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Journal of Convex Analysis 15 (2008), No. 4, 719--751
Copyright Heldermann Verlag 2008



Relaxation Results for a Class of Functionals with Linear Growth Defined on Manifold Constrained Mappings

Mariano Giaquinta
Scuola Normale Superiore, Piazza dei Cavalieri 7, 56100 Pisa, Italy
giaquinta@sns.it

Domenico Mucci
Dip. di Matematica, UniversitÓ di Parma, Viale G. P. Usberti 53/A, 43100 Parma, Italy
domenico.mucci@unipr.it



We study the lower semicontinuous envelope of a class of functionals with linear growth defined on mappings from the n-dimensional ball Bn into RN, that are constrained to take values into a smooth submanifold Y of RN.

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