| 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
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| 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). |
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| Abstract: |
| 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. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2022.01.005 |
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