DOI: 10.1002/mma.9621 ISSN:
Existence of nontrivial solutions for a class of poly‐Laplacian system with mixed nonlinearity on graphs
Xiaoli Yu, Xingyong Zhang, Junping Xie, Xuechen Zhang- General Engineering
- General Mathematics
We investigate the existence of nontrivial solutions for a class of poly‐Laplacian nonlinear system with mixed nonlinearity term on a locally finite graph or a finite graph. By using the mountain pass theorem, we obtain some sufficient conditions about existence of a nontrivial solution. Our results are different from some known results even for the scalar equation on graph.