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Lower semicontinuity of a class of integral functionals on the space of functions of bounded deformation

TitleLower semicontinuity of a class of integral functionals on the space of functions of bounded deformation
Publication TypeJournal Article
Year of Publication2017
AuthorsDal Maso, G, Orlando, G, Toader, R
JournalAdvances in Calculus of Variations
Volume10
Pagination183–207
Abstract

We study the lower semicontinuity of some free discontinuity functionals with linear growth defined on the space of functions with bounded deformation. The volume term is convex and depends only on the Euclidean norm of the symmetrized gradient. We introduce a suitable class of surface terms, which make the functional lower semicontinuous with respect to $L^1$ convergence.

DOI10.1515/acv-2015-0036

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