Relaxation of vectorial variational problems

Roubíček, Tomáš

Mathematica Bohemica, Tome 120 (1995) no. 4, pp. 411-430

Abstract (VO)

Multidimensional vectorial non-quasiconvex variational problems are relaxed by means of a generalized-Young-functional technique. Selective first-order optimality conditions, having the form of an Euler-Weiestrass condition involving minors, are formulated in a special, rather a model case when the potential has a polyconvex quasiconvexification.

Détail

DOI : 10.21136/MB.1995.126087

Classification : 35D05, 46E35, 49J45, 49J99, 49K27, 49K99, 73V25, 74P10, 74S30, 90C29
Keywords: variational relaxation; abstract relaxed problem; first-order optimality conditions; Carathéodory integrands; quasiconvexified problem; Young measures; relaxed variational problems; minors of gradients; optimality conditions; Weierstrass-type maximum principle

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