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 applicata2009Vol. 189pp. 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.