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

Filippo Cammaroto

doi:10.56754/0719-0646.2403.0501

DOI:

https://doi.org/10.56754/0719-0646.2403.0501

Abstract

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.

Keywords

p-biharmonic operator , p-Laplacian operator , Navier problem , multiplicity

Filippo Cammaroto Department of Mathematical and Computer Sciences, Physical Sciences and Earth Sciences, University of Messina, Viale F. Stagno d‘Alcontres, 31, 98166 Messina, Italy. https://orcid.org/0000-0001-8229-8848

Pages: 501–519
Date Published: 2022-12-21
Vol. 24 No. 3 (2022)

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