On $(p,N)$-Laplace multivalued equations with critical exponential nonlinearity in $\mathbb{R}^N$

TL;DR

This paper investigates the existence of nonnegative solutions for multivalued $(p,N)$-Laplace equations with critical exponential growth in $ ext{R}^N$, employing variational methods for non-differentiable functions.

Contribution

It introduces new existence results for multivalued $(p,N)$-Laplace problems with critical exponential nonlinearity in $ ext{R}^N$, using variational techniques.

Findings

Existence of nonnegative solutions established.

Applicable to equations with discontinuous nonlinearities.

Utilizes variational methods for non-differentiable functions.

Abstract

In this paper, we study the existence of nonnegative solutions for a class of multivalued $(p,N)$-Laplace problems having discontinuous nonlinearity with critical exponential growth in $\mathbb{R}^N$. To demonstrate the existence results, we utilized variational methods for non-differentiable functions.