Calculus of Variations and Geometric Measure Theory

D. Mucci

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

created by mucci on 18 Apr 2007
modified on 17 Nov 2009

[BibTeX]

Published Paper

Inserted: 18 apr 2007
Last Updated: 17 nov 2009

Journal: ESAIM: COCV
Volume: 15
Number: 2
Pages: 295-321
Year: 2009
Notes:

DOI: 10.1051cocv:2008026


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


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