Quasiconvex functions with subquadratic growth

From MaRDI portal
Publication:3976867

DOI10.1098/rspa.1991.0073zbMath0741.49016OpenAlexW2142780498MaRDI QIDQ3976867

Vladimír Šverák

Publication date: 25 June 1992

Published in: Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1991.0073




Related Items (29)

On the different notions of convexity for rotationally invariant functionsOn rank one convex functions that are homogeneous of degree oneLoss of polyconvexity by homogenizationRegularity for degenerate elliptic problems via \(p\)-harmonic approximationHomogenization of integral functionals with linear growth defined on vector-valued functionsRelaxation of signed integral functionals in BVAutomatic quasiconvexity of homogeneous isotropic rank-one convex integrandsRank-one convexity does not imply quasiconvexityRelaxation of some functionals of the calculus of variationsMicrostructures with finite surface energy: The two-well problemThe interaction between bulk energy and surface energy in multiple integralsA polyconvexity condition in dimension twoOn the condition of tetrahedral polyconvexity, arising from calculus of variationsSome computable quasiconvex multiwell models in linear subspaces without rank-one matricesSingular multiple integrals and nonlinear potentialsA regularity theorem for minimisers of quasiconvex integrals: the case 1 <p<2Models of defects in atomistic systemsOn the relaxation in \(BV(\Omega ;\mathbb{R}^ m)\) of quasi-convex integralsRegularity of almost minimizers of quasi-convex variational integrals with subquadratic growthOn the relation between polyconvexity and rank-one convexity in nonlinear elasticityAn approximation theorem for sequences of linear strains and its applicationsSome remarks on quasiconvexity and rank-one convexityUnnamed ItemPartial regularity of minimizers of quasiconvex integrals with subquadratic growthOn the non-locality of quasiconvexityOn the \(L^{1}\)-lower semicontinuity of certain convex functionals defined on \(BV\)-vector valued functionsNew convexity conditions in the calculus of variations and compensated compactness theoryCalculus of variations with differential formsGradient Young measures generated by sequences in Sobolev spaces




This page was built for publication: Quasiconvex functions with subquadratic growth