Abstract

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\mathbb{R}^N, that are constrained to take values into a smooth submanifold Y\mathcal{Y} of RN\mathbb{R}^N

Author information

Contact details are reproduced from the original publication and may be historical.

Mariano Giaquinta

Scuola Normale Superiore, Piazza dei Cavalieri 7, 56100 Pisa, Italy

giaquinta@sns.it

Domenico Mucci

Dip. di Matematica, Università di Parma, Viale G. P. Usberti 53/A, 43100 Parma, Italy

domenico.mucci@unipr.it

Suggested citation

M. Giaquinta, D. Mucci. “Relaxation Results for a Class of Functionals with Linear Growth Defined on Manifold Constrained Mappings.” Journal of Convex Analysis 15 (2008), No. 4, 719–751. https://doi.org/10.68381/jca15049

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Published by Heldermann Verlag, 2008. Rights now held by Banach Press.