10 citations · 29 across the 32 of their papers we have counts for
36 papers
Optimal transport to non-convex polyhedral domains
Shibing Chen, Qi-Rui Li, Yuanyuan Li +2
We study optimal transport with a non-convex polyhedral target in . The closure of the singular set is locally a smooth hypersurface outside a relatively closed set o…
The isoperimetric inequality and CMC hypersurfaces in Cartan-Hadamard manifolds
Shibing Chen, Mohammad Ghomi, Peng Wang
We show that the sharp Euclidean isoperimetric inequality holds for domains in complete simply connected Riemannian -manifolds of nonpositive sectional curvature, …
The Cartan-Hadamard conjecture in dimension five
Shibing Chen, Mohammad Ghomi, Peng Wang
We show that the sharp Euclidean isoperimetric inequality holds for domains in complete simply connected Riemannian -manifolds of nonpositive sectional curvature, which establis…
Global Regularity in Optimal Transport
Shibing Chen, Yuanyuan Li, Xianduo Wang
In this paper we establish global estimates for the convex potentials of quadratic optimal transport between bounded convex domains with continuous positive densities. Al…
Nonradial stable solutions near the Joseph--Lundgren threshold
Shibing Chen, Yong Liu, Juncheng Wei +1
We study positive stable solutions of the supercritical Lane--Emden equation in the first Joseph--Lundgren interval. For a family of dimensions, we construct nonradial stable entir…
The many-body Blaschke-Santaló type inequality via optimal transport
Shibing Chen, Yuanyuan Li, Dongmeng Xi +1
Let be origin-symmetric measurable sets of finite volume such that \[ \sum_{1\le i<j\le k}\langle x_i,x_j\rangle\le \binom{k}{2}, \qquad \forall\…