2 papers
math.DG2026
Optimal Transport and the ABP Method in Higher Codimension
Bang-Xian Han, Zhe-Feng Xu
We prove an inverse optimal-transport principle for the ABP contact set of animmersed submanifold. A fixed function on the submanifold determines, for every probability density on…
math.FA2025
A new characterization of Sobolev spaces on Lipschitz differentiability spaces
Bang-Xian Han, Zhe-Feng Xu, Zhuo-Nan Zhu
Numerous characterizations of Sobolev norms via the asymptotic behavior of non-local functionals have been established over the past decades; however, their validity beyond the PI…