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

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.

arXiv comment32 pages

References in corpus (2)

• A new short proof of regularity for local weak solutions for a certain class of singular parabolic equations
• Parabolic Harnack estimates for anisotropic slow diffusion

Cited by in corpus (1)

• Sign-changing concentration phenomena of an anisotropic sinh-Poisson type equation with a Hardy or Hénon term