Abstract
AbstractBy using a direct non-Nehari manifold method from (Tang and Cheng in J. Differ. Equ. 261:2384–2402, 2016), we obtain an existence result of ground-state sign-changing homoclinic solutions that only changes sign once and ground-state homoclinic solutions for a class of discrete nonlinear p-Laplacian equations with logarithmic nonlinearity. Moreover, we prove that the sign-changing ground-state energy is larger than twice the ground-state energy.
Funder
Yunnan Fundamental Research Projects
Yunnan Ten Thousand Talents Plan Young & Elite Talents Project
Publisher
Springer Science and Business Media LLC
Reference24 articles.
1. Chang, K.C.: Methods in Nonlinear Analysis. Springer, Berlin (2005)
2. Chang, X.J., Wang, R., Yan, D.K.: Ground states for logarithmic Schrödinger equations on locally finite graphs. J. Geom. Anal. 33, 211 (2023)
3. Chen, G.W., Ma, S.W.: Discrete nonlinear Schrödinger equations with superlinear nonlinearities. Appl. Math. Comput. 218, 5496–5507 (2012)
4. Chen, P., Tang, X.H.: Infinitely many homoclinic solutions for the second-order discrete p-Laplacian systems. Bull. Belg. Math. Soc. Simon Stevin 20, 193–212 (2013)
5. Chen, S.T., Tang, X.H., Yu, J.S.: Sign-changing ground state solutions for discrete nonlinear Schödinger equations. J. Differ. Equ. Appl. 25, 202–218 (2019)