This paper deals with the existence of nontrivial solutions for a class of nonlinear elliptic equations driven by an anisotropic Laplacian operator. In particular, the existence of two nontrivial solutions is obtained, adapting a two critical point results to a suitable functional framework that involves the anisotropic Sobolev spaces.
"Existence of two positive solutions for anisotropic nonlinear elliptic equations." Adv. Differential Equations 26 (5/6) 229 - 258, May/June 2021.