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Global stress regularity of convex and some nonconvex variational problems

✍ Scribed by Dorothee Knees

Publisher: Springer
Year: 2007
Tongue: English
Weight: 467 KB
Volume: 187
Category: Article
ISSN: 0373-3114
DOI: 10.1007/s10231-006-0039-5

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## Abstract We first study the minimizers, in the class of convex functions, of an elliptic functional with nonhomogeneous Dirichlet boundary conditions. We prove __C__^1^ regularity of the minimizers under the assumption that the upper envelope of admissible functions is __C__^1^. This condition i