Relaxation of vectorial variational problems

Tomáš Roubíček

Mathematica Bohemica (1995)

  • Volume: 120, Issue: 4, page 411-430
  • ISSN: 0862-7959

Abstract

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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.

How to cite

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Roubíček, Tomáš. "Relaxation of vectorial variational problems." Mathematica Bohemica 120.4 (1995): 411-430. <http://eudml.org/doc/247811>.

@article{Roubíček1995,
abstract = {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.},
author = {Roubíček, Tomáš},
journal = {Mathematica Bohemica},
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},
language = {eng},
number = {4},
pages = {411-430},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Relaxation of vectorial variational problems},
url = {http://eudml.org/doc/247811},
volume = {120},
year = {1995},
}

TY - JOUR
AU - Roubíček, Tomáš
TI - Relaxation of vectorial variational problems
JO - Mathematica Bohemica
PY - 1995
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 120
IS - 4
SP - 411
EP - 430
AB - 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.
LA - eng
KW - 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
UR - http://eudml.org/doc/247811
ER -

References

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