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

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.

Bibliographic Details
Main Authors: Hamza Cehabi, Omar Chakrone, Mohammed Chehabi
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2022-12-01
Series:Boletim da Sociedade Paranaense de Matemática
Online Access:https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/51806