Tartar's conjecture and localization of the quasiconvex hull in \(\mathbb R^{2\times 2}\)
type: Item
instance of: scholarly article
title: Tartar's conjecture and localization of the quasiconvex hull in \(\mathbb R^{2\times 2}\)
zbMATH Open document ID: 1357.49054
author: Daniel Faraco
author: László jun. Székelyhidi
published in: Acta Mathematica
publication date: 2008-09-08T00:00:00Z
Mathematics Subject Classification ID: 49J45
Mathematics Subject Classification ID: 30G20
Mathematics Subject Classification ID: 52A20
zbMATH DE Number: 5322637
Wikidata QID: Q123122518
MaRDI profile type: Publication
full work available at URL: s11511-008-0028-1
OpenAlex ID: W1555984062
cites work: Analytic aspects of quasiconformality
cites work: Quasiregular mappings and Young measures
cites work: Q5503905
cites work: Beltrami operators in the plane
cites work: Bi-convexity and bi-martingales
cites work: Q4496183
cites work: Convexity conditions and existence theorems in nonlinear elasticity
cites work: Fine phase mixtures as minimizers of energy
cites work: Proposed experimental tests of a theory of fine microstructure and the two-well problem
cites work: Incompatible sets of gradients and metastability
cites work: Restrictions on microstructure
cites work: \(G\)-closed classes of elliptic operators in the complex plane
cites work: Q4078441
cites work: An algebraic characterization of quasi-convex functions
cites work: Equilibrium configurations of crystals
cites work: Direct methods in the calculus of variations
cites work: Compensated Compactness and General Systems of Conservation Laws
cites work: Q4085497
cites work: Tartar conjecture and Beltrami operators
cites work: Partial Differential Relations
cites work: Nonlinear Cauchy-Riemann operators in \(\mathbb{R}^{n}\)
cites work: Characterizations of Young measures generated by gradients
cites work: Q4552394
cites work: Studying Nonlinear pde by Geometry in Matrix Space
cites work: On the non-locality of quasiconvexity
cites work: Q3229047
cites work: Q5685358
cites work: Quasiconformal solutions to certain first order systems and the proof of a conjecture of G. W. Milton
cites work: On directional convexity
cites work: On functional separately convex hulls
cites work: Polycrystalline configurations that maximize electrical resistivity
cites work: Quasi-convexity and the lower semicontinuity of multiple integrals
cites work: Q4937707
cites work: Convex integration for Lipschitz mappings and counterexamples to regularity
cites work: Q4183803
cites work: Q3915478
cites work: \(C^1\) isometric imbeddings
cites work: Laminates and microstructure
cites work: Q4340161
cites work: Rank-one convexity does not imply quasiconvexity
cites work: The regularity of critical points of polyconvex functionals
cites work: On quasiconvex hulls in symmetric \(2\times 2\) matrices
cites work: Erratum: ``Rank-one convex hulls in \(\mathbb R^{2\times2}\)''
cites work: Q4295486
cites work: Q4033085
cites work: On connected subsets of M2×2 without rank-one connections
cites work: Quasiconvex functions, \(SO(n)\) and two elastic wells
DOI: 10.1007/S11511-008-0028-1
description: scientific article; zbMATH DE number 5322637