On critical elliptic problems with singular Trudinger-Moser nonlinearities

TL;DR

This paper proves existence results for a class of critical elliptic problems involving singular exponential nonlinearities, expanding understanding without requiring sign conditions, even in nonsingular cases.

Contribution

It introduces new existence results for critical elliptic problems with singular nonlinearities without assuming global sign conditions.

Findings

Existence results established for singular exponential nonlinearities.

Results are valid even without sign conditions on the nonlinearity.

Advances the understanding of critical elliptic problems with singularities.

Abstract

We establish some existence results for a class of critical elliptic problems with singular exponential nonlinearities. We do not assume any global sign conditions on the nonlinearity, which makes our results new even in the nonsingular case.