Sobolev regularity for Convex Functionals on BD

Franz Gmeineder; Jan Kristensen

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arXiv · 1610.08565

Sobolev regularity for Convex Functionals on BD

Franz Gmeineder·Jan Kristensen

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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.

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Franz Gmeineder, Jan Kristensen. 2016-10-26. Sobolev regularity for Convex Functionals on BD. https://arxiv.org/abs/1610.08565

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