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arXiv · 2109.07996

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

Simone Ciani·Igor I. Skrypnik·Vincenzo Vespri
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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 H\"older continuity, and some integral and pointwise Harnack inequalities.

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Simone Ciani, Igor I. Skrypnik, Vincenzo Vespri. 2021-09-16. On the Local Behavior of Local Weak Solutions to some Singular Anisotropic Elliptic Equations. https://doi.org/10.1515/anona-2022-0275

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