0000000000965651
AUTHOR
A. Sciammetta
Existence of non-zero solutions for a Dirichlet problem driven by (p(x),q(x)-Laplacian
The paper focuses on a Dirichlet problem driven by the (Formula presented.) -Laplacian. The existence of at least two non-zero solutions under suitable conditions on the nonlinear term is established. The approach is based on variational methods.
Existence of two positive solutions for anisotropic nonlinear elliptic equations
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.