Existence of two non-zero weak solutions for a $p(\cdot)$-biharmonic problem with Navier boundary conditions

Gabriele Bonanno; Antonia Chinnì; Vicenţiu D. Rădulescu

doi:10.4171/rlm/1025

JournalsrlmVol. 34, No. 3pp. 727–743

Existence of two non-zero weak solutions for a $p (\cdot)$ -biharmonic problem with Navier boundary conditions

Gabriele Bonanno
Università di Messina, Italy
Antonia Chinnì
University of Messina, Italy
Vicenţiu D. Rădulescu
University of Craiova, Romania

$Existence of two non-zero weak solutions for a $p(\cdot)$-biharmonic problem with Navier boundary conditions cover$

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Abstract

In this paper, the existence of non-trivial weak solutions for some problems with Navier boundary conditions driven by the $p (\cdot)$ -biharmonic operator is investigated. The proofs combine variational methods with topological arguments.

Cite this article

Gabriele Bonanno, Antonia Chinnì, Vicenţiu D. Rădulescu, Existence of two non-zero weak solutions for a $p (\cdot)$ -biharmonic problem with Navier boundary conditions. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 34 (2023), no. 3, pp. 727–743

DOI 10.4171/RLM/1025