Linlin Sun

activity

20072022

most citedExtrinsic eigenvalue estimates of the Dirac operator

4 citations · 9 across the 9 of their papers we have counts for

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Showing 2021Show all

3 papers · 1 filter

math.DG2021

On $n$ -dimensional complete self-similar solutions to the mean curvature flow in $R^{n + 1}$ with nonnegative constant scalar curvature

Yong Luo, Linlin Sun, Jiabin Yin

As is well known, self-similar solutions to the mean curvature flow, including self-shrinkers, translating solitons and self-expanders, arise naturally in the singularity analysis…

math.DG2021

Brouwer degree for Kazdan-Warner equations on a connected finite graph

Linlin Sun, Liuquan Wang

We study Kazdan-Warner equations on a connected finite graph via the method of the degree theory. Firstly, we prove that all solutions to the Kazdan-Warner equation with nonzero pr…

math.AP2021

Existence results for a generalized mean field equation on a closed Riemann surface

Linlin Sun, Yamin Wang, Yunyan Yang

Let $Σ$ be a closed Riemann surface, $h$ a positive smooth function on $Σ$ , $ρ$ and $α$ real numbers. In this paper, we study a generalized mean field equation \begin{align*} -Δu=ρ…

On n-dimensional complete self-similar solutions to the mean curvature flow in Rn+1 with nonnegative constant scalar curvature

Brouwer degree for Kazdan-Warner equations on a connected finite graph

Existence results for a generalized mean field equation on a closed Riemann surface

On $n$ -dimensional complete self-similar solutions to the mean curvature flow in $R^{n + 1}$ with nonnegative constant scalar curvature