Ground state sign-changing homoclinic solutions for a discrete nonlinear $p$-Laplacian equation with logarithmic nonlinearity
Analysis of PDEs
2023-11-16 v1
Abstract
By using a direct non-Nehari manifold method from [X.H. Tang, B.T. Cheng. J. Differ. Equations. 261(2016), 2384-2402.], we obtain an existence result of ground state sign-changing homoclinic solution which only changes sign one times and ground state homoclinic solution for a class of discrete nonlinear -Laplacian equation with logarithmic nonlinearity. Moreover, we prove that the sign-changing ground state energy is larger than twice of the ground state energy.
Keywords
Cite
@article{arxiv.2311.08777,
title = {Ground state sign-changing homoclinic solutions for a discrete nonlinear $p$-Laplacian equation with logarithmic nonlinearity},
author = {Xin Ou and Xingyong Zhang},
journal= {arXiv preprint arXiv:2311.08777},
year = {2023}
}