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On fractional discrete p-Laplacian equations via Clark’s theorem

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  • Ju, Chunming
  • Zhang, Binlin

Abstract

In this article, we are interested in the fractional discrete p-Laplacian equations on the integers involving different nonlinearities. By employing Clark’s theorem and its variants, we prove the multiplicity of homoclinic solutions to the above equations.

Suggested Citation

  • Ju, Chunming & Zhang, Binlin, 2022. "On fractional discrete p-Laplacian equations via Clark’s theorem," Applied Mathematics and Computation, Elsevier, vol. 434(C).
  • Handle: RePEc:eee:apmaco:v:434:y:2022:i:c:s0096300322005173
    DOI: 10.1016/j.amc.2022.127443
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    References listed on IDEAS

    as
    1. Yong Wu & Bouali Tahar & Guefaifia Rafik & Abita Rahmoune & Libo Yang, 2022. "The Existence and Multiplicity of Homoclinic Solutions for a Fractional Discrete p −Laplacian Equation," Mathematics, MDPI, vol. 10(9), pages 1-16, April.
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