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Partial Regularity for Symmetric-Convex Functionals of Linear Growth

Analysis of PDEs 2016-10-28 v1

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 L1L^{1}-Setup, the result does not follow from the respective result on BV due to Anzellotti and Giaquinta.

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Cite

@article{arxiv.1610.08943,
  title  = {Partial Regularity for Symmetric-Convex Functionals of Linear Growth},
  author = {Franz Gmeineder},
  journal= {arXiv preprint arXiv:1610.08943},
  year   = {2016}
}

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R2 v1 2026-06-22T16:34:29.458Z