Modified quasilinear equations with strongly singular and critical exponential nonlinearities

TL;DR

This paper investigates the existence of multiple solutions for a class of modified quasilinear equations that exhibit strong singularities and critical exponential growth, expanding understanding of such nonlinear PDEs.

Contribution

It introduces new results on global multiplicity for modified quasilinear equations with strongly singular and critical exponential nonlinearities.

Findings

Established conditions for multiple solutions

Extended the theory of Trudinger-Moser type nonlinearities

Provided new existence results for singular PDEs

Abstract

In this paper, we study global multiplicity result for a class of modified quasilinear strongly singular equations involving the critical exponential growth of Trudinger-Moser type.