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Existence of Solutions for the Discrete Dirichlet Problem Involving - Mean Curvature Operator

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  • Jianxia Wang
  • Zhan Zhou

Abstract

This work is to discuss the Dirichlet boundary value problem of the difference equation with   -mean curvature operator. Under some determinate growth conditions on the nonlinear term, the existence of one solution or two nontrivial solutions is obtained via variational methods and some analysis techniques. Examples are also given to illustrate our theorems in the last section.

Suggested Citation

  • 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.
    • Handle: RePEc:hin:jnddns:6591523
    DOI: 10.1155/2020/6591523
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    Cited by:

    1. Feng Xiong, 2023. "Infinitely Many Solutions for Partial Discrete Kirchhoff Type Problems Involving p -Laplacian," Mathematics, MDPI, vol. 11(15), pages 1-10, July.

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