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Regularity Results for Stationary Electro-Rheological Fluids

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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 ℰ(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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Accepted March 5, 2002¶Published online August 29, 2002

Communicated by V. Šveràk

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Acerbi, E., Mingione, G. Regularity Results for Stationary Electro-Rheological Fluids. Arch. Rational Mech. Anal. 164, 213–259 (2002).

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