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A transmission problem in the calculus of variations
Authors:E. Acerbi  N. Fusco
Affiliation:(1) Dipartimento di Matematica, V. D'Azeglio 85, I-43100 Parma, Italy;(2) Dipartimento di Matematica e Appl., Complesso M. S. Angelo V. Cinthia, I-80121 Napoli, Italy
Abstract:We study hölder regularity of minimizers of the functional
$$int_Omega  {left| {Du} right|^{pleft( x right)} dx} $$
, wherep(x) takes only two values and jumps across a Lipschitz surface. No restriction on the two values is imposed.This article was processed by the author using the Springer-Verlag TEX PJourlg macro package 1991.
Keywords:49N60  35B85  73V25
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