On quasiconvex hulls in symmetric \(2\times 2\) matrices

DOI10.1016/j.anihpc.2005.11.001zbMath1156.49038OpenAlexW2082060606MaRDI QIDQ873636

László jun. Székelyhidi

Publication date: 29 March 2007

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_2006__23_6_865_0

zbMATH Keywords

Maximum principleGradient Young measuresQuasiconvex Hull

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20)

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Cites Work

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• Incompatible sets of gradients and metastability
• Fine phase mixtures as minimizers of energy
• Equilibrium configurations of crystals
• Characterizations of Young measures generated by gradients
• New examples of quasiconvex functions
• On separation of gradient Young measures
• Polyconvexity equals rank-one convexity for connected isotropic sets in \(\mathbb M^{2\times 2}\)
• Implicit partial differential equations and the constraints of nonlinear elasticity.
• Quasiconvex functions and Hessian equations
• Variational methods for crystalline microstructure. Analysis and computation
• \(G\)-closed classes of elliptic operators in the complex plane
• Rank-one convex hulls in \(\mathbb R^{2\times 2}\)
• Pucci's conjecture and the Alexandrov inequality for elliptic PDEs in the plane
• Young measures and the absence of fine microstructures in a class of phase transitions
• Sur l'équivalence de la 1-rang convexité et de la polyconvexité des ensembles isotropiques de
• Quasiregular mappings and Young measures

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