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

Abstract

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.

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Author Biography

Omar Chakrone, University Mohammed 1st

Department of Mathematics and Computer, Laboratory Nonlinear Analysis

References

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Published
2022-12-23
Section
Research Articles