Three solutions for a quasilinear inclusion systems driven by a nonstandard Laplacian operator in $\mathbb{R}^N$

This paper establishes the existence of three distinct weak solutions for a class of nonhomogeneous quasilinear inclusion systems, which are governed by locally Lipschitz functionals within Orlicz-Sobolev spaces over unbounded domains $\mathbb{R}^{N}$.By employing a new three critical points theorem