Existence of Solutions for a Nonlocal Problem with Variable Exponent Operator
Received:September 19, 2020  Revised:March 11, 2021
Key Words: variational methods   nonlocal problem   critical point theory   $(p(x),q(x))$-Laplacian-like operator   weak solutions  
Fund Project:Supported by the Fundamental Research Funds for the Central Universities (Grant No.31920180041) and the Fund for Talent Introduction of Northwest Minzu University (Grant No.xbmuyjrc201907).
Author NameAffiliation
Shengui ZHANG College of Mathematics and Computer Science, Northwest Minzu University, Gansu 730030, P. R. China 
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      The purpose of this paper is to investigate a nonlocal Dirichlet problem with $(p(x),q(x))$-Laplacian-like operator originated from a capillary phenomena. Using the variational methods and the critical point theory, we establish the existence of infinitely many weak solutions for this problem.
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