1 citations · 1 across the 4 of their papers we have counts for
4 papers
Nonlocal Characterizations of Stochastic Completeness on Complete Riemannian Manifolds
Rui Chen, Bobo Hua
In this paper, we first prove that the following generalized conservation principle holds on complete Riemannian manifolds: for every \(0<s<1\) and \(t>0\), \[ T_t^{(s)}\mathbf 1+\…
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…
The well-posedness of generalized nonlinear wave equations on the lattice graph
Bobo Hua, Jiajun Wang
In this paper, we introduce a novel first-order derivative for functions on a lattice graph, and establish its weak (1, 1) estimate as well as strong (p, p) estimate for p > 1 in w…
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…