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

Published 8 Feb 2011 in math.AP | (1102.1646v3)

Abstract: 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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