Boletim da Sociedade Paranaense de Matemática (Dec 2022)

On the maximum principle for the discrete p-laplacian with sign-changing weight

  • Hamza Cehabi,
  • Omar Chakrone,
  • Mohammed Chehabi

DOI
https://doi.org/10.5269/bspm.51806
Journal volume & issue
Vol. 41

Abstract

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This work deals with the maximum principle for the discrete Neumann or Dirichlet problem -Δφp(Δu(k - 1)) = λm(k)φp(u(k))+ h(k) in [1, n]. We study the existence and nonexistence of positive solution and its uniqueness.