Titre : On the existence of solutions of a nonlocal biharmonic problem 

Auteurs : Khaled Kefi,  

Revue : Advances in Pure and Applied Mathematics 

Numéro : Issue 1 (January 2021) 

Volume : 12 

Date : 2021/01/5 

DOI : 10.21494/ISTE.OP.2020.0581 

ISSN : 1869-6090 

Résumé : 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 λ > 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 Rădulescu (Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 29 (2018), 439-463). 

Éditeur : ISTE OpenScience