Existence of three solutions for a class of quasilinear elliptic systems involving the $p(x)$-Laplace operator

Journal: Sahand Communications in Mathematical Analysis (Vol.10, No. 1)

Publication Date: 2018-04-01

Authors : Ali Taghavi; Ghasem Alizadeh Afrouzi; Horieh Ghorbani;

Page : 47-60

Keywords : Variable exponent Sobolev space; p(x)-Laplacian; Three solutions; Dirichlet problem;

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Abstract

The aim of this paper is to obtain three weak solutions for the Dirichlet quasilinear elliptic systems on a bonded domain. Our technical approach is based on the general three critical points theorem obtained by Ricceri.

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Existence of three solutions for a class of quasilinear elliptic systems involving the $p(x)$-Laplace operator

Abstract

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