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arXiv:1102.1646 [math.AP]AbstractReferencesReviewsResources

A priori bounds for weak solutions to elliptic equations with nonstandard growth

Patrick Winkert, Rico Zacher

Published 2011-02-08, updated 2015-10-02Version 3

In this paper we study elliptic equations with a nonlinear conormal derivative boundary condition involving nonstandard growth terms. By means of the localization method and De Giorgi's iteration technique we derive global a priori bounds for weak solutions of such problems.

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