Infinitely many solutions for a nonlinear Navier problem involving the p-biharmonic operator

Autor: Filippo Cammaroto
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Cubo, Vol 24, Iss 3, Pp 501-519 (2022)
Druh dokumentu: article
ISSN: 0719-0646
0716-7776
DOI: 10.56754/0719-0646.2403.0501
Popis: In this paper we establish some results of existence of infinitely many solutions for an elliptic equation involving the p-biharmonic and the p-Laplacian operators coupled with Navier boundary conditions where the nonlinearities depend on two real parameters and do not satisfy any symmetric condition. The nature of the approach is variational and the main tool is an abstract result of Ricceri. The novelty in the application of this abstract tool is the use of a class of test functions which makes the assumptions on the data easier to verify.
Databáze: Directory of Open Access Journals