Article
MSC:
35D05,
46E35,
49J45,
49J99,
49K27,
49K99,
73V25,
74P10,
74S30,
90C29 | MR 1415089 | Zbl 0859.49013 | DOI: 10.21136/MB.1995.126087
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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
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
Summary:
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.
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