Relaxation of isotropic functionals with linear growth defined on manifold constrained Sobolev mappings
Domenico Mucci (2009)
ESAIM: Control, Optimisation and Calculus of Variations
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In this paper we study the lower semicontinuous envelope with respect to the -topology of a class of isotropic functionals with linear growth defined on mappings from the -dimensional ball into that are constrained to take values into a smooth submanifold of .