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

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

2011-02-08

arxiv.org/abs/1102.1646v2

Mathematics

Analysis of PDEs

14 pages

Scientific paper

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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