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Existence and regularity results for some variational problems related to harmonic maps

✍ Scribed by Atsushi Tachikawa

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 443 KB
Volume: 47
Category: Article
ISSN: 0362-546X
DOI: 10.1016/s0362-546x(01)00303-0

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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