996
Rigourous bounds for the Föppl-von Kármán theory of isotropically compressed plates. Zbl 1015.74029
Ben Belgacem, H.; Conti, S.; DeSimone, A.; Müller, S.
29
2000
Data-driven problems in elasticity. Zbl 1402.35276
Conti, S.; Müller, S.; Ortiz, M.
27
2018
Magnetic microstructures – a paradigm of multiscale problems. Zbl 0991.82038
DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix
26
2000
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
26
2004
Weak continuity of determinants and nonlinear elasticity. (Continuité faible des déterminants et applications à l’élasticité non linéaire). Zbl 0679.34051
Müller, Stefan
26
1988
Local stress regularity in scalar nonconvex variational problems. Zbl 1012.49027
Carstensen, Carsten; Müller, Stefan
25
2002
The \(p\)-harmonic system with measure-valued right hand side. Zbl 0879.35052
Dolzmann, Georg; Hungerbühler, Norbert; Müller, Stefan
25
1997
The uniform Korn-Poincaré inequality in thin domains. Zbl 1253.74055
Lewicka, Marta; Müller, Stefan
25
2011
A surprising higher integrability property of mappings with positive determinant. Zbl 0689.49006
Müller, Stefan
24
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
23
2002
Hardy space methods for nonlinear partial differential equations. Zbl 0811.35025
Müller, Stefan
23
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
22
2006
A \(C^{0}\) estimate for nearly umbilical surfaces. Zbl 1100.53005
De Lellis, Camillo; Müller, Stefan
21
2006
Regularity properties of isometric immersions. Zbl 1082.58010
Müller, Stefan; Pakzad, Mohammad Reza
20
2005
On quasiconvex functions which are homogeneous of degree 1. Zbl 0736.26006
Müller, Stefan
20
1992
On the \(\Gamma\)-convergence of discrete dynamics and variational integrators. Zbl 1136.37350
Müller, S.; Ortiz, M.
19
2004
Internal variables and fine-scale oscillations in micromagnetics. Zbl 0814.73054
James, R. D.; Müller, Stefan
19
1994
Unexpected solutions of first and second order partial differential equations. Zbl 0896.35029
Müller, Stefan; Šverák, Vladimir
19
1998
Stability of slender bodies under compression and validity of the von Kármán theory. Zbl 1200.74060
Lecumberry, Myriam; Müller, Stefan
19
2009
The time-dependent von Kármán plate equation as a limit of 3d nonlinear elasticity. Zbl 1346.74110
Abels, Helmut; Mora, Maria Giovanna; Müller, Stefan
19
2011
On the singular support of the distributional determinant. Zbl 0792.46027
Müller, Stefan
18
1993
Singular kernels, multiscale decomposition of microstructure, and dislocation models. Zbl 1251.74006
Conti, Sergio; Garroni, Adriana; Müller, Stefan
18
2011
Convergence of equilibria of three-dimensional thin elastic beams. Zbl 1142.74022
Mora, M. G.; Müller, S.
18
2008
Convergence of equilibria of thin elastic plates – the von Kármán case. Zbl 1141.74034
Müller, S.; Pakzad, M. R.
17
2008
Two-dimensional modelling of soft ferromagnetic films. Zbl 1065.74028
DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix; Schäfer, Rudolf
16
2001
Rigidity estimate for two incompatible wells. Zbl 1086.49010
Chaudhuri, Nirmalendu; Müller, Stefan
16
2004
\(\mathcal A\)-quasiconvexity: weak-star convergence and the gap. Zbl 1064.49016
Fonseca, Irene; Leoni, Giovanni; Müller, Stefan
16
2004
A sharp version of Zhang’s theorem on truncating sequences of gradients. Zbl 0942.49013
Müller, Stefan
16
1999
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
16
2011
Strict convexity of the free energy for a class of non-convex gradient models. Zbl 1173.82010
Cotar, Codina; Deuschel, Jean-Dominique; Müller, Stefan
15
2009
Conical singularities in thin elastic sheets. Zbl 1285.49031
Müller, Stefan; Olbermann, Heiner
15
2014
Korn’s second inequality and geometric rigidity with mixed growth conditions. Zbl 1295.35369
Conti, Sergio; Dolzmann, Georg; Müller, Stefan
15
2014
Parabolic systems with nowhere smooth solutions. Zbl 1116.35059
Müller, Stefan; Rieger, Marc Oliver; Šverák, Vladimír
14
2005
Sobolev maps with integer degree and applications to Skyrme’s problem. Zbl 0757.49010
Esteban, Maria J.; Müller, Stefan
13
1992
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
12
2003
Combined effects of homogenization and singular perturbations in elasticity. Zbl 0802.35007
Francfort, G. A.; Müller, S.
12
1994
Weak compactness of wave maps and harmonic maps. Zbl 0924.58011
Freire, Alexandre; Müller, Stefan; Struwe, Michael
12
1998
The influence of surface energy on stress-free microstructures in shape memory alloys. Zbl 0835.73061
Dolzmann, Georg; Müller, Stefan
12
1995
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
12
2016
Rigorous derivation of Föppl’s theory for clamped elastic membranes leads to relaxation. Zbl 1146.74025
Conti, Sergio; Maggi, Francesco; Müller, Stefan
12
2007
Rank-one convex functions on \(2\times 2\) symmetric matrices and laminates on rank-three lines. Zbl 1135.26301
Conti, S.; Faraco, D.; Maggi, F.; Müller, S.
11
2005
Convergence of equilibria of planar thin elastic beams. Zbl 1125.74026
Mora, M. G.; Müller, S.; Schultz, M. G.
11
2007
Global existence of wave maps in 1+2 dimensions with finite energy data. Zbl 0896.35086
Müller, Stefan; Struwe, Michael
10
1996
Large time existence for thin vibrating plates. Zbl 1247.74019
Abels, Helmut; Mora, Maria Giovanna; Müller, Stefan
10
2011
Weak convergence of wave maps from \((1+2)\)-dimensional Minkowski space to Riemannian manifolds. Zbl 0906.35061
Freire, Alexandre; Müller, Stefan; Struwe, Michael
10
1997
Radial symmetry and decay rate of variational ground states in the zero mass case. Zbl 0908.35005
Flucher, M.; Müller, S.
10
1998
On the commutability of homogenization and linearization in finite elasticity. Zbl 1262.74029
Müller, Stefan; Neukamm, Stefan
10
2011
Data-driven finite elasticity. Zbl 1437.35654
Conti, S.; Müller, S.; Ortiz, M.
9
2020
Confined structures of least bending energy. Zbl 1296.53127
Müller, Stefan; Röger, Matthias
9
2014
Sharp stability results for almost conformal maps in even dimensions. Zbl 0966.35016
Müller, Stefan; Šverák, Vladimir; Yan, Baisheng
9
1999
Derivation of a rod theory for biphase materials with dislocations at the interface. Zbl 1274.74064
Müller, Stefan; Palombaro, Mariapia
9
2013
Concentration of low energy extremals: Identification of concentration points. Zbl 1004.35040
Flucher, M.; Garroni, A.; Müller, S.
8
2002
The two-well problem in three dimensions. Zbl 0956.74039
Dolzmann, Georg; Kirchheim, Bernd; Müller, Stefan; Šverák, Vladimir
8
2000
Compensated compactness, separately convex functions and interpolatory estimates between Riesz transforms and Haar projections. Zbl 1230.49009
Lee, Jihoon; Müller, Paul F. X.; Müller, Stefan
8
2011
Striped periodic minimizers of a two-dimensional model for martensitic phase transitions. Zbl 1448.74082
Giuliani, Alessandro; Müller, Stefan
8
2012
Existence of minimizers for a polyconvex energy in a crystal with dislocations. Zbl 1134.74015
Müller, Stefan; Palombaro, Mariapia
8
2008
Concentration of low energy extremals. Zbl 0938.35042
Flucher, M.; Müller, S.
7
1999
An isoperimetric estimate and \(W^{1,p}\)-quasiconvexity in nonlinear elasticity. Zbl 0929.74013
Müller, Stefan; Sivaloganathan, Jeyabal; Spector, Scott J.
7
1999
Quasiconvexity is not invariant under transposition. Zbl 0980.49017
Müller, Stefan
7
2000
Korn inequalities for incompatible tensor fields in three space dimensions with conformally invariant dislocation energy. Zbl 1471.35009
Lewintan, Peter; Müller, Stefan; Neff, Patrizio
5
2021
Data-driven finite elasticity. Zbl 1437.35654
Conti, S.; Müller, S.; Ortiz, M.
9
2020
Optimal-order finite difference approximation of generalized solutions to the biharmonic equation in a cube. Zbl 1471.65172
Müller, Stefan; Schweiger, Florian; Süli, Endre
3
2020
Symmetric div-quasiconvexity and the relaxation of static problems. Zbl 1434.74010
Conti, S.; Müller, S.; Ortiz, M.
3
2020
Local strong solutions to a quasilinear degenerate fourth-order thin-film equation. Zbl 1445.35198
Lienstromberg, Christina; Müller, Stefan
2
2020
Estimates for the Green’s function of the discrete Bilaplacian in dimensions 2 and 3. Zbl 1422.65324
Müller, Stefan; Schweiger, Florian
6
2019
Data-driven problems in elasticity. Zbl 1402.35276
Conti, S.; Müller, S.; Ortiz, M.
27
2018
Mathematical problems in thin elastic sheets: scaling limits, packing, crumpling and singularities. Zbl 1372.35003
Müller, Stefan
7
2017
Energy bounds for a compressed elastic film on a substrate. Zbl 1387.74069
Bourne, David P.; Conti, Sergio; Müller, Stefan
7
2017
Homogenization of vector-valued partition problems and dislocation cell structures in the plane. Zbl 1469.74095
Conti, 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 1405.74010
Lewicka, Marta; Müller, Stefan
12
2016
Gradient theory for geometrically nonlinear plasticity via the homogenization of dislocations. Zbl 1456.74018
Müller, Stefan; Scardia, Lucia; Zeppieri, Caterina Ida
4
2015
Microstructure in plasticity, a comparison between theory and experiment. Zbl 1370.74026
Dmitrieva, Olga; Raabe, Dierk; Müller, Stefan; Dondl, Patrick W.
1
2015
Conical singularities in thin elastic sheets. Zbl 1285.49031
Müller, Stefan; Olbermann, Heiner
15
2014
Korn’s second inequality and geometric rigidity with mixed growth conditions. Zbl 1295.35369
Conti, Sergio; Dolzmann, Georg; Müller, Stefan
15
2014
Confined structures of least bending energy. Zbl 1296.53127
Müller, Stefan; Röger, Matthias
9
2014
Almost conical deformations of thin sheets with rotational symmetry. Zbl 1290.49087
Müller, Stefan; Olbermann, Heiner
6
2014
On a differential inclusion related to the Born-Infeld equations. Zbl 1301.35226
Müller, Stefan; Palombaro, Mariapia
6
2014
Derivation of a rod theory for biphase materials with dislocations at the interface. Zbl 1274.74064
Müller, Stefan; Palombaro, Mariapia
9
2013
Finite range decomposition for families of gradient Gaussian measures. Zbl 1263.60047
Adams, Stefan; Kotecký, Roman; Müller, Stefan
6
2013
Striped periodic minimizers of a two-dimensional model for martensitic phase transitions. Zbl 1448.74082
Giuliani, Alessandro; Müller, Stefan
8
2012
The uniform Korn-Poincaré inequality in thin domains. Zbl 1253.74055
Lewicka, Marta; Müller, Stefan
25
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
19
2011
Singular kernels, multiscale decomposition of microstructure, and dislocation models. Zbl 1251.74006
Conti, Sergio; Garroni, Adriana; Müller, Stefan
18
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
16
2011
Large time existence for thin vibrating plates. Zbl 1247.74019
Abels, Helmut; Mora, Maria Giovanna; Müller, Stefan
10
2011
On the commutability of homogenization and linearization in finite elasticity. Zbl 1262.74029
Müller, Stefan; Neukamm, Stefan
10
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
8
2011
Monotone curves. Zbl 1238.46017
Kirchheim, Bernd; Kopecká, Eva; Müller, Stefan
1
2011
Stability of slender bodies under compression and validity of the von Kármán theory. Zbl 1200.74060
Lecumberry, Myriam; Müller, Stefan
19
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
15
2009
Do projections stay close together? Zbl 1160.51016
Kirchheim, Bernd; Kopecká, Eva; Müller, Stefan
2
2009
Convergence of equilibria of three-dimensional thin elastic beams. Zbl 1142.74022
Mora, M. G.; Müller, S.
18
2008
Convergence of equilibria of thin elastic plates – the von Kármán case. Zbl 1141.74034
Müller, S.; Pakzad, M. R.
17
2008
Existence of minimizers for a polyconvex energy in a crystal with dislocations. Zbl 1134.74015
Müller, Stefan; Palombaro, Mariapia
8
2008
Rigorous derivation of Föppl’s theory for clamped elastic membranes leads to relaxation. Zbl 1146.74025
Conti, Sergio; Maggi, Francesco; Müller, Stefan
12
2007
Convergence of equilibria of planar thin elastic beams. Zbl 1125.74026
Mora, M. G.; Müller, S.; Schultz, M. G.
11
2007
Derivation of a rod theory for multiphase materials. Zbl 1105.74016
Mora, Maria Giovanna; Müller, Stefan
6
2007
Scaling of the energy for thin martensitic films. Zbl 1108.74039
Chaudhuri, Nirmalendu; Müller, Stefan
5
2007
A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence. Zbl 1100.74039
Friesecke, Gero; James, Richard D.; Müller, Stefan
201
2006
A variational model for dislocations in the line tension limit. Zbl 1158.74365
Garroni, Adriana; Müller, Stefan
58
2006
Recent analytical developments in micromagnetics. Zbl 1151.35426
DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix
44
2006
Lower semicontinuity and existence of minimizers in incremental finite-strain elastoplasticity. Zbl 1102.74006
Mielke, Alexander; Müller, Stefan
38
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
22
2006
A \(C^{0}\) estimate for nearly umbilical surfaces. Zbl 1100.53005
De Lellis, Camillo; Müller, Stefan
21
2006
\(\Gamma\)-limit of a phase-field model of dislocations. Zbl 1094.82008
Garroni, A.; Müller, S.
65
2005
Optimal rigidity estimates for nearly umbilical surfaces. Zbl 1087.53004
de Lellis, Camillo; Müller, Stefan
45
2005
Regularity properties of isometric immersions. Zbl 1082.58010
Müller, Stefan; Pakzad, Mohammad Reza
20
2005
Parabolic systems with nowhere smooth solutions. Zbl 1116.35059
Müller, 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 1135.26301
Conti, S.; Faraco, D.; Maggi, F.; Müller, S.
11
2005
Self-similar folding patterns and energy scaling in compressed elastic sheets. Zbl 1082.74030
Conti, Sergio; DeSimone, Antonio; Müller, Stefan
4
2005
A nonlinear model for inextensible rods as a low energy \(\varGamma\)-limit of three-dimensional nonlinear elasticity. Zbl 1109.74028
Mora, Maria Giovanna; Müller, Stefan
26
2004
On the \(\Gamma\)-convergence of discrete dynamics and variational integrators. Zbl 1136.37350
Müller, S.; Ortiz, M.
19
2004
Rigidity estimate for two incompatible wells. Zbl 1086.49010
Chaudhuri, Nirmalendu; Müller, Stefan
16
2004
\(\mathcal A\)-quasiconvexity: weak-star convergence and the gap. Zbl 1064.49016
Fonseca, Irene; Leoni, Giovanni; Müller, Stefan
16
2004
Convex integration for Lipschitz mappings and counterexamples to regularity. Zbl 1083.35032
Müller, S.; Šverák, V.
110
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
79
2003
Derivation of the nonlinear bending-torsion theory for inextensible rods by \(\Gamma\)-convergence. Zbl 1053.74027
Mora, Maria Giovanna; Müller, Stefan
53
2003
Studying nonlinear PDE by geometry in matrix space. Zbl 1290.35097
Kirchheim, Bernd; Müller, Stefan; Šverák, Vladimír
43
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
12
2003
Rank-one convexity implies quasi-convexity on certain hypersurfaces. Zbl 1054.49018
Chaudhuri, Nirmalendu; Müller, Stefan
5
2003
Multiscale modeling of materials – the role of analysis. Zbl 1065.74056
Conti, Sergio; DeSimone, Antonio; Dolzmann, Georg; Müller, Stefan; Otto, Felix
4
2003
Polyconvexity equals rank-one convexity for connected isotropic sets in \(\mathbb M^{2\times 2}\). Zbl 1050.49010
Conti, Sergio; De Lellis, Camillo; Müller, Stefan; Romeo, Mario
2
2003
Concentration phenomena for the volume functional in unbounded domains: identification of concentration points. Zbl 1161.49305
Garroni, A.; Müller, S.
1
2003
A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity. Zbl 1021.74024
Friesecke, Gero; James, Richard D.; Müller, Stefan
328
2002
A reduced theory for thin-film micromagnetics. Zbl 1027.82042
DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix
63
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
36
2002
Rigorous derivation of nonlinear plate theory and geometric rigidity. Zbl 1012.74043
Friesecke, Gero; Müller, Stefan; James, Richard D.
33
2002
Local stress regularity in scalar nonconvex variational problems. Zbl 1012.49027
Carstensen, Carsten; Müller, Stefan
25
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
23
2002
Concentration of low energy extremals: Identification of concentration points. Zbl 1004.35040
Flucher, M.; Garroni, A.; Müller, S.
8
2002
Discrete-to-continuum limit of magnetic forces. Zbl 1038.74018
Müller, Stefan; Schlömerkemper, Anja
6
2002
A compactness result in the gradient theory of phase transitions. Zbl 0986.49009
DeSimone, Antonio; Müller, Stefan; Kohn, Robert V.; Otto, Felix
52
2001
A new approach to variational problems with multiple scales. Zbl 1021.49012
Alberti, Giovanni; Müller, Stefan
37
2001
Optimal existence theorems for nonhomogeneous differential inclusions. Zbl 0989.49012
Müller, S.; Sychev, M. A.
35
2001
Two-dimensional modelling of soft ferromagnetic films. Zbl 1065.74028
DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix; Schäfer, Rudolf
16
2001
Uniqueness and maximal regularity for nonlinear elliptic systems of \(n\)-Laplace type with measure valued right hand side. Zbl 0937.35065
Dolzmann, Georg; Hungerbühler, Norbert; Müller, Stefan
54
2000
Rigourous bounds for the Föppl-von Kármán theory of isotropically compressed plates. Zbl 1015.74029
Ben Belgacem, H.; Conti, S.; DeSimone, A.; Müller, S.
29
2000
Magnetic microstructures – a paradigm of multiscale problems. Zbl 0991.82038
DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix
26
2000
The two-well problem in three dimensions. Zbl 0956.74039
Dolzmann, Georg; Kirchheim, Bernd; Müller, Stefan; Šverák, Vladimir
8
2000
Quasiconvexity is not invariant under transposition. Zbl 0980.49017
Müller, Stefan
7
2000
Variational models for microstructure and phase transitions. Zbl 0968.74050
Müller, Stefan
125
1999
\(\mathcal A\)-quasiconvexity, lower semicontinuity, and Young measures. Zbl 0940.49014
Fonseca, Irene; Müller, Stefan
121
1999
Convex integration with constraints and applications to phase transitions and partial differential equations. Zbl 0953.35042
Müller, S.; Šverák, V.
57
1999
Rank-one convexity implies quasiconvexity on diagonal matrices. Zbl 1055.49506
Müller, Stefan
36
1999
A sharp version of Zhang’s theorem on truncating sequences of gradients. Zbl 0942.49013
Müller, Stefan
16
1999
Sharp stability results for almost conformal maps in even dimensions. Zbl 0966.35016
Müller, Stefan; Šverák, Vladimir; Yan, Baisheng
9
1999
Concentration of low energy extremals. Zbl 0938.35042
Flucher, M.; Müller, S.
7
1999
An isoperimetric estimate and \(W^{1,p}\)-quasiconvexity in nonlinear elasticity. Zbl 0929.74013
Müller, Stefan; Sivaloganathan, Jeyabal; Spector, Scott J.
7
1999
Analysis of concentration and oscillation effects generated by gradients. Zbl 0920.49009
Fonseca, Irene; Müller, Stefan; Pedregal, Pablo
76
1998
Unexpected solutions of first and second order partial differential equations. Zbl 0896.35029
Müller, Stefan; Šverák, Vladimir
19
1998
Weak compactness of wave maps and harmonic maps. Zbl 0924.58011
Freire, Alexandre; Müller, Stefan; Struwe, Michael
12
1998
Radial symmetry and decay rate of variational ground states in the zero mass case. Zbl 0908.35005
Flucher, M.; Müller, S.
10
1998
Spatially discrete wave maps on (1+2)-dimensional space-time. Zbl 0933.58020
Müller, Stefan; Struwe, Michael
3
1998
Microstructures, phase transitions and geometry. Zbl 0908.49014
Müller, Stefan
2
1998
Nonlinear elliptic systems with measure-valued right hand side. Zbl 0895.35029
Dolzmann, Georg; Hungerbühler, Norbert; Müller, Stefan
45
1997
The \(p\)-harmonic system with measure-valued right hand side. Zbl 0879.35052
Dolzmann, Georg; Hungerbühler, Norbert; Müller, Stefan
25
1997
Weak convergence of wave maps from \((1+2)\)-dimensional Minkowski space to Riemannian manifolds. Zbl 0906.35061
Freire, Alexandre; Müller, Stefan; Struwe, Michael
10
1997
Harmonic maps on planar lattices. Zbl 1004.58007
Müller, Stefan; Struwe, Michael; Šverák, Vladimir
1
1997
Attainment results for the two-well problem by convex integration. Zbl 0930.35038
Müller, Stefan; Šverák, Vladimir
42
1996
...and 31 more Documents
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Cited by 2,010 Authors

72 Conti, Sergio
59 Müller, Stefan
37 Fonseca, Irene
30 Ortiz, Michael
27 Ciarlet, Philippe Gaston
26 Iwaniec, Tadeusz
24 Mardare, Cristinel
23 Dolzmann, Georg
22 Braides, Andrea
22 Kružík, Martin
21 Hornung, Peter
21 Otto, Felix
20 Mingione, Giuseppe
20 Yang, Dachun
19 Garroni, Adriana
19 Ignat, Radu
19 Yan, Baisheng
18 Bartels, Sören
18 DeSimone, Antonio
18 Mora, Maria Giovanna
17 De Lellis, Camillo
17 Lewicka, Marta
17 Onninen, Jani
17 Paroni, Roberto
17 Schmidt, Bernd
17 Stefanelli, Ulisse
16 Kohn, Robert Vita
16 Pedregal, Pablo
16 Ponte Castañeda, Pedro
16 Pruchnicki, Erick
16 Rivière, Tristan
15 Fusco, Nicola
15 Harutyunyan, Davit
15 Kristensen, Jan
15 Lopez-Pamies, Oscar
15 Mora-Corral, Carlos
15 Neff, Patrizio
15 Rindler, Filip
15 Velčić, Igor
15 Zappale, Elvira
15 Zhang, Kewei
14 Carstensen, Carsten
14 Faraco, Daniel
14 Friedrich, Manuel
14 Henao, Duvan A.
14 Székelyhidi, László jun.
13 Dacorogna, Bernard
13 De Philippis, Guido
13 Krömer, Stefan
13 Mielke, Alexander
13 Rüland, Angkana
13 Schlömerkemper, Anja
13 Sivaloganathan, Jeyabal
12 Azroul, Elhoussine
12 Cianchi, Andrea
12 Dal Maso, Gianni
12 Griso, Georges
12 Hencl, Stanislav
12 Kreisbeck, Carolin
12 Leoni, Giovanni
12 Malý, Jan
12 Muratov, Cyrill B.
12 Olbermann, Heiner
12 Palombaro, Mariapia
12 Ponsiglione, Marcello
12 Serfaty, Sylvia
12 Spector, Scott J.
11 James, Richard D.
11 Neukamm, Stefan
11 Zwicknagl, Barbara Maria
10 Balaadich, Farah
10 Blanchard, Dominique
10 Cicalese, Marco
10 Davoli, Elisa
10 Focardi, Matteo
10 Francfort, Gilles A.
10 Lorent, Andrew
10 Miehe, Christian
10 Roubíček, Tomáš
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 Kim, Seick
9 Maggi, Francesco
9 Mandallena, Jean-Philippe
9 Marcellini, Paolo
9 Moser, Roger
9 Pakzad, Mohammad Reza
9 Rumpf, Martin
9 Schikorra, Armin
8 Agostiniani, Virginia
8 Babadjian, Jean-François
8 Benešová, Barbora
8 Della Porta, Francesco
...and 1,910 more Authors
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Cited in 288 Serials

196 Archive for Rational Mechanics and Analysis
155 Calculus of Variations and Partial Differential Equations
99 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
76 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
62 Journal of Elasticity
53 Computer Methods in Applied Mechanics and Engineering
53 Journal de Mathématiques Pures et Appliquées. Neuvième Série
52 Journal of Differential Equations
51 SIAM Journal on Mathematical Analysis
50 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
48 Comptes Rendus. Mathématique. Académie des Sciences, Paris
44 Mathematics and Mechanics of Solids
42 Journal of Nonlinear Science
40 Journal of Functional Analysis
36 Journal of Mathematical Analysis and Applications
28 Advances in Calculus of Variations
26 Communications in Mathematical Physics
24 The Journal of Geometric Analysis
23 Communications on Pure and Applied Mathematics
23 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
19 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 Annali di Matematica Pura ed Applicata. Serie Quarta
14 Physica D
13 Applicable Analysis
13 Advances in Mathematics
13 Inventiones Mathematicae
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)
12 Discrete and Continuous Dynamical Systems. Series S
11 Journal of Computational Physics
11 ZAMP. Zeitschrift für angewandte Mathematik und Physik
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 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 Journal of Statistical Physics
8 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
8 Meccanica
8 SIAM Journal on Numerical Analysis
8 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
8 GAMM-Mitteilungen
8 Analysis & PDE
8 Science China. Mathematics
7 The Annals of Probability
7 Mathematische Zeitschrift
7 Quarterly of Applied Mathematics
7 Zeitschrift für Analysis und ihre Anwendungen
7 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
7 SIAM Journal on Applied Mathematics
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 Acta Mathematicae Applicatae Sinica. English Series
6 European Journal of Mechanics. A. Solids
6 Acta Mathematica Sinica. English Series
6 Nonlinear Analysis. Real World Applications
6 Multiscale Modeling & Simulation
6 Networks and Heterogeneous Media
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 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
5 Journal of Mathematical Fluid Mechanics
5 Oberwolfach Reports
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 Interfaces and Free Boundaries
4 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
4 Discrete and Continuous Dynamical Systems. Series B
...and 188 more Serials
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Cited in 50 Fields

989 Mechanics of deformable solids (74-XX)
984 Partial differential equations (35-XX)
763 Calculus of variations and optimal control; optimization (49-XX)
207 Statistical mechanics, structure of matter (82-XX)
166 Differential geometry (53-XX)
156 Functional analysis (46-XX)
130 Fluid mechanics (76-XX)
120 Real functions (26-XX)
108 Numerical analysis (65-XX)
86 Global analysis, analysis on manifolds (58-XX)
68 Functions of a complex variable (30-XX)
60 Optics, electromagnetic theory (78-XX)
59 Operator theory (47-XX)
58 Harmonic analysis on Euclidean spaces (42-XX)
58 Probability theory and stochastic processes (60-XX)
50 Measure and integration (28-XX)
37 Potential theory (31-XX)
29 Dynamical systems and ergodic theory (37-XX)
29 Convex and discrete geometry (52-XX)
23 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)
14 Computer science (68-XX)
13 Classical thermodynamics, heat transfer (80-XX)
12 Operations research, mathematical programming (90-XX)
10 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 Integral equations (45-XX)
8 Relativity and gravitational theory (83-XX)
8 Information and communication theory, circuits (94-XX)
7 Statistics (62-XX)
6 Difference and functional equations (39-XX)
6 Algebraic topology (55-XX)
6 Geophysics (86-XX)
6 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 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 Special functions (33-XX)
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1 Astronomy and astrophysics (85-XX)

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