@ARTICLE{10.21494/ISTE.OP.2020.0581, 

TITLE={On the existence of solutions of a nonlocal biharmonic problem}, 
  
AUTHOR={Khaled Kefi, }, 
	
JOURNAL={Advances in Pure and Applied Mathematics}, 
	
VOLUME={12}, 

NUMBER={Issue 1 (January 2021)}, 
	
YEAR={2021}, 

URL={https://openscience.fr/On-the-existence-of-solutions-of-a-nonlocal-biharmonic-problem}, 
	
DOI={10.21494/ISTE.OP.2020.0581}, 
	
ISSN={1869-6090}, 
	
ABSTRACT={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).}}