Quasilinear Choquard equations involving N-Laplacian and critical exponential nonlinearity

TL;DR

This paper investigates the existence of positive solutions for a class of quasilinear Choquard equations involving the N-Laplacian operator and nonlinearities with critical exponential growth, contributing to nonlinear analysis and PDE theory.

Contribution

It establishes the existence of positive solutions for these complex equations with critical exponential nonlinearities, advancing understanding of such PDEs.

Findings

Existence of positive solutions proven

Handling of critical exponential growth nonlinearities

Extension to N-Laplacian operators

Abstract

In the present paper, we study a class of quasilinear Choquard equations involving $N$-Laplacian and the nonlinearity with the critical exponential growth. We discuss the existence of positive solutions of such equations.