5 papers · 1 filter
Infinitely many solutions for a biharmonic-Kirchhoff system on locally finite graphs
Xiaoyu Wang, Junping Xie, Xingyong Zhang
The study on the partial differential equations (systems) in the graph setting is a hot topic in recent years because of their applications to image processing and data clustering.…
Nontrivial solutions for a -Kirchhoff type system with concave-convex nonlinearities on locally finite graphs
Zhangyi Yu, Junping Xie, Xingyong Zhang
By using the well-known mountain pass theorem and Ekeland's variational principle, we prove that there exist at least two fully-non-trivial solutions for a -Kirchhoff ellipt…
Dependence on parameters of solutions for a generalized poly-Laplacian system on weighted graphs
Xiaoyu Wang, Junping Xie, Xingyong Zhang +1
We mainly investigate the continuous dependence on parameters of nontrivial solutions for a generalized poly-Laplacian system on the weighted finite graph . We firstly pr…
Infinitely many solutions for two generalized poly-Laplacian systems on weighted graphs
Zhangyi Yu, Junping Xie, Xingyong Zhang +1
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…
Infinitely many solutions for three quasilinear Laplacian systems on weighted graphs
Yan Pang, Junping Xie, Xingyong Zhang
We investigate a generalized poly-Laplacian system with a parameter on weighted finite graph, a generalized poly-Laplacian system with a parameter and Dirichlet boundary value on w…