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

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.