ABSTRACT
The paper focuses on a Dirichlet problem driven by the -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.
Acknowledgments
The authors have been partially supported by the Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni (GNAMPA) of the Istituto Nazionale di Alta Matematica (INdAM). The paper is partially supported by PRIN 2017- Progetti di Ricerca di rilevante Interesse Nazionale, ‘Nonlinear Differential Problems via Variational, Topological and Set-valued Methods’ (2017AYM8XW).
Disclosure statement
No potential conflict of interest was reported by the author(s).