An existence result for a Kirchhoff $p(x)$-Laplacian equation

S. Khademloo; M. Fattah

An existence result for a Kirchhoff $p (x)$ -Laplacian equation

Authors

S. Khademloo Department of Basic Sciences, Babol (Noushirvani) University of Technology, Babol, Iran Author
M. Fattah Department of Basic Sciences, Babol (Noushirvani) University of Technology, Babol, Iran Author

Keywords:

p (x)

-Kirchhoff type operator, mountain pass theorem, nonlocal problem

Subjects:

35J20, 35J60, 34B27

Abstract

In this article, using Mountain Pass Theorem, we investigate theexistence of a nontrivial weak solution for nonlocal equationsdriven by $p (x)$ -Laplacian, under Dirichlet boundary condition.