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

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.