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Existence of Homoclinic Solutions for the Discrete p(k)-Laplacian Operator

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Abstract

In this paper, we investigate the existence of nontrivial solutions for an anisotropic discrete nonlinear problem with a p(k)-Laplacian operator. The proof of our main result is based on a local minimum theorem for differentiable functionals due to Ricceri.

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Acknowledgements

The authors would like to thank the editor and the anonymous referees for their helpful suggestions and comments.

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Authors and Affiliations

  1. Team of Modeling and Scientific Computing, Department of Mathematics, Multidisciplinary Faculty of Nador, University Mohammed First, Oujda, Morocco

    Zakaria El Allali & Mohamed Ousbika

  2. Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, TN, 37403, USA

    Lingju Kong

Authors
  1. Zakaria El Allali
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  2. Lingju Kong
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  3. Mohamed Ousbika
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Correspondence to Zakaria El Allali.

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El Allali, Z., Kong, L. & Ousbika, M. Existence of Homoclinic Solutions for the Discrete p(k)-Laplacian Operator. Qual. Theory Dyn. Syst. 21, 37 (2022). https://doi.org/10.1007/s12346-022-00568-z

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