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

• El Allali, Zakaria ^[2] ; Kong, Lingju ^[1] ; Ousbika, Mohamed ^[2]
  1. [1] University of Tennessee at Chattanooga

     University of Tennessee at Chattanooga

     Estados Unidos

     
  2. [2] University Mohammed First (Morocco)
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 21, Nº 2, 2022
• Idioma: inglés
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• Resumen

  • 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.