Partial Regularity for Symmetric-Convex Functionals of Linear Growth

Abstract

We establish partial regularity of BD-minima for variational integrals of linear growth which depend on the symmetric gradients and satisfy a weak ellipticity condition. Since there is no Korn Inequality in the $L^1$-Setup, the result does not follow from the respective result on BV due to Anzellotti and Giaquinta.

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References in corpus (1)

• On Rank-One Convex Functions that are homogeneous of Degree One