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

Published online by Cambridge University Press:  28 March 2008

Domenico Mucci*
Affiliation:
Dipartimento di Matematica dell'Università di Parma, Viale G. P. Usberti 53/A, 43100 Parma, Italy; domenico.mucci@unipr.it
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Abstract

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

Type
Research Article
Copyright
© EDP Sciences, SMAI, 2008

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