On the integral representation of relaxed functionals with convex bounded constraints

Omar Anza Hafsa

ESAIM: Control, Optimisation and Calculus of Variations (2010)

  • Volume: 16, Issue: 1, page 37-57
  • ISSN: 1292-8119

Abstract

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We study the integral representation of relaxed functionals in the multi-dimensional calculus of variations, for integrands which are finite in a convex bounded set with nonempty interior and infinite elsewhere.

How to cite

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Anza Hafsa, Omar. "On the integral representation of relaxed functionals with convex bounded constraints." ESAIM: Control, Optimisation and Calculus of Variations 16.1 (2010): 37-57. <http://eudml.org/doc/250725>.

@article{AnzaHafsa2010,
abstract = { We study the integral representation of relaxed functionals in the multi-dimensional calculus of variations, for integrands which are finite in a convex bounded set with nonempty interior and infinite elsewhere. },
author = {Anza Hafsa, Omar},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Relaxation; convex constraints; integral representation; relaxation},
language = {eng},
month = {1},
number = {1},
pages = {37-57},
publisher = {EDP Sciences},
title = {On the integral representation of relaxed functionals with convex bounded constraints},
url = {http://eudml.org/doc/250725},
volume = {16},
year = {2010},
}

TY - JOUR
AU - Anza Hafsa, Omar
TI - On the integral representation of relaxed functionals with convex bounded constraints
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2010/1//
PB - EDP Sciences
VL - 16
IS - 1
SP - 37
EP - 57
AB - We study the integral representation of relaxed functionals in the multi-dimensional calculus of variations, for integrands which are finite in a convex bounded set with nonempty interior and infinite elsewhere.
LA - eng
KW - Relaxation; convex constraints; integral representation; relaxation
UR - http://eudml.org/doc/250725
ER -

References

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