Document Search Results

Hildebrandt, Stefan (ed.) et al., Geometric analysis and nonlinear partial differential equations. Berlin: Springer (ISBN 3-540-44051-8/hbk). 347-395 (2003).

MSC: 35J60 35K55 49Q20

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Garroni, A.; Müller, S.

Concentration phenomena for the volume functional in unbounded domains: identification of concentration points. (English) Zbl 1161.49305

J. Funct. Anal. 199, No. 2, 386-410 (2003).

Reviewer: Michele Miranda (Ferrara)

MSC: 49J99 35J20 35B40

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Müller, Stefan

Critique of the paper ‘The relaxation of non-quasiconvex variational integrals’. (English) Zbl 1018.65084

Numer. Math. 93, No. 3, 523-525 (2003).

Reviewer: Hans Benker (Merseburg)

MSC: 65K10 49J45 49M20 74B20 74G65

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DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix

A reduced theory for thin-film micromagnetics. (English) Zbl 1027.82042

Commun. Pure Appl. Math. 55, No. 11, 1408-1460 (2002).

Reviewer: Messoud Efendiev (Berlin)

MSC: 82D40 49J45 74A99

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Carstensen, Carsten; Müller, Stefan

Local stress regularity in scalar nonconvex variational problems. (English) Zbl 1012.49027

SIAM J. Math. Anal. 34, No. 2, 495-509 (2002).

MSC: 49N60 74G40 74B15 74N15 35D10 35J70 74C05

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Alberti, Giovanni; Müller, Stefan

A new approach to variational problems with multiple scales. (English) Zbl 1021.49012

Commun. Pure Appl. Math. 54, No. 7, 761-825 (2001).

Reviewer: G.Alberti (Pisa)

MSC: 49J45 34E15 49Q20 74B20

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DeSimone, Antonio; Müller, Stefan; Kohn, Robert V.; Otto, Felix

A compactness result in the gradient theory of phase transitions. (English) Zbl 0986.49009

Proc. R. Soc. Edinb., Sect. A, Math. 131, No. 4, 833-844 (2001).

MSC: 49J45 74G65 74N99 76M30

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Müller, S.; Sychev, M. A.

Optimal existence theorems for nonhomogeneous differential inclusions. (English) Zbl 0989.49012

J. Funct. Anal. 181, No. 2, 447-475 (2001).

Reviewer: Luigi Ambrosio (Pisa)

MSC: 49J45 49J24 35R70 49L20

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Müller, Stefan

Quasiconvexity is not invariant under transposition. (English) Zbl 0980.49017

Proc. R. Soc. Edinb., Sect. A, Math. 130, No. 2, 389-395 (2000).

Reviewer: L.Ambrosio (Pisa)

MSC: 49J45

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Dolzmann, Georg; Kirchheim, Bernd; Müller, Stefan; Šverák, Vladimir

The two-well problem in three dimensions. (English) Zbl 0956.74039

Calc. Var. Partial Differ. Equ. 10, No. 1, 21-40 (2000).

MSC: 74N99 74G65 49J40 52A30

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Müller, Stefan

Variational models for microstructure and phase transitions. (English) Zbl 0968.74050

Hildebrandt, S. (ed.) et al., Calculus of variations and geometric evolution problems. Lectures given at the 2nd session of the Centro Internazionale Matematico Estivo (CIME), Cetraro, Italy, June 15-22, 1996. Berlin: Springer. Lect. Notes Math. 1713, 85-210 (1999).

Reviewer: M. Fuchs (Saarbrücken)

MSC: 74N15 74G65 74A60 49S05

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Müller, Stefan

Rank-one convexity implies quasiconvexity on diagonal matrices. (English) Zbl 1055.49506

Int. Math. Res. Not. 1999, No. 20, 1087-1095 (1999).

Reviewer: John M. Ball (MR 2001f:49030)

MSC: 49J45 49J10 42C40

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Fonseca, Irene; Müller, Stefan

\(\mathcal A\)-quasiconvexity, lower semicontinuity, and Young measures. (English) Zbl 0940.49014

SIAM J. Math. Anal. 30, No. 6, 1355-1390 (1999).

Reviewer: L.Ambrosio (Pisa)

MSC: 49J45

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Müller, Stefan

A sharp version of Zhang’s theorem on truncating sequences of gradients. (English) Zbl 0942.49013

Trans. Am. Math. Soc. 351, No. 11, 4585-4597 (1999).

Reviewer: T.Roubíček (Praha)

MSC: 49J45

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Müller, Stefan

Microstructures, phase transitions and geometry. (English) Zbl 0908.49014

Balog, A. (ed.) et al., European congress of mathematics (ECM), Budapest, Hungary, July 22–26, 1996. Volume II. Basel: Birkhäuser. Prog. Math. 169, 92-115 (1998).

Reviewer: T.Roubíček (Praha)

MSC: 49J45 74B20

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Müller, Stefan; Šverák, Vladimir

Unexpected solutions of first and second order partial differential equations. (English) Zbl 0896.35029

Doc. Math., Extra Vol. ICM Berlin 1998, vol. II, 691-702 (1998).

MSC: 35F30 35J55 74B20 49J24

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Fonseca, Irene; Müller, Stefan; Pedregal, Pablo

Analysis of concentration and oscillation effects generated by gradients. (English) Zbl 0920.49009

SIAM J. Math. Anal. 29, No. 3, 736-756 (1998).

Reviewer: Jean-Pierre Raymond (Toulouse)

MSC: 49J45 35B05

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Müller, Stefan; Spector, Scott J.

An existence theory for nonlinear elasticity that allows for cavitation. (English) Zbl 0836.73025

Arch. Ration. Mech. Anal. 131, No. 1, 1-66 (1995).

Reviewer: G.A.Maugin (Paris)

MSC: 74B20 49J20

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Müller, S.; Qi, Tang; Yan, B. S.

On a new class of elastic deformations not allowing for cavitation. (English) Zbl 0863.49002

Ann. Inst. Henri Poincaré, Anal. Non Linéaire 11, No. 2, 217-243 (1994).

Reviewer: M.Brokate (Kaiserslautern)

MSC: 49J10 26B10 74B20

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Kohn, Robert V.; Müller, Stefan

Surface energy and microstructure in coherent phase transitions. (English) Zbl 0803.49007

Commun. Pure Appl. Math. 47, No. 4, 405-435 (1994).

MSC: 49J22 49J35 49J40

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Müller, Stefan; Spector, Scott J.

Existence of singular minimizers in three-dimensional nonlinear elasticity. (English) Zbl 0828.73017

Alber, Hans-Dieter (ed.) et al., Workshop on the mathematical theory of nonlinear and inelastic material behaviour, Technische Hochschule Darmstadt, Darmstadt, Germany, May 25-27, 1992. Bonn: Universität Bonn, Mathematisches Institut, Bonn. Math. Schr. 239, 21-31 (1993).

MSC: 74B20 74S30 74P10 49J20 49J45

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Müller, Stefan

Singular perturbations as a selection criterion for periodic minimizing sequences. (English) Zbl 0821.49015

Calc. Var. Partial Differ. Equ. 1, No. 2, 169-204 (1993).

Reviewer: V.Komkov (Roswell)

MSC: 49J45 34E15 34C25 35M10

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Fonseca, Irene; Müller, Stefan

Relaxation of quasiconvex functionals in \(BV(\Omega, \mathbb{R}^ N)\) for integrands \(f(x, u, \bigtriangledown u)\). (English) Zbl 0788.49039

Arch. Ration. Mech. Anal. 123, No. 1, 1-49 (1993).

Reviewer: I.Fonseca (Pittsburgh)

MSC: 49Q15

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Fonseca, Irene; Müller, Stefan

Quasi-convex integrands and lower semicontinuity in \(L^ 1\). (English) Zbl 0764.49012

SIAM J. Math. Anal. 23, No. 5, 1081-1098 (1992).

Reviewer: R.Schianchi (L’Aquila)

MSC: 49J45

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Kohn, Robert V.; Müller, Stefan

Relaxation and regularization of nonconvex variational problems. (English) Zbl 0819.49014

Rend. Semin. Mat. Fis. Milano 62, 89-113 (1992).

Reviewer: L.Ambrosio (Pisa)

MSC: 49J45 49K30

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Müller, Stefan

On quasiconvex functions which are homogeneous of degree 1. (English) Zbl 0736.26006

Indiana Univ. Math. J. 41, No. 1, 295-301 (1992).

Reviewer: S.Müller

MSC: 26B25 49J20 49J45

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Esteban, Maria J.; Müller, Stefan

Sobolev maps with integer degree and applications to Skyrme’s problem. (English) Zbl 0757.49010

Proc. R. Soc. Lond., Ser. A 436, No. 1896, 197-201 (1992).

Reviewer: G.M.Lieberman (Ames)

MSC: 49J40

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Fonseca, Irene; Müller, Stefan

A uniqueness proof for the Wulff theorem. (English) Zbl 0752.49019

Proc. R. Soc. Edinb., Sect. A 119, No. 1-2, 125-136 (1991).

Reviewer: Zs.Páles (Debrecen)

MSC: 49Q20

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Müller, Stefan

Minimizing sequences for nonconvex functionals, phase transitions and singular perturbations. (English) Zbl 0714.49030

Problems involving change of type, Proc. Conf., Stuttgart/FRG 1988, Lect. Notes Phys. 359, 31-44 (1990).

MSC: 49K40 34E15 49J05

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Müller, Stefan

Higher integrability of determinants and weak convergence in \(L^ 1\). (English) Zbl 0713.49004

J. Reine Angew. Math. 412, 20-34 (1990).

Reviewer: St.Müller

MSC: 49J10 74B20 26B35

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Müller, Stefan

A surprising higher integrability property of mappings with positive determinant. (English) Zbl 0689.49006

Bull. Am. Math. Soc., New Ser. 21, No. 2, 245-248 (1989).

Reviewer: Stefan Müller

MSC: 49J20 58C25 74B20 26B35

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Müller, Stefan

Homogenization of nonconvex integral functionals and cellular elastic materials. (English) Zbl 0629.73009

Arch. Ration. Mech. Anal. 99, 189-212 (1987).

Reviewer: M.Codegone

MSC: 74E05 74B20 49J45 74E10

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Found 54 Documents (Results 1–54)

A Descent Method for Nonsmooth Multiobjective Optimization in Hilbert Spaces. arXiv:2402.06376

Efficient scalarization in multiobjective optimal control of a nonsmooth PDE. (English) Zbl 1502.49013

Scaling of the elastic energy of small balls for maps between manifolds with different curvature tensors. arXiv:2103.15387

Symmetric div-quasiconvexity and the relaxation of static problems. (English) Zbl 1434.74010

Energy bounds for a compressed elastic film on a substrate. (English) Zbl 1387.74069

On a differential inclusion related to the Born-Infeld equations. (English) Zbl 1301.35226

Confined structures of least bending energy. (English) Zbl 1296.53127

Almost conical deformations of thin sheets with rotational symmetry. (English) Zbl 1290.49087

Conical singularities in thin elastic sheets. (English) Zbl 1285.49031

Derivation of a rod theory for biphase materials with dislocations at the interface. (English) Zbl 1274.74064

Compensated compactness, separately convex functions and interpolatory estimates between Riesz transforms and Haar projections. (English) Zbl 1230.49009

Lower semicontinuity and existence of minimizers in incremental finite-strain elastoplasticity. (English) Zbl 1102.74006

Rank-one convex functions on \(2\times 2\) symmetric matrices and laminates on rank-three lines. (English) Zbl 1135.26301

On the \(\Gamma\)-convergence of discrete dynamics and variational integrators. (English) Zbl 1136.37350

\(\mathcal A\)-quasiconvexity: weak-star convergence and the gap. (English) Zbl 1064.49016

A nonlinear model for inextensible rods as a low energy \(\varGamma\)-limit of three-dimensional nonlinear elasticity. (English) Zbl 1109.74028

Rigidity estimate for two incompatible wells. (English) Zbl 1086.49010

Derivation of the nonlinear bending-torsion theory for inextensible rods by \(\Gamma\)-convergence. (English) Zbl 1053.74027

Rank-one convexity implies quasi-convexity on certain hypersurfaces. (English) Zbl 1054.49018

Convex integration for Lipschitz mappings and counterexamples to regularity. (English) Zbl 1083.35032

Derivation of nonlinear bending theory for shells from three-dimensional nonlinear elasticity by Gamma-convergence. (English. Abridged French version) Zbl 1140.74481

Polyconvexity equals rank-one convexity for connected isotropic sets in \(\mathbb M^{2\times 2}\). (English. Abridged French version) Zbl 1050.49010

Studying nonlinear PDE by geometry in matrix space. (English) Zbl 1290.35097

Concentration phenomena for the volume functional in unbounded domains: identification of concentration points. (English) Zbl 1161.49305

Critique of the paper ‘The relaxation of non-quasiconvex variational integrals’. (English) Zbl 1018.65084

A reduced theory for thin-film micromagnetics. (English) Zbl 1027.82042

Local stress regularity in scalar nonconvex variational problems. (English) Zbl 1012.49027

A new approach to variational problems with multiple scales. (English) Zbl 1021.49012

A compactness result in the gradient theory of phase transitions. (English) Zbl 0986.49009

Optimal existence theorems for nonhomogeneous differential inclusions. (English) Zbl 0989.49012

Quasiconvexity is not invariant under transposition. (English) Zbl 0980.49017

The two-well problem in three dimensions. (English) Zbl 0956.74039

Variational models for microstructure and phase transitions. (English) Zbl 0968.74050

Rank-one convexity implies quasiconvexity on diagonal matrices. (English) Zbl 1055.49506

\(\mathcal A\)-quasiconvexity, lower semicontinuity, and Young measures. (English) Zbl 0940.49014

A sharp version of Zhang’s theorem on truncating sequences of gradients. (English) Zbl 0942.49013

Microstructures, phase transitions and geometry. (English) Zbl 0908.49014

Unexpected solutions of first and second order partial differential equations. (English) Zbl 0896.35029

Analysis of concentration and oscillation effects generated by gradients. (English) Zbl 0920.49009

An existence theory for nonlinear elasticity that allows for cavitation. (English) Zbl 0836.73025

On a new class of elastic deformations not allowing for cavitation. (English) Zbl 0863.49002

Surface energy and microstructure in coherent phase transitions. (English) Zbl 0803.49007

Existence of singular minimizers in three-dimensional nonlinear elasticity. (English) Zbl 0828.73017

Singular perturbations as a selection criterion for periodic minimizing sequences. (English) Zbl 0821.49015

Relaxation of quasiconvex functionals in \(BV(\Omega, \mathbb{R}^ N)\) for integrands \(f(x, u, \bigtriangledown u)\). (English) Zbl 0788.49039

Quasi-convex integrands and lower semicontinuity in \(L^ 1\). (English) Zbl 0764.49012

Relaxation and regularization of nonconvex variational problems. (English) Zbl 0819.49014

On quasiconvex functions which are homogeneous of degree 1. (English) Zbl 0736.26006

Sobolev maps with integer degree and applications to Skyrme’s problem. (English) Zbl 0757.49010

A uniqueness proof for the Wulff theorem. (English) Zbl 0752.49019

Minimizing sequences for nonconvex functionals, phase transitions and singular perturbations. (English) Zbl 0714.49030

Higher integrability of determinants and weak convergence in \(L^ 1\). (English) Zbl 0713.49004

A surprising higher integrability property of mappings with positive determinant. (English) Zbl 0689.49006

Homogenization of nonconvex integral functionals and cellular elastic materials. (English) Zbl 0629.73009

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