2 papers
math.AP2026
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+\…
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…