Relaxation of isotropic functionals with linear growth defined on manifold constrained Sobolev mappings

Domenico Mucci

ESAIM: Control, Optimisation and Calculus of Variations (2009)

  • Volume: 15, Issue: 2, page 295-321
  • ISSN: 1292-8119

Abstract

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In this paper we study the lower semicontinuous envelope with respect to the L 1 -topology of a class of isotropic functionals with linear growth defined on mappings from the n -dimensional ball into N that are constrained to take values into a smooth submanifold 𝒴 of N .

How to cite

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Mucci, Domenico. "Relaxation of isotropic functionals with linear growth defined on manifold constrained Sobolev mappings." ESAIM: Control, Optimisation and Calculus of Variations 15.2 (2009): 295-321. <http://eudml.org/doc/245465>.

@article{Mucci2009,
abstract = {In this paper we study the lower semicontinuous envelope with respect to the $L^1$-topology of a class of isotropic functionals with linear growth defined on mappings from the $n$-dimensional ball into $\{\mathbb \{R\}\}^\{N\}$ that are constrained to take values into a smooth submanifold $\{\mathcal \{Y\}\}$ of $\{\mathbb \{R\}\}^\{N\}$.},
author = {Mucci, Domenico},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {relaxation; manifold constrain; BV functions; manifold constraints},
language = {eng},
number = {2},
pages = {295-321},
publisher = {EDP-Sciences},
title = {Relaxation of isotropic functionals with linear growth defined on manifold constrained Sobolev mappings},
url = {http://eudml.org/doc/245465},
volume = {15},
year = {2009},
}

TY - JOUR
AU - Mucci, Domenico
TI - Relaxation of isotropic functionals with linear growth defined on manifold constrained Sobolev mappings
JO - ESAIM: Control, Optimisation and Calculus of Variations
PY - 2009
PB - EDP-Sciences
VL - 15
IS - 2
SP - 295
EP - 321
AB - In this paper we study the lower semicontinuous envelope with respect to the $L^1$-topology of a class of isotropic functionals with linear growth defined on mappings from the $n$-dimensional ball into ${\mathbb {R}}^{N}$ that are constrained to take values into a smooth submanifold ${\mathcal {Y}}$ of ${\mathbb {R}}^{N}$.
LA - eng
KW - relaxation; manifold constrain; BV functions; manifold constraints
UR - http://eudml.org/doc/245465
ER -

References

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