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On the existence of solutions of a nonlocal biharmonic problem
Journal article   Open access  Peer reviewed

On the existence of solutions of a nonlocal biharmonic problem

Khaled Kefi
Advances in pure and applied mathematics (Berlin, Germany), Vol.12(1), pp.50-62
01/01/2021
DOI: https://doi.org/10.21494/ISTE.OP.2020.0581

Abstract

Mathematics Physical Sciences Science & Technology
This paper is concerned with the existence of an eigenvalue for a p(x)-biharmonic Kirchhoff problem with Navier boundary condition. Under some suitable conditions, we establish that any lambda > 0 is an eigenvalue. The proofs combine variational methods with energy estimates. The main results of this paper improve and generalize the previous one introduced by Kefi and Radulescu (Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 29 (2018), 439-463).
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https://doi.org/10.21494/ISTE.OP.2020.0581View
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