Geodesic
Relaxation of vectorial variational problems
Mathematica Bohemica, Tome 120 (1995) no. 4, pp. 411-430

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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.
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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     title = {Relaxation of vectorial variational problems},
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Roubíček, Tomáš. Relaxation of vectorial variational problems. Mathematica Bohemica, Tome 120 (1995) no. 4, pp. 411-430. doi: 10.21136/MB.1995.126087

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