3 papers
math.AP2025
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.…
math.AP2024
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…
math.AP2024
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…