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

Domenico Mucci

ESAIM: Control, Optimisation and Calculus of Variations (2008)

  • 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 L1-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 (2008): 295-321. <http://eudml.org/doc/90915>.

@article{Mucci2008,
abstract = { In this paper we study the lower semicontinuous envelope with respect to the L1-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  $\{\cal Y\}$  of  $\{\mathbb R\}^\{N\}$. },
author = {Mucci, Domenico},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Relaxation; manifold constrain; BV functions; relaxation; manifold constraints},
language = {eng},
month = {3},
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/90915},
volume = {15},
year = {2008},
}

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
DA - 2008/3//
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 L1-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  ${\cal Y}$  of  ${\mathbb R}^{N}$.
LA - eng
KW - Relaxation; manifold constrain; BV functions; relaxation; manifold constraints
UR - http://eudml.org/doc/90915
ER -

References

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