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Existence of Solutions for Nonhomogeneous Choquard Equations Involving p-Laplacian

Author

Listed:
  • 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)

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.

Suggested Citation

  • Xiaoyan Shi & Yulin Zhao & Haibo Chen, 2019. "Existence of Solutions for Nonhomogeneous Choquard Equations Involving p-Laplacian," Mathematics, MDPI, vol. 7(9), pages 1-17, September.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:9:p:871-:d:268840
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    References listed on IDEAS

    as
    1. Tao Xie & Lu Xiao & Jun Wang, 2015. "Existence of Multiple Positive Solutions for Choquard Equation with Perturbation," Advances in Mathematical Physics, Hindawi, vol. 2015, pages 1-10, September.
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