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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

Domenico Mucci
Dip. di Matematica, UniversitÓ di Parma, Viale G. P. Usberti 53/A, 43100 Parma, Italy

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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