3 papers
math.AP2025
Least energy solutions of two asymptotically cubic Kirchhoff equations on locally finite graphs
Zhangyi Yu, Xingyong Zhang, Xin Ou
We study the existence of least energy solutions for two Kirchhoff equations with the asymptotically cubic nonlinearity on a locally weighted and connected fini…
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
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…