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Harnack inequality and continuity of solutions to elliptic equations with nonstandard growth conditions and lower order terms
Authors:Vitali Liskevich  Igor I Skrypnik
Institution:1. Department of Mathematics, Swansea University, Swansea, SA2 8PP, UK
2. Institute of Applied Mathematics and Mechanics, 83114, Donetsk, Ukraine
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.
Keywords:
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