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Infinitely Many Solutions for Partial Discrete Kirchhoff Type Problems Involving p -Laplacian

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  • Feng Xiong

    (Department of Mathematical Sciences, Zhejiang Normal University, Jinhua 321004, China
    College of Mathematics and Statistics, Guangxi Normal University, Guilin 541006, China)

Abstract

In this paper, the existence of infinitely many solutions for the partial discrete Kirchhoff-type problems involving p -Laplacian is proven by exploiting the critical point theory for the first time. Moreover, by using the strong maximum principle, we acquire some sufficient conditions for the presence of infinitely many positive solutions to the boundary value problems. Our major outcomes are explained with one example.

Suggested Citation

  • Feng Xiong, 2023. "Infinitely Many Solutions for Partial Discrete Kirchhoff Type Problems Involving p -Laplacian," Mathematics, MDPI, vol. 11(15), pages 1-10, July.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:15:p:3288-:d:1203219
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    References listed on IDEAS

    as
    1. Sijia Du & Zhan Zhou, 2020. "Multiple Solutions for Partial Discrete Dirichlet Problems Involving the p -Laplacian," Mathematics, MDPI, vol. 8(11), pages 1-20, November.
    2. Ruyun Ma & Tianlan Chen & Yanqiong Lu, 2010. "Positive Periodic Solutions of Nonlinear First-Order Functional Difference Equations," Discrete Dynamics in Nature and Society, Hindawi, vol. 2010, pages 1-15, January.
    3. Jianxia Wang & Zhan Zhou, 2020. "Existence of Solutions for the Discrete Dirichlet Problem Involving - Mean Curvature Operator," Discrete Dynamics in Nature and Society, Hindawi, vol. 2020, pages 1-10, August.
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