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.
Relaxation of isotropic functionals with linear growth defined on manifold constrained Sobolev mappings / Mucci, Domenico. - In: ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS. - ISSN 1262-3377. - 15:2(2009), pp. 295-321. [10.1051/cocv:2008026]
Relaxation of isotropic functionals with linear growth defined on manifold constrained Sobolev mappings
MUCCI, Domenico
2009
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 Y of R^N.
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