Yuxiang Li

activity

20052022

most citedBoundedness in a quasilinear fully parabolic Keller-Segel system with logistic source

50 citations · 136 across the 33 of their papers we have counts for

collaborators

33 papers

math.DG2022★ 1 cited

Uniform Convergence of Metrics on Alexandrov Surfaces with Bounded Integral Curvature

Jingyi Chen, Yuxiang Li

We prove uniform convergence of metrics $g_{k}$ on a closed surface with bounded integral curvature (measure) in the sense of A.D. Alexandrov, under the assumption that the curvature…

math.DG2021

Huber's theorem for manifolds with $L^{\frac{n}{2}}$ integrable Ricci curvatures

Bo Chen, Yuxiang Li

In this paper, we generalize Huber's finite point conformal compactification theorem to a higher dimensional manifold, which is conformally compact with $L^{\frac{n}{2}}$ integrable…

math.DG2021★ 1 cited

Manifolds for which Huber's Theorem holds

Yuxiang Li, Zihao Wang

Extensions of Huber's Theorem to higher dimensions with $L^{\frac{n}{2}}$ bounded scalar curvature have been extensively studied over the years. In this paper, we delve into the prop…

math.AP2020★ 1 cited

Minimizers of nonlocal interaction functional with exogenous potential

Wanwan Wang, Yuxiang Li

The purpose of this paper is to consider the minimization problem of the following nonlocal interaction functional \begin{equation*} E[ρ]=\frac{1}{2}\int_{\mathbb{R}^N} \int_{\math…

math.DG2019

Metrics On A Surface With Bounded Total Curvature

Yuxiang Li, Jianxin Sun, Hongyan Tang

Let $g = e^{2 u} (d x^{2} + d y^{2})$ be a conformal metric defined on the unit disk of $C$ . We give an estimate of $∥\nabla u ∥_{L^{2, \infty} (D_{\frac{1}{2}})}$ when $∥ K (g) ∥_{L^{1}}$ …

math.DG2019★ 2 cited

$W^{1, p}$ -metrics and conformal metrics with $L^{n /2}$ -bounded scalar curvature

Conghan Dong, Yuxiang Li, Ke Xu

A $W^{1, p}$ -metric on an $n$ -dimensional closed Riemannian manifold naturally induces a distance function, provided $p$ is sufficiently close to $n$ . If a sequence of metrics $g_{k}$ …