Relaxation of variational problems in two-dimensional nonlinear elasticity

DOI10.1007/s10231-005-0177-1zbMath1232.49015OpenAlexW2030708210MaRDI QIDQ661104

Omar Anza Hafsa, Jean-Philippe Mandallena

Publication date: 18 February 2012

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://www.zora.uzh.ch/id/eprint/21552/1/ZORA_NL_21552.pdf

zbMATH Keywords

relaxationdegenerate polynomial growthtwo-dimensional nonlinear elasticity

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (6)

The nonlinear membrane energy: variational derivation under the constraint ``\(\det \nabla u\neq 0\) ⋮ Relaxation of nonconvex unbounded integrals with general growth conditions in Cheeger-Sobolev spaces ⋮ Homogenization of nonconvex unbounded singular integrals ⋮ Homogenization of unbounded singular integrals in \(W^{1,\infty}\) ⋮ On the integral representation of relaxed functionals with convex bounded constraints ⋮ Homogenization of nonconvex integrals with convex growth

Cites Work

• Quasiconvexity and relaxation of nonconvex problems in the calculus of variations
• The lower quasiconvex envelope of the stored energy function for an elastic crystal
• Quasi-convexity and the lower semicontinuity of multiple integrals
• Relaxation of singular functionals defined on Sobolev spaces
• Direct methods in the calculus of variations

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