Xiaoshang Jin

collaborators

3 papers

math.DG2026

Heat dispersion laws in smooth compact manifolds

Xiaoshang Jin, Jie Xiao

Given a Lipschitz conductor $K$ in the smooth compact Riemannian $2 \leq n$ -manifold $(M, g)$ , such a half generic heat dispersion law $$ {\rm H^d}_{p,\varPhi,\varPsi}(K,M)=2^{-1} {\r…

math.DG2025

Essential $p$ -capacity-volume estimates for rotationally symmetric manifolds

Xiaoshang Jin, Jie Xiao

Given $p \in [1, \infty]$ , this article presents the novel basic volumetric estimates for the relative $p$ -capacities with their applications to finding not only the sharp weak $(p,q…

math.DG2025

Sharply estimating hyperbolic capacities

Xiaoshang Jin, Jie Xiao

This paper is devoted to establishing four types of sharp capacitary inequalities within the hyperbolic space as detailed in Theorems 2.1-3.1-4.1-5.1.

Heat dispersion laws in smooth compact manifolds

Essential p-capacity-volume estimates for rotationally symmetric manifolds

Sharply estimating hyperbolic capacities

Essential $p$ -capacity-volume estimates for rotationally symmetric manifolds