In this paper we study the lower semicontinuous envelope of a class of functionals with linear growth defined on mappings from the n-dimensional ball into R^N that are constrained to take values into a smooth submanifold Y of R^N.
Relaxation results for a class of functionals with linear growth defined on manifold constrained mappings / Giaquinta, M.; Mucci, Domenico. - In: JOURNAL OF CONVEX ANALYSIS. - ISSN 0944-6532. - 15:4(2008), pp. 719-751.
Relaxation results for a class of functionals with linear growth defined on manifold constrained mappings
MUCCI, Domenico
2008
Abstract
In this paper we study the lower semicontinuous envelope of a class of functionals with linear growth defined on mappings from the n-dimensional ball into R^N that are constrained to take values into a smooth submanifold Y of R^N.
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