Existence results of infinitely many solutions for p(x)-Kirchhoff type triharmonic operator with Navier boundary conditions

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:478

Article

Rahal, Belgacem¹ 

[1] Inst Super Sci Appl & Technol Kairouan, Ave Beit El Hikma, Kairouan 3100, Tunisia

关键词: Variational method;    p(x)-Triharmonic operator;    Kirchhoff type equation;    Nonlocal problem;    Navier boundary conditions;    Generalized Lebesgue-Sobolev spaces;   

DOI  :  10.1016/j.jmaa.2019.06.006

来源: Elsevier

【 摘 要 】

This paper is concerned with the existence of weak solutions to a class of nonlinear elliptic Navier boundary value problem involving the p(x)-Kirchhoff type triharmonic operator. By means of a variational approach and the theory of the variable exponent Sobolev spaces, we establish conditions ensuring the existence of weak solutions for the problem. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free