4.4 Article

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

Journal

ANNALI DI MATEMATICA PURA ED APPLICATA
Volume 189, Issue 2, Pages 335-356

Publisher

SPRINGER HEIDELBERG
DOI: 10.1007/s10231-009-0111-z

Keywords

Equations with nonstandard growth conditions; Harnack inequality; Continuity; Nonlinear Kato-class

Funding

  1. Royal Society [2006/R1]

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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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