Solutions of nonlinear problems involving p ( x )-Laplacian operator

Advances in Nonlinear Analysis

article

Zehra Yücedağ¹ 

[1] Department of Mathematics, Dicle University

关键词: p(x)-Laplacian;    nonlocal problem;    variational methods;    Mountain Pass theorem;    Fountain theorem;   

DOI  :  10.1515/anona-2015-0044

学科分类：社会科学、人文和艺术（综合）

来源: De Gruyter

【 摘 要 】

In the present paper, by using variational principle, we obtain the existence and multiplicity of solutions of a nonlocal problem involving p ( x )-Laplacian. The problem is settled in the variable exponent Sobolev space W 0 1, p ( x ) (Ω), and the main tools are the Mountain-Pass theorem and Fountain theorem.

【 授权许可】

CC BY