Harnack inequality and continuity of solutions to elliptic equations with nonstandard growth conditions and lower order terms

Harnack inequality and continuity of solutions to elliptic equations with nonstandard growth conditions and lower order terms

Vitali Liskevich;Igor I. Skrypnik;Vitali Liskevich;Igor I. Skrypnik;
annali di matematica pura ed applicata 2009 Vol. 189 pp. 335-356
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liskevich2009annaliharnack

Abstract

In this paper, we prove the Harnack inequality and continuity of solutions for a general class of divergence-type elliptic equations with nonstandard growth measurable coefficients in the main part and lower order terms from nonlinear Kato-type classes.

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