Existence of solutions for nonlinear p-Laplacian diference equations
Dynamical Systems
2016-06-27 v1 Analysis of PDEs
Abstract
The aim of this paper is the study of existence of solutions for non- linear p-Laplacian difference equations. In the first part, the existence of a nontrivial homoclinic solution for a discrete p-Laplacian problem is proved. The proof is based on the mountain-pass theorem of Brezis and Nirenberg. Then, we study the existence of multiple solutions for a discrete p-Laplacian boundary value problem. In this case the proof is based on the theorem of D. Averna and G. Bonanno, which ensures the existence of three critical points for a suitable functional.
Keywords
Cite
@article{arxiv.1606.07607,
title = {Existence of solutions for nonlinear p-Laplacian diference equations},
author = {L. Saavedra and S. Tersian},
journal= {arXiv preprint arXiv:1606.07607},
year = {2016}
}