MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
An existence result for a Kirchhoff $p(x)$-Laplacian equation
S. Khademloo, M. Fattah

Abstract

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

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Keywords: $p(x)$-Kirchhoff type operator; mountain pass theorem; nonlocal problem.

MSC: 35J20, 35J60, 34B27

Pages:  215$-$224     

Volume  68 ,  Issue  3 ,  2016