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

Analysis of PDEs 2022-09-13 v2

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.

Keywords

Cite

@article{arxiv.2109.07996,
  title  = {On the Local Behavior of Local Weak Solutions to some Singular Anisotropic Elliptic Equations},
  author = {Simone Ciani and Igor I. Skrypnik and Vincenzo Vespri},
  journal= {arXiv preprint arXiv:2109.07996},
  year   = {2022}
}

Comments

32 pages