2 papers
math.AP2025
Existence theory for elliptic equations of general exponential nonlinearity on finite graphs
Bobo Hua, Linlin Sun, Jiaxuan Wang
We study semilinear elliptic equations on finite graphs with fully general exponential nonlinearities, thereby extending classical equations such as the Kazdan-Warner and Chern-Sim…
math-ph2023
The existence of topological solutions to the Chern-Simons model on lattice graphs
Bobo Hua, Genggeng Huang, Jiaxuan Wang
We prove the existence of topological solutions to the self-dual Chern-Simons model and the Abelian Higgs system on the lattice graphs Z^n for n>1. This extends the results in Huan…