Existence of nontrivial solutions for a poly-Laplacian system involving concave-convex nonlinearities on locally finite graphs

• Published in: Electronic research archive Vol. 31; no. 12; pp. 7473 - 7495
• Main Authors: Yang, Ping, Zhang, Xingyong
• Format: Journal Article
• Language: English
• Published: AIMS Press 01.01.2023
• Subjects: concave-convex nonlinearities; ekeland's variational principle; locally finite graph; mountain pass theorem; poly-laplacian system

We discuss a poly-Laplacian system involving concave-convex nonlinearities and parameters subject to the Dirichlet boundary condition on locally finite graphs. It is obtained that the system admits at least one nontrivial solution of positive energy and one nontrivial solution of negative energy bas...