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

Mucci, Domenico

doi:10.1051/cocv:2008026

Mucci, Domenico

ESAIM: Control, Optimisation and Calculus of Variations, Tome 15 (2009) no. 2, pp. 295-321

Résumé

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 $ℝ^{N}$ .

MR Zbl | 1 citation dans Numdam

DOI : 10.1051/cocv:2008026

Classification : 49J45, 49Q20
Keywords: relaxation, manifold constrain, BV functions

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     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},
     year = {2009},
     publisher = {EDP Sciences},
     volume = {15},
     number = {2},
     doi = {10.1051/cocv:2008026},
     mrnumber = {2513088},
     zbl = {1167.49015},
     language = {en},
     url = {https://www.numdam.org/articles/10.1051/cocv:2008026/}
}

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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, Tome 15 (2009) no. 2, pp. 295-321. doi: 10.1051/cocv:2008026

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