On the Local Behavior of Local Weak Solutions to some Singular Anisotropic Elliptic Equations

preprint2022arXivOpen access

Abstract

We study the local behavior of bounded local weak solutions to a class of anisotropic singular equations that involves both non-degenerate and singular operators. Throughout a parabolic approach to expansion of positivity we obtain the interior Hölder continuity, and some integral and pointwise Harnack inequalities.

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