Existence of Solutions for Nonhomogeneous Choquard Equations Involving p-Laplacian

Xiaoyan Shi, Yulin Zhao and Haibo Chen
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Xiaoyan Shi: School of Science, Hunan University of Technology, Zhuzhou 412007, China
Yulin Zhao: School of Science, Hunan University of Technology, Zhuzhou 412007, China
Haibo Chen: School of Mathematics and Statistics, Central South University, Changsha 410083, China

Mathematics, 2019, vol. 7, issue 9, 1-17

Abstract: This paper is devoted to investigating a class of nonhomogeneous Choquard equations with perturbation involving p-Laplacian. Under suitable hypotheses about the perturbation term, the existence of at least two nontrivial solutions for the given problems is obtained using Nehari manifold and minimax methods.

Keywords: p-Laplacian; choquard equation; nonhomogeneous; nehari method; minimax methods (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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