On Local and Nonlocal Discrete p-Laplacian Equations via Clark’s Theorem

• Robert Steglinski ^[1]
  1. [1] Lodz University of Technology

     Lodz University of Technology

     Łódź, Polonia

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 22, Nº 2, 2023
• Idioma: inglés
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• Resumen

  • By employing Clark’s theorem we prove the existence of infinitely many homoclinic solutions to the local and nonlocal discrete p-Laplacian equations on the integers.

    Our results extend and correct the reasoning of some recent findings expressed in the literature.