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Regularity Results for Stationary Electro-Rheological Fluids
Authors:Emilio Acerbi  Giuseppe Mingione
Affiliation:Dipartimento di Matematica?Università di Parma?V. D'Azeglio 85/a?43100 Parma, Italy?e-mail: emilio.acerbi@unipr.it?e-mail: giuseppe.mingione@unipr.it, IT
Abstract:We prove regularity results for weak solutions to systems modelling electro-rheological fluids in the stationary case, as proposed in [27, 31]; a particular case of the system we consider is where ?(u) is the symmetric part of the gradient Du and the variable growth exponent p(x) is a Hölder continuous function larger than 3n/(n+2).
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