On the relaxation of nonconvex superficial integral functionals

DOI10.1016/S0021-7824(00)01184-3zbMath0977.49008OpenAlexW2007665226WikidataQ126382748 ScholiaQ126382748MaRDI QIDQ1593843

Jean-Philippe Mandallena

Publication date: 8 January 2002

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0021-7824(00)01184-3

zbMATH Keywords

integral functionalsquasiconvexityrelaxationlow dimensional structures

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Existence theories for free problems in two or more independent variables (49J10) Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (4)

The nonlinear membrane energy: variational derivation under the constraint ``\(\det \nabla u\neq 0\) ⋮ \(\Gamma\)-convergence of nonconvex integrals in Cheeger-Sobolev spaces and homogenization ⋮ Relaxation of nonconvex unbounded integrals with general growth conditions in Cheeger-Sobolev spaces ⋮ Quasiconvexification of geometric integrals

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