A Priori Bounds For Weak Solutions To Elliptic Equations With Nonstandard Growth

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S（2012）

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摘要

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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关键词

A priori estimates,De Giorgi iteration,Elliptic equations,Nonstandard growth,Partition of unity,Variable exponent spaces

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