On the continuity of the polyconvex, quasiconvex and rank-oneconvex envelopes with respect to growth condition

DOI10.1017/S0308210500030924zbMath0818.49012MaRDI QIDQ4277228

Wilfrid Gangbo

Publication date: 23 July 1995

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

quasiconvexityconvexitypolyconvexityenvelopesgrowth conditionsrank-one convexity

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items

Relaxation of some functionals of the calculus of variations ⋮ The quasiconvex envelope of conformally invariant planar energy functions in isotropic hyperelasticity ⋮ \(L^p\)-mean coercivity, regularity and relaxation in the calculus of variations

Cites Work

• Unnamed Item
• An example of a quasiconvex function that is not polyconvex in two dimensions
• On Dirichlet's boundary value problem. An \(L^p\)-theory based on a generalization of Garding's inequality
• Quasi-convexity and the lower semicontinuity of multiple integrals
• Optimal design and relaxation of variational problems, I
• Nonconvex minimization problems
• Direct methods in the calculus of variations