English

Existence results to a nonlinear p(k)-Laplacian difference equation

Analysis of PDEs 2022-07-29 v1

Abstract

In the present paper, by using variational method, the existence of non-trivial solutions to an anisotropic discrete non-linear problem involving p(k)-Laplacian operator with Dirichlet boundary condition is investigated. The main technical tools applied here are the two local minimum theorems for differentiable functionals given by Bonanno.

Keywords

Cite

@article{arxiv.1707.01432,
  title  = {Existence results to a nonlinear p(k)-Laplacian difference equation},
  author = {Mohsen Khaleghi Moghadam and Mustafa Avci},
  journal= {arXiv preprint arXiv:1707.01432},
  year   = {2022}
}

Comments

The final version of this paper will be published in Journal of Difference Equations and Applications in 2017

R2 v1 2026-06-22T20:38:41.550Z