Relaxation of isotropic functionals with linear growth defined on manifold constrained Sobolev mappings
ESAIM: Control, Optimisation and Calculus of Variations, Tome 15 (2009) no. 2, pp. 295-321.

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 ${ℝ}^{N}$ that are constrained to take values into a smooth submanifold $𝒴$ of ${ℝ}^{N}$.

DOI : https://doi.org/10.1051/cocv:2008026
Classification : 49J45,  49Q20
Mots clés : relaxation, manifold constrain, BV functions
@article{COCV_2009__15_2_295_0,
author = {Mucci, Domenico},
title = {Relaxation of isotropic functionals with linear growth defined on manifold constrained Sobolev mappings},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
pages = {295--321},
publisher = {EDP-Sciences},
volume = {15},
number = {2},
year = {2009},
doi = {10.1051/cocv:2008026},
zbl = {1167.49015},
mrnumber = {2513088},
language = {en},
url = {http://www.numdam.org/item/COCV_2009__15_2_295_0/}
}
Mucci, Domenico. Relaxation of isotropic functionals with linear growth defined on manifold constrained Sobolev mappings. ESAIM: Control, Optimisation and Calculus of Variations, Tome 15 (2009) no. 2, pp. 295-321. doi : 10.1051/cocv:2008026. http://www.numdam.org/item/COCV_2009__15_2_295_0/

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