Boundary behavior for a singular quasi-linear elliptic equation

TL;DR

This paper investigates the boundary behavior of solutions to a class of singular quasi-linear elliptic equations, establishing fundamental properties such as existence, uniqueness, and regularity within smooth bounded domains.

Contribution

It provides new results on the boundary behavior and regularity of solutions to singular quasi-linear elliptic equations, expanding understanding of their mathematical properties.

Findings

Existence of solutions in smooth bounded domains

Uniqueness of solutions under certain conditions

Regularity and boundary behavior characterized

Abstract

In a smooth bounded domain we obtain existence, uniqueness, regularity and boundary behavior for a class of singular quasi-linear elliptic equations.