Regularity results for local solutions to some anisotropic elliptic equations

TL;DR

This paper investigates regularity properties of local solutions to certain anisotropic elliptic equations with coefficients in Marcinkiewicz spaces, providing new insights into their behavior without norm constraints.

Contribution

It establishes regularity results for anisotropic elliptic equations with coefficients in Marcinkiewicz spaces, extending existing theory without requiring norm bounds.

Findings

Regularity results for local solutions of anisotropic elliptic equations.

Applicability to coefficients in Marcinkiewicz spaces without norm control.

Enhanced understanding of solution behavior in anisotropic elliptic PDEs.

Abstract

In this paper we study a class of anisotropic equations with a lower order term whose coefficients lay in Marcinkiewicz spaces. We prove some regularity results for local solutions requiring any control on the norm of the coefficients.