Quasiconvex functions incorporating volumetric constraints are rank-one convex
type: Item
instance of: scholarly article
title: Quasiconvex functions incorporating volumetric constraints are rank-one convex
zbMATH Open document ID: 1146.49009
author: Sergio Conti
published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série
publication date: 2008-08-06T00:00:00Z
Mathematics Subject Classification ID: 49J45
Mathematics Subject Classification ID: 26B25
zbMATH DE Number: 5306984
zbMATH Keywords: quasiconvexity
zbMATH Keywords: volumetric constraint
MaRDI profile type: Publication
full work available at URL: j.matpur.2008.04.009
OpenAlex ID: W1980578528
cites work: RELAXATION OF SOME TRANSVERSALLY ISOTROPIC ENERGIES AND APPLICATIONS TO SMECTIC A ELASTOMERS
cites work: Convexity conditions and existence theorems in nonlinear elasticity
cites work: Some Open Problems in Elasticity
cites work: Regularity of quasiconvex envelopes
cites work: \(W^{1,p}\)-quasiconvexity and variational problems for multiple integrals
cites work: Single-slip elastoplastic microstructures
cites work: Direct methods in the calculus of variations
cites work: On a partial differential equation involving the Jacobian determinant
cites work: Macroscopic response of nematic elastomers via relaxation of a class of \(SO(3)\)-invariant energies
cites work: Variational methods for crystalline microstructure. Analysis and computation
cites work: The lower quasiconvex envelope of the stored energy function for an elastic crystal
cites work: Partial Differential Relations
cites work: Q4704629
cites work: Q3229047
cites work: Quasi-convexity and the lower semicontinuity of multiple integrals
cites work: Q4942220
cites work: Quasiconvexity is not invariant under transposition
cites work: Q4260840
cites work: Convex integration with constraints and applications to phase transitions and partial differential equations
cites work: Convex integration for Lipschitz mappings and counterexamples to regularity
cites work: \(C^1\) isometric imbeddings
cites work: Rank-one convexity does not imply quasiconvexity
DOI: 10.1016/J.MATPUR.2008.04.009
description: scientific article; zbMATH DE number 5306984