Infinitely many solutions for two generalized poly-Laplacian systems on
weighted graphs
Infinitely many solutions for two generalized poly-Laplacian systems on
weighted graphs
We investigate the multiplicity of solutions for a generalized poly-Laplacian system on weighted finite graphs and a generalized poly-Laplacian system with Dirichlet boundary value on weighted locally finite graphs, respectively, via the variational methods which are based on mountain pass theorem and topological degree theory. We obtain that these two …