Sobolev regularity for Convex Functionals on BD

2016/10/26 by Gmeineder, Franz, Kristensen, Jan · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1610.08565

Abstract

We study Sobolev regularity results for minimisers of autonomous, convex variational of linear growth which depend on the symmetric gradient rather than the full gradient. This extends the results available in the literature for the BV-setting to the case of functionals whose full gradients are a priori not known to exist as matrix-valued Radon measures.

Cited by

• On BV^\mathbbA-Minimisers in two Dimensions

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