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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

23 single-authored
20 Conti, Sergio
12 Dolzmann, Georg
11 Šverák, Vladimír
10 DeSimone, Antonio
9 Mora, Maria Giovanna
8 Garroni, Adriana
8 James, Richard D.
8 Kohn, Robert Vita
7 Kleiner, Bruce
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 Adams, Stefan
3 Ball, John MacLeod
3 Chaudhuri, Nirmalendu
3 De Lellis, Camillo
3 Flucher, Martin
3 Hungerbuhler, Norbert
3 Kienzler, Reinhold
3 Kotecký, Roman
3 McDowell, David L.
3 Palombaro, Mariapia
3 Werner, Ewald A.
2 Ben Belgacem, Hafedh
2 Bourne, David P.
2 Cotar, Codina
2 Deuschel, Jean-Dominique
2 Freire, Alexandre
2 Geymonat, Giuseppe
2 Kopecká, Eva
2 Lewicka, Marta
2 Maggi, Francesco
2 Müller, Paul F. X.
2 Olbermann, Heiner
2 Pakzad, Mohammad Reza
2 Schweiger, Florian
2 Tang, Qi
2 Triantafyllidis, Nicolas
2 Yan, Baisheng
1 Alberti, Giovanni
1 Brixner, Tobias
1 Buchholz, Simon
1 Carstensen, Carsten
1 Dacorogna, Bernard
1 Dmitrieva, Olga
1 Dondl, Patrick Werner
1 Esteban, Maria J.
1 Evans, Lawrence Craig
1 Faraco, Daniel
1 Francfort, Gilles A.
1 Fusco, Nicola
1 Giuliani, Alessandro
1 Kenneweg, Tristan
1 Koop, Andreas
1 Krömer, Milan
1 Kröner, Dietmar
1 Lecumberry, Myriam
1 Lee, Jihoon
1 Leoni, Giovanni
1 Lewintan, Peter
1 Lienstromberg, Christina
1 Marcellini, Paolo
1 Mielke, Alexander
1 Neff, Patrizio
1 Neukamm, Stefan
1 Pedregal, Pablo
1 Pfeiffer, Walter
1 Raabe, Dierk
1 Rieger, Marc Oliver
1 Röger, Matthias
1 Romeo, Mario
1 Scardia, Lucia
1 Schäfer, Rudolf
1 Schlömerkemper, Anja
1 Schroeter, Brian M.
1 Schultz, M. G.
1 Schupp, Bernhard
1 Sivaloganathan, Jeyabal
1 Süli, Endre E.
1 Sychev, Mikhail A.
1 Zeppieri, Caterina Ida
all top 5

Serials

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

Publications by Year

Citations contained in zbMATH Open

134 Publications have been cited 4,788 times in 2,672 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
374
2002
A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence. Zbl 1100.74039
Friesecke, Gero; James, Richard D.; Müller, Stefan
229
2006
Variational models for microstructure and phase transitions. Zbl 0968.74050
Müller, Stefan
208
1999
\(\mathcal A\)-quasiconvexity, lower semicontinuity, and Young measures. Zbl 0940.49014
Fonseca, Irene; Müller, Stefan
149
1999
Homogenization of nonconvex integral functionals and cellular elastic materials. Zbl 0629.73009
Müller, Stefan
132
1987
Convex integration for Lipschitz mappings and counterexamples to regularity. Zbl 1083.35032
Müller, S.; Šverák, V.
125
2003
Surface energy and microstructure in coherent phase transitions. Zbl 0803.49007
Kohn, Robert V.; Müller, Stefan
110
1994
Homogenization of nonlinearly elastic materials, microscopic bifurcation and macroscopic loss of rank-one convexity. Zbl 0801.73008
Geymonat, Giuseppe; Müller, Stefan; Triantafyllidis, Nicolas
110
1993
An existence theory for nonlinear elasticity that allows for cavitation. Zbl 0836.73025
Müller, Stefan; Spector, Scott J.
106
1995
A uniqueness proof for the Wulff theorem. Zbl 0752.49019
Fonseca, Irene; Müller, Stefan
103
1991
Higher integrability of determinants and weak convergence in \(L^ 1\). Zbl 0713.49004
Müller, Stefan
99
1990
Quasi-convex integrands and lower semicontinuity in \(L^ 1\). Zbl 0764.49012
Fonseca, Irene; Müller, Stefan
96
1992
Relaxation of quasiconvex functionals in \(BV(\Omega, \mathbb{R}^ N)\) for integrands \(f(x, u, \bigtriangledown u)\). Zbl 0788.49039
Fonseca, Irene; Müller, Stefan
89
1993
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
89
2003
Analysis of concentration and oscillation effects generated by gradients. Zbl 0920.49009
Fonseca, Irene; Müller, Stefan; Pedregal, Pablo
80
1998
On a new class of elastic deformations not allowing for cavitation. Zbl 0863.49002
Müller, S.; Qi, Tang; Yan, B. S.
79
1994
\(\Gamma\)-limit of a phase-field model of dislocations. Zbl 1094.82008
Garroni, A.; Müller, S.
76
2005
A reduced theory for thin-film micromagnetics. Zbl 1027.82042
DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix
75
2002
Singular perturbations as a selection criterion for periodic minimizing sequences. Zbl 0821.49015
Müller, Stefan
72
1993
A variational model for dislocations in the line tension limit. Zbl 1158.74365
Garroni, Adriana; Müller, Stefan
69
2006
Convex integration with constraints and applications to phase transitions and partial differential equations. Zbl 0953.35042
Müller, S.; Šverák, V.
66
1999
Derivation of the nonlinear bending-torsion theory for inextensible rods by \(\Gamma\)-convergence. Zbl 1053.74027
Mora, Maria Giovanna; Müller, Stefan
62
2003
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
60
2000
Nonlinear elliptic systems with measure-valued right hand side. Zbl 0895.35029
Dolzmann, Georg; Hungerbühler, Norbert; Müller, Stefan
60
1997
A compactness result in the gradient theory of phase transitions. Zbl 0986.49009
DeSimone, Antonio; Müller, Stefan; Kohn, Robert V.; Otto, Felix
59
2001
Det\(=\det\). A remark on the distributional determinant. Zbl 0717.46033
Müller, Stefan
58
1990
Studying nonlinear PDE by geometry in matrix space. Zbl 1290.35097
Kirchheim, Bernd; Müller, Stefan; Šverák, Vladimír
56
2003
Estimates for Green’s matrices of elliptic systems by \(L^ p\) theory. Zbl 0846.35040
Dolzmann, G.; Müller, S.
55
1995
On surfaces of finite total curvature. Zbl 0853.53003
Müller, S.; Šverák, V.
53
1995
Attainment results for the two-well problem by convex integration. Zbl 0930.35038
Müller, Stefan; Šverák, Vladimir
53
1996
Recent analytical developments in micromagnetics. Zbl 1151.35426
DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix
52
2006
Microstructures with finite surface energy: The two-well problem. Zbl 0846.73054
Dolzmann, Georg; Müller, Stefan
49
1995
Optimal rigidity estimates for nearly umbilical surfaces. Zbl 1087.53004
de Lellis, Camillo; Müller, Stefan
49
2005
Data-driven problems in elasticity. Zbl 1402.35276
Conti, S.; Müller, S.; Ortiz, M.
44
2018
Hardy spaces and the two-dimensional Euler equations with nonnegative vorticity. Zbl 0802.35120
Evans, L. C.; Müller, S.
43
1994
Lower semicontinuity and existence of minimizers in incremental finite-strain elastoplasticity. Zbl 1102.74006
Mielke, Alexander; Müller, Stefan
43
2006
Rank-one convexity implies quasiconvexity on diagonal matrices. Zbl 1055.49506
Müller, Stefan
42
1999
A new approach to variational problems with multiple scales. Zbl 1021.49012
Alberti, Giovanni; Müller, Stefan
42
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
41
2002
Optimal existence theorems for nonhomogeneous differential inclusions. Zbl 0989.49012
Müller, S.; Sychev, M. A.
37
2001
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
35
2004
The \(p\)-harmonic system with measure-valued right hand side. Zbl 0879.35052
Dolzmann, Georg; Hungerbühler, Norbert; Müller, Stefan
34
1997
Rigorous derivation of nonlinear plate theory and geometric rigidity. Zbl 1012.74043
Friesecke, Gero; Müller, Stefan; James, Richard D.
34
2002
Invertibility and a topological property of Sobolev maps. Zbl 0855.73028
Müller, Stefan; Spector, Scott J.; Tang, Qi
33
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.
32
2000
Weak continuity of determinants and nonlinear elasticity. (Continuité faible des déterminants et applications à l’élasticité non linéaire). Zbl 0679.34051
Müller, Stefan
29
1988
Local stress regularity in scalar nonconvex variational problems. Zbl 1012.49027
Carstensen, Carsten; Müller, Stefan
28
2002
The uniform Korn-Poincaré inequality in thin domains. Zbl 1253.74055
Lewicka, Marta; Müller, Stefan
28
2011
A surprising higher integrability property of mappings with positive determinant. Zbl 0689.49006
Müller, Stefan
27
1989
Magnetic microstructures – a paradigm of multiscale problems. Zbl 0991.82038
DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix
27
2000
Sufficient conditions for the validity of the Cauchy-Born rule close to \(\mathrm{SO}(n)\). Zbl 1146.74006
Conti, Sergio; Dolzmann, Georg; Kirchheim, Bernd; Müller, Stefan
27
2006
Hardy space methods for nonlinear partial differential equations. Zbl 0811.35025
Müller, Stefan
26
1994
The Föppl-von Kármán plate theory as a low energy \(\Gamma\)-limit of nonlinear elasticity. Zbl 1041.74043
Friesecke, Gero; James, Richard D.; Müller, Stefan
26
2002
Stability of slender bodies under compression and validity of the von Kármán theory. Zbl 1200.74060
Lecumberry, Myriam; Müller, Stefan
26
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
26
2011
Korn’s second inequality and geometric rigidity with mixed growth conditions. Zbl 1295.35369
Conti, Sergio; Dolzmann, Georg; Müller, Stefan
25
2014
A \(C^{0}\) estimate for nearly umbilical surfaces. Zbl 1100.53005
De Lellis, Camillo; Müller, Stefan
24
2006
Singular kernels, multiscale decomposition of microstructure, and dislocation models. Zbl 1251.74006
Conti, Sergio; Garroni, Adriana; Müller, Stefan
23
2011
On quasiconvex functions which are homogeneous of degree 1. Zbl 0736.26006
Müller, Stefan
22
1992
On the \(\Gamma\)-convergence of discrete dynamics and variational integrators. Zbl 1136.37350
Müller, S.; Ortiz, M.
22
2004
Unexpected solutions of first and second order partial differential equations. Zbl 0896.35029
Müller, Stefan; Šverák, Vladimir
22
1998
Regularity properties of isometric immersions. Zbl 1082.58010
Müller, Stefan; Pakzad, Mohammad Reza
22
2005
On the singular support of the distributional determinant. Zbl 0792.46027
Müller, Stefan
21
1993
Strict convexity of the free energy for a class of non-convex gradient models. Zbl 1173.82010
Cotar, Codina; Deuschel, Jean-Dominique; Müller, Stefan
21
2009
Internal variables and fine-scale oscillations in micromagnetics. Zbl 0814.73054
James, R. D.; Müller, Stefan
20
1994
Convergence of equilibria of thin elastic plates – the von Kármán case. Zbl 1141.74034
Müller, S.; Pakzad, M. R.
20
2008
A sharp version of Zhang’s theorem on truncating sequences of gradients. Zbl 0942.49013
Müller, Stefan
19
1999
Convergence of equilibria of three-dimensional thin elastic beams. Zbl 1142.74022
Mora, M. G.; Müller, S.
18
2008
Rigidity estimate for two incompatible wells. Zbl 1086.49010
Chaudhuri, Nirmalendu; Müller, Stefan
18
2004
\(\mathcal A\)-quasiconvexity: weak-star convergence and the gap. Zbl 1064.49016
Fonseca, Irene; Leoni, Giovanni; Müller, Stefan
18
2004
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
18
2011
Data-driven finite elasticity. Zbl 1437.35654
Conti, S.; Müller, S.; Ortiz, M.
17
2020
On the commutability of homogenization and linearization in finite elasticity. Zbl 1262.74029
Müller, Stefan; Neukamm, Stefan
17
2011
Conical singularities in thin elastic sheets. Zbl 1285.49031
Müller, Stefan; Olbermann, Heiner
17
2014
Two-dimensional modelling of soft ferromagnetic films. Zbl 1065.74028
DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix; Schäfer, Rudolf
17
2001
The influence of surface energy on stress-free microstructures in shape memory alloys. Zbl 0835.73061
Dolzmann, Georg; Müller, Stefan
16
1995
Korn inequalities for incompatible tensor fields in three space dimensions with conformally invariant dislocation energy. Zbl 1471.35009
Lewintan, Peter; Müller, Stefan; Neff, Patrizio
16
2021
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
16
2016
Parabolic systems with nowhere smooth solutions. Zbl 1116.35059
Müller, Stefan; Rieger, Marc Oliver; Šverák, Vladimír
15
2005
Combined effects of homogenization and singular perturbations in elasticity. Zbl 0802.35007
Francfort, G. A.; Müller, S.
14
1994
Weak compactness of wave maps and harmonic maps. Zbl 0924.58011
Freire, Alexandre; Müller, Stefan; Struwe, Michael
14
1998
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
13
2003
Large time existence for thin vibrating plates. Zbl 1247.74019
Abels, Helmut; Mora, Maria Giovanna; Müller, Stefan
13
2011
Convergence of equilibria of planar thin elastic beams. Zbl 1125.74026
Mora, M. G.; Müller, S.; Schultz, M. G.
13
2007
Rigorous derivation of Föppl’s theory for clamped elastic membranes leads to relaxation. Zbl 1146.74025
Conti, Sergio; Maggi, Francesco; Müller, Stefan
13
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.
12
2005
Striped periodic minimizers of a two-dimensional model for martensitic phase transitions. Zbl 1448.74082
Giuliani, Alessandro; Müller, Stefan
12
2012
Radial symmetry and decay rate of variational ground states in the zero mass case. Zbl 0908.35005
Flucher, M.; Müller, S.
11
1998
Global existence of wave maps in 1+2 dimensions with finite energy data. Zbl 0896.35086
Müller, Stefan; Struwe, Michael
11
1996
Energy bounds for a compressed elastic film on a substrate. Zbl 1387.74069
Bourne, David P.; Conti, Sergio; Müller, Stefan
11
2017
Derivation of a rod theory for biphase materials with dislocations at the interface. Zbl 1274.74064
Müller, Stefan; Palombaro, Mariapia
11
2013
Compensated compactness, separately convex functions and interpolatory estimates between Riesz transforms and Haar projections. Zbl 1230.49009
Lee, Jihoon; Müller, Paul F. X.; Müller, Stefan
10
2011
Existence of minimizers for a polyconvex energy in a crystal with dislocations. Zbl 1134.74015
Müller, Stefan; Palombaro, Mariapia
10
2008
Sharp stability results for almost conformal maps in even dimensions. Zbl 0966.35016
Müller, Stefan; Šverák, Vladimir; Yan, Baisheng
10
1999
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
Relaxation and regularization of nonconvex variational problems. Zbl 0819.49014
Kohn, Robert V.; Müller, Stefan
9
1992
The two-well problem in three dimensions. Zbl 0956.74039
Dolzmann, Georg; Kirchheim, Bernd; Müller, Stefan; Šverák, Vladimir
9
2000
Finite range decomposition for families of gradient Gaussian measures. Zbl 1263.60047
Adams, Stefan; Kotecký, Roman; Müller, Stefan
9
2013
Mathematical problems in thin elastic sheets: scaling limits, packing, crumpling and singularities. Zbl 1372.35003
Müller, Stefan
9
2017
Derivation of strain-gradient plasticity from a generalized Peierls-Nabarro model. Zbl 1519.74009
Conti, Sergio; Garroni, Adriana; Müller, Stefan
2
2023
A new decomposition of the graph Laplacian and the binomial structure of mass-action systems. Zbl 1519.05158
Müller, Stefan
1
2023
Korn inequalities for incompatible tensor fields in three space dimensions with conformally invariant dislocation energy. Zbl 1471.35009
Lewintan, Peter; Müller, Stefan; Neff, Patrizio
16
2021
Data-driven finite elasticity. Zbl 1437.35654
Conti, S.; Müller, S.; Ortiz, M.
17
2020
Symmetric div-quasiconvexity and the relaxation of static problems. Zbl 1434.74010
Conti, S.; Müller, S.; Ortiz, M.
7
2020
Local strong solutions to a quasilinear degenerate fourth-order thin-film equation. Zbl 1445.35198
Lienstromberg, Christina; Müller, Stefan
5
2020
Optimal-order finite difference approximation of generalized solutions to the biharmonic equation in a cube. Zbl 1471.65172
Müller, Stefan; Schweiger, Florian; Süli, Endre
3
2020
Estimates for the Green’s function of the discrete Bilaplacian in dimensions 2 and 3. Zbl 1422.65324
Müller, Stefan; Schweiger, Florian
9
2019
Data-driven problems in elasticity. Zbl 1402.35276
Conti, S.; Müller, S.; Ortiz, M.
44
2018
Energy bounds for a compressed elastic film on a substrate. Zbl 1387.74069
Bourne, David P.; Conti, Sergio; Müller, Stefan
11
2017
Mathematical problems in thin elastic sheets: scaling limits, packing, crumpling and singularities. Zbl 1372.35003
Müller, Stefan
9
2017
Homogenization of vector-valued partition problems and dislocation cell structures in the plane. Zbl 1469.74095
Conti, Sergio; Garroni, Adriana; Müller, Stefan
2
2017
On the optimal constants in Korn’s and geometric rigidity estimates in bounded and unbounded domains, under Neumann boundary conditions. Zbl 1405.74010
Lewicka, Marta; Müller, Stefan
16
2016
Dislocation microstructures and strain-gradient plasticity with one active slip plane. Zbl 1482.74137
Conti, Sergio; Garroni, Adriana; Müller, Stefan
8
2016
Gradient theory for geometrically nonlinear plasticity via the homogenization of dislocations. Zbl 1456.74018
Müller, Stefan; Scardia, Lucia; Zeppieri, Caterina Ida
7
2015
Microstructure in plasticity, a comparison between theory and experiment. Zbl 1370.74026
Dmitrieva, Olga; Raabe, Dierk; Müller, Stefan; Dondl, Patrick W.
3
2015
Korn’s second inequality and geometric rigidity with mixed growth conditions. Zbl 1295.35369
Conti, Sergio; Dolzmann, Georg; Müller, Stefan
25
2014
Conical singularities in thin elastic sheets. Zbl 1285.49031
Müller, Stefan; Olbermann, Heiner
17
2014
Confined structures of least bending energy. Zbl 1296.53127
Müller, Stefan; Röger, Matthias
8
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
11
2013
Finite range decomposition for families of gradient Gaussian measures. Zbl 1263.60047
Adams, Stefan; Kotecký, Roman; Müller, Stefan
9
2013
Striped periodic minimizers of a two-dimensional model for martensitic phase transitions. Zbl 1448.74082
Giuliani, Alessandro; Müller, Stefan
12
2012
The uniform Korn-Poincaré inequality in thin domains. Zbl 1253.74055
Lewicka, Marta; Müller, Stefan
28
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
26
2011
Singular kernels, multiscale decomposition of microstructure, and dislocation models. Zbl 1251.74006
Conti, Sergio; Garroni, Adriana; Müller, Stefan
23
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
18
2011
On the commutability of homogenization and linearization in finite elasticity. Zbl 1262.74029
Müller, Stefan; Neukamm, Stefan
17
2011
Large time existence for thin vibrating plates. Zbl 1247.74019
Abels, Helmut; Mora, Maria Giovanna; Müller, Stefan
13
2011
Compensated compactness, separately convex functions and interpolatory estimates between Riesz transforms and Haar projections. Zbl 1230.49009
Lee, Jihoon; Müller, Paul F. X.; Müller, Stefan
10
2011
Monotone curves. Zbl 1238.46017
Kirchheim, Bernd; Kopecká, Eva; Müller, Stefan
2
2011
Stability of slender bodies under compression and validity of the von Kármán theory. Zbl 1200.74060
Lecumberry, Myriam; Müller, Stefan
26
2009
Strict convexity of the free energy for a class of non-convex gradient models. Zbl 1173.82010
Cotar, Codina; Deuschel, Jean-Dominique; Müller, Stefan
21
2009
Do projections stay close together? Zbl 1160.51016
Kirchheim, Bernd; Kopecká, Eva; Müller, Stefan
2
2009
Convergence of equilibria of thin elastic plates – the von Kármán case. Zbl 1141.74034
Müller, S.; Pakzad, M. R.
20
2008
Convergence of equilibria of three-dimensional thin elastic beams. Zbl 1142.74022
Mora, M. G.; Müller, S.
18
2008
Existence of minimizers for a polyconvex energy in a crystal with dislocations. Zbl 1134.74015
Müller, Stefan; Palombaro, Mariapia
10
2008
Convergence of equilibria of planar thin elastic beams. Zbl 1125.74026
Mora, M. G.; Müller, S.; Schultz, M. G.
13
2007
Rigorous derivation of Föppl’s theory for clamped elastic membranes leads to relaxation. Zbl 1146.74025
Conti, Sergio; Maggi, Francesco; Müller, Stefan
13
2007
Derivation of a rod theory for multiphase materials. Zbl 1105.74016
Mora, Maria Giovanna; Müller, Stefan
7
2007
Scaling of the energy for thin martensitic films. Zbl 1108.74039
Chaudhuri, Nirmalendu; Müller, Stefan
5
2007
A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence. Zbl 1100.74039
Friesecke, Gero; James, Richard D.; Müller, Stefan
229
2006
A variational model for dislocations in the line tension limit. Zbl 1158.74365
Garroni, Adriana; Müller, Stefan
69
2006
Recent analytical developments in micromagnetics. Zbl 1151.35426
DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix
52
2006
Lower semicontinuity and existence of minimizers in incremental finite-strain elastoplasticity. Zbl 1102.74006
Mielke, Alexander; Müller, Stefan
43
2006
Sufficient conditions for the validity of the Cauchy-Born rule close to \(\mathrm{SO}(n)\). Zbl 1146.74006
Conti, Sergio; Dolzmann, Georg; Kirchheim, Bernd; Müller, Stefan
27
2006
A \(C^{0}\) estimate for nearly umbilical surfaces. Zbl 1100.53005
De Lellis, Camillo; Müller, Stefan
24
2006
\(\Gamma\)-limit of a phase-field model of dislocations. Zbl 1094.82008
Garroni, A.; Müller, S.
76
2005
Optimal rigidity estimates for nearly umbilical surfaces. Zbl 1087.53004
de Lellis, Camillo; Müller, Stefan
49
2005
Regularity properties of isometric immersions. Zbl 1082.58010
Müller, Stefan; Pakzad, Mohammad Reza
22
2005
Parabolic systems with nowhere smooth solutions. Zbl 1116.35059
Müller, Stefan; Rieger, Marc Oliver; Šverák, Vladimír
15
2005
Rank-one convex functions on \(2\times 2\) symmetric matrices and laminates on rank-three lines. Zbl 1135.26301
Conti, S.; Faraco, D.; Maggi, F.; Müller, S.
12
2005
Self-similar folding patterns and energy scaling in compressed elastic sheets. Zbl 1082.74030
Conti, Sergio; DeSimone, Antonio; Müller, Stefan
5
2005
A nonlinear model for inextensible rods as a low energy \(\varGamma\)-limit of three-dimensional nonlinear elasticity. Zbl 1109.74028
Mora, Maria Giovanna; Müller, Stefan
35
2004
On the \(\Gamma\)-convergence of discrete dynamics and variational integrators. Zbl 1136.37350
Müller, S.; Ortiz, M.
22
2004
Rigidity estimate for two incompatible wells. Zbl 1086.49010
Chaudhuri, Nirmalendu; Müller, Stefan
18
2004
\(\mathcal A\)-quasiconvexity: weak-star convergence and the gap. Zbl 1064.49016
Fonseca, Irene; Leoni, Giovanni; Müller, Stefan
18
2004
Convex integration for Lipschitz mappings and counterexamples to regularity. Zbl 1083.35032
Müller, S.; Šverák, V.
125
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
89
2003
Derivation of the nonlinear bending-torsion theory for inextensible rods by \(\Gamma\)-convergence. Zbl 1053.74027
Mora, Maria Giovanna; Müller, Stefan
62
2003
Studying nonlinear PDE by geometry in matrix space. Zbl 1290.35097
Kirchheim, Bernd; Müller, Stefan; Šverák, Vladimír
56
2003
Repulsive interaction of Néel walls, and the internal length scale of the cross-tie wall. Zbl 1059.82046
DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix
13
2003
Rank-one convexity implies quasi-convexity on certain hypersurfaces. Zbl 1054.49018
Chaudhuri, Nirmalendu; Müller, Stefan
5
2003
Multiscale modeling of materials – the role of analysis. Zbl 1065.74056
Conti, Sergio; DeSimone, Antonio; Dolzmann, Georg; Müller, Stefan; Otto, Felix
4
2003
Polyconvexity equals rank-one convexity for connected isotropic sets in \(\mathbb M^{2\times 2}\). Zbl 1050.49010
Conti, Sergio; De Lellis, Camillo; Müller, Stefan; Romeo, Mario
3
2003
Concentration phenomena for the volume functional in unbounded domains: identification of concentration points. Zbl 1161.49305
Garroni, A.; Müller, S.
1
2003
A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity. Zbl 1021.74024
Friesecke, Gero; James, Richard D.; Müller, Stefan
374
2002
A reduced theory for thin-film micromagnetics. Zbl 1027.82042
DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix
75
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
41
2002
Rigorous derivation of nonlinear plate theory and geometric rigidity. Zbl 1012.74043
Friesecke, Gero; Müller, Stefan; James, Richard D.
34
2002
Local stress regularity in scalar nonconvex variational problems. Zbl 1012.49027
Carstensen, Carsten; Müller, Stefan
28
2002
The Föppl-von Kármán plate theory as a low energy \(\Gamma\)-limit of nonlinear elasticity. Zbl 1041.74043
Friesecke, Gero; James, Richard D.; Müller, Stefan
26
2002
Concentration of low energy extremals: Identification of concentration points. Zbl 1004.35040
Flucher, M.; Garroni, A.; Müller, S.
8
2002
Discrete-to-continuum limit of magnetic forces. Zbl 1038.74018
Müller, Stefan; Schlömerkemper, Anja
7
2002
A compactness result in the gradient theory of phase transitions. Zbl 0986.49009
DeSimone, Antonio; Müller, Stefan; Kohn, Robert V.; Otto, Felix
59
2001
A new approach to variational problems with multiple scales. Zbl 1021.49012
Alberti, Giovanni; Müller, Stefan
42
2001
Optimal existence theorems for nonhomogeneous differential inclusions. Zbl 0989.49012
Müller, S.; Sychev, M. A.
37
2001
Two-dimensional modelling of soft ferromagnetic films. Zbl 1065.74028
DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix; Schäfer, Rudolf
17
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
60
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.
32
2000
Magnetic microstructures – a paradigm of multiscale problems. Zbl 0991.82038
DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix
27
2000
The two-well problem in three dimensions. Zbl 0956.74039
Dolzmann, Georg; Kirchheim, Bernd; Müller, Stefan; Šverák, Vladimir
9
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
208
1999
\(\mathcal A\)-quasiconvexity, lower semicontinuity, and Young measures. Zbl 0940.49014
Fonseca, Irene; Müller, Stefan
149
1999
Convex integration with constraints and applications to phase transitions and partial differential equations. Zbl 0953.35042
Müller, S.; Šverák, V.
66
1999
Rank-one convexity implies quasiconvexity on diagonal matrices. Zbl 1055.49506
Müller, Stefan
42
1999
A sharp version of Zhang’s theorem on truncating sequences of gradients. Zbl 0942.49013
Müller, Stefan
19
1999
Sharp stability results for almost conformal maps in even dimensions. Zbl 0966.35016
Müller, Stefan; Šverák, Vladimir; Yan, Baisheng
10
1999
An isoperimetric estimate and \(W^{1,p}\)-quasiconvexity in nonlinear elasticity. Zbl 0929.74013
Müller, Stefan; Sivaloganathan, Jeyabal; Spector, Scott J.
7
1999
Concentration of low energy extremals. Zbl 0938.35042
Flucher, M.; Müller, S.
7
1999
Analysis of concentration and oscillation effects generated by gradients. Zbl 0920.49009
Fonseca, Irene; Müller, Stefan; Pedregal, Pablo
80
1998
Unexpected solutions of first and second order partial differential equations. Zbl 0896.35029
Müller, Stefan; Šverák, Vladimir
22
1998
Weak compactness of wave maps and harmonic maps. Zbl 0924.58011
Freire, Alexandre; Müller, Stefan; Struwe, Michael
14
1998
Radial symmetry and decay rate of variational ground states in the zero mass case. Zbl 0908.35005
Flucher, M.; Müller, S.
11
1998
Spatially discrete wave maps on (1+2)-dimensional space-time. Zbl 0933.58020
Müller, Stefan; Struwe, Michael
3
1998
Microstructures, phase transitions and geometry. Zbl 0908.49014
Müller, Stefan
2
1998
Nonlinear elliptic systems with measure-valued right hand side. Zbl 0895.35029
Dolzmann, Georg; Hungerbühler, Norbert; Müller, Stefan
60
1997
The \(p\)-harmonic system with measure-valued right hand side. Zbl 0879.35052
Dolzmann, Georg; Hungerbühler, Norbert; Müller, Stefan
34
1997
...and 34 more Documents
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Cited by 2,300 Authors

82 Conti, Sergio
61 Müller, Stefan
39 Fonseca, Irene
37 Ortiz, Michael
36 Kružík, Martin
30 Neff, Patrizio
27 Braides, Andrea
27 Ciarlet, Philippe Gaston
27 Iwaniec, Tadeusz
25 Dolzmann, Georg
24 Mardare, Cristinel
23 Hornung, Peter
23 Otto, Felix
23 Yang, Dachun
22 Garroni, Adriana
22 Pedregal, Pablo
21 Bartels, Sören
21 Ignat, Radu
20 Mingione, Giuseppe
20 Stefanelli, Ulisse
20 Yan, Baisheng
19 DeSimone, Antonio
19 Lewicka, Marta
19 Mora-Corral, Carlos
19 Mora, Maria Giovanna
19 Paroni, Roberto
19 Ponte Castañeda, Pedro
19 Zappale, Elvira
18 Azroul, Elhoussine
18 Friedrich, Manuel
18 Onninen, Jani
18 Pruchnicki, Erick
18 Rüland, Angkana
18 Schmidt, Bernd
17 Balaadich, Farah
17 De Lellis, Camillo
17 De Philippis, Guido
17 Harutyunyan, Davit
17 Henao, Duvan A.
17 Kohn, Robert Vita
17 Rindler, Filip
17 Velčić, Igor
16 Rivière, Tristan
16 Székelyhidi, László jun.
15 Fusco, Nicola
15 Hencl, Stanislav
15 Kreisbeck, Carolin
15 Kristensen, Jan
15 Krömer, Stefan
15 Lopez-Pamies, Oscar
15 Zhang, Kewei
14 Carstensen, Carsten
14 Davoli, Elisa
14 Faraco, Daniel
14 Muratov, Cyrill B.
14 Ponsiglione, Marcello
14 Schlömerkemper, Anja
14 Zeppieri, Caterina Ida
13 Dacorogna, Bernard
13 Malý, Jan
13 Mielke, Alexander
13 Neukamm, Stefan
13 Olbermann, Heiner
13 Serfaty, Sylvia
13 Zwicknagl, Barbara Maria
12 Cianchi, Andrea
12 Dal Maso, Gianni
12 Griso, Georges
12 James, Richard D.
12 Knüpfer, Hans
12 Leoni, Giovanni
12 Miehe, Christian
12 Palombaro, Mariapia
12 Spector, Scott J.
11 Cicalese, Marco
11 De Luca, Lucia
11 Focardi, Matteo
11 Francfort, Gilles A.
11 Gloria, Antoine
11 Gwiazda, Piotr
11 Lewintan, Peter
11 Lorent, Andrew
11 Maggi, Francesco
11 Schikorra, Armin
11 Tione, Riccardo
10 Babadjian, Jean-François
10 Bevan, Jonathan J.
10 Blanchard, Dominique
10 Dondl, Patrick Werner
10 Gaudiello, Antonio
10 Kim, Seick
10 Mandallena, Jean-Philippe
10 Cardoso Matias, José Carlos Pedro
10 Mucci, Domenico
10 Roubíček, Tomáš
10 Rumpf, Martin
10 Scala, Riccardo
10 Steigmann, David J.
10 Triantafyllidis, Nicolas
10 Wang, Bixiang
...and 2,200 more Authors
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Cited in 315 Serials

216 Archive for Rational Mechanics and Analysis
184 Calculus of Variations and Partial Differential Equations
105 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
89 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
73 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
71 Journal of the Mechanics and Physics of Solids
70 Journal of Elasticity
67 Computer Methods in Applied Mechanics and Engineering
61 SIAM Journal on Mathematical Analysis
58 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
55 Journal of Differential Equations
54 Journal de Mathématiques Pures et Appliquées. Neuvième Série
50 Journal of Nonlinear Science
49 Comptes Rendus. Mathématique. Académie des Sciences, Paris
48 Mathematics and Mechanics of Solids
44 Journal of Functional Analysis
40 Journal of Mathematical Analysis and Applications
33 Communications on Pure and Applied Mathematics
33 Advances in Calculus of Variations
31 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
29 Communications in Mathematical Physics
27 The Journal of Geometric Analysis
23 Continuum Mechanics and Thermodynamics
21 Mathematical Methods in the Applied Sciences
21 Proceedings of the American Mathematical Society
20 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
17 Annali di Matematica Pura ed Applicata. Serie Quarta
17 Mathematische Annalen
17 Transactions of the American Mathematical Society
17 Communications in Partial Differential Equations
17 NoDEA. Nonlinear Differential Equations and Applications
16 Journal of the European Mathematical Society (JEMS)
15 Advances in Mathematics
14 Physica D
14 Communications in Contemporary Mathematics
14 Communications on Pure and Applied Analysis
13 Applicable Analysis
13 Journal of Computational Physics
13 ZAMP. Zeitschrift für angewandte Mathematik und Physik
13 Applied Mathematics and Optimization
13 Inventiones Mathematicae
13 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
13 Analysis and Applications (Singapore)
13 Discrete and Continuous Dynamical Systems. Series S
12 International Journal of Engineering Science
12 Manuscripta Mathematica
12 Computational Mechanics
12 Bulletin of the American Mathematical Society. New Series
11 Journal of Statistical Physics
11 Nonlinearity
11 European Journal of Mechanics. A. Solids
11 Oberwolfach Reports
10 Journal of Mathematical Physics
10 SIAM Journal on Numerical Analysis
10 Discrete and Continuous Dynamical Systems
10 GAMM-Mitteilungen
9 Journal d’Analyse Mathématique
9 International Journal for Numerical Methods in Engineering
9 Mathematische Nachrichten
9 Ricerche di Matematica
9 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
9 Journal of Mathematical Fluid Mechanics
9 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
9 Analysis & PDE
8 The Annals of Probability
8 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
8 Meccanica
8 Zeitschrift für Analysis und ihre Anwendungen
8 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
8 Interfaces and Free Boundaries
8 Multiscale Modeling & Simulation
8 Science China. Mathematics
8 Mathematics in Engineering
7 Duke Mathematical Journal
7 Mathematische Zeitschrift
7 Quarterly of Applied Mathematics
7 SIAM Journal on Applied Mathematics
7 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
6 Indiana University Mathematics Journal
6 Journal of Optimization Theory and Applications
6 Numerische Mathematik
6 Acta Mathematicae Applicatae Sinica. English Series
6 Revista Matemática Iberoamericana
6 Asymptotic Analysis
6 Journal of Scientific Computing
6 Acta Mathematica Sinica. English Series
6 Nonlinear Analysis. Real World Applications
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 Probability Theory and Related Fields
5 Applied Mathematics Letters
5 Journal of the American Mathematical Society
5 Potential Analysis
5 Revista Matemática Complutense
5 Discrete and Continuous Dynamical Systems. Series B
5 Advanced Nonlinear Studies
5 Nonlinear Analysis. Theory, Methods & Applications
4 Computers & Mathematics with Applications
...and 215 more Serials
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Cited in 53 Fields

1,180 Partial differential equations (35-XX)
1,154 Mechanics of deformable solids (74-XX)
867 Calculus of variations and optimal control; optimization (49-XX)
241 Statistical mechanics, structure of matter (82-XX)
195 Differential geometry (53-XX)
191 Functional analysis (46-XX)
155 Fluid mechanics (76-XX)
140 Real functions (26-XX)
139 Numerical analysis (65-XX)
96 Global analysis, analysis on manifolds (58-XX)
80 Probability theory and stochastic processes (60-XX)
74 Functions of a complex variable (30-XX)
74 Operator theory (47-XX)
67 Optics, electromagnetic theory (78-XX)
65 Harmonic analysis on Euclidean spaces (42-XX)
60 Measure and integration (28-XX)
43 Potential theory (31-XX)
37 Dynamical systems and ergodic theory (37-XX)
37 Convex and discrete geometry (52-XX)
25 Biology and other natural sciences (92-XX)
24 Ordinary differential equations (34-XX)
23 Computer science (68-XX)
22 Mechanics of particles and systems (70-XX)
22 Quantum theory (81-XX)
17 Classical thermodynamics, heat transfer (80-XX)
14 Operations research, mathematical programming (90-XX)
13 General and overarching topics; collections (00-XX)
13 Systems theory; control (93-XX)
11 Linear and multilinear algebra; matrix theory (15-XX)
11 Integral equations (45-XX)
10 Manifolds and cell complexes (57-XX)
10 Relativity and gravitational theory (83-XX)
9 Approximations and expansions (41-XX)
9 Information and communication theory, circuits (94-XX)
8 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
7 Difference and functional equations (39-XX)
7 Statistics (62-XX)
6 History and biography (01-XX)
6 Combinatorics (05-XX)
6 Several complex variables and analytic spaces (32-XX)
6 Algebraic topology (55-XX)
5 Geophysics (86-XX)
3 Abstract harmonic analysis (43-XX)
2 Commutative algebra (13-XX)
2 Special functions (33-XX)
2 Integral transforms, operational calculus (44-XX)
2 Geometry (51-XX)
2 General topology (54-XX)
2 Astronomy and astrophysics (85-XX)
1 Algebraic geometry (14-XX)
1 Nonassociative rings and algebras (17-XX)
1 Topological groups, Lie groups (22-XX)
1 Sequences, series, summability (40-XX)

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