Relaxation of isotropic functionals with linear growth defined on manifold constrained Sobolev mappings
Dipartimento di Matematica dell'Università di Parma, Viale G. P. Usberti 53/A, 43100
Parma, Italy; firstname.lastname@example.org
In this paper we study the lower semicontinuous envelope with respect to the L1-topology of a class of isotropic functionals with linear growth defined on mappings from the n-dimensional ball into that are constrained to take values into a smooth submanifold of .
Mathematics Subject Classification: 49J45 / 49Q20
Key words: Relaxation / manifold constrain / BV functions
© EDP Sciences, SMAI, 2008