Three solutions for elliptic Dirichlet boundary value problem with singular weight

TL;DR

This paper establishes the existence of multiple solutions for a p-Laplacian boundary value problem involving singular weights and disturbances, using Ricceri's theorem.

Contribution

It introduces new existence results for elliptic problems with singular weights and disturbances, expanding the applicability of Ricceri's theorem.

Findings

Proved existence of two non-trivial weak solutions

Applied Ricceri's theorem to singular weighted problems

Extended solution frameworks for elliptic boundary value problems

Abstract

In this paper we prove the~existence of two non-trivial weak solutions of Dirichlet boundary value problem for p-Laplacian problem with a~singular part and two disturbances satisfying the~proper assumptions. The~abstract existence result we use is the~famous Ricceri theorem.