Existence and asymptotic behavior of solution to a singular elliptic problem

TL;DR

This paper establishes the existence and asymptotic behavior of positive solutions to a singular elliptic boundary value problem using comparison methods and sub-super solutions.

Contribution

It introduces a novel approach combining truncation of singularities with classical comparison techniques to prove existence results.

Findings

Existence of positive solutions under certain conditions

Asymptotic behavior characterized for solutions

Method applicable to a class of singular elliptic problems

Abstract

In this paper we obtain existence results for the positive solution of a singular elliptic boundary value problem. To prove the main results we use comparison arguments and the method of sub-super solutions combined with a procedure which truncates the singularity.