Some recent results on singular p-Laplacian equations

TL;DR

This paper reviews recent advances in the mathematical analysis of singular p-Laplacian equations, focusing on existence, multiplicity, and uniqueness of solutions, especially with convective reactions, in bounded and unbounded domains.

Contribution

It provides a concise overview of recent theoretical results on singular p-Laplacian problems, highlighting new existence and uniqueness findings with a focus on convective reactions.

Findings

Recent existence and multiplicity results for singular p-Laplacian equations.

Uniqueness results in specific boundary conditions.

Comprehensive bibliography of related research.

Abstract

A short account of some recent existence, multiplicity, and uniqueness results for singular p-Laplacian problems either in bounded domains or in the whole space is performed, with a special attention to the case of convective reactions. An extensive bibliography is also provided.