Liming Sun

activity

20182022

most citedSharp quantitative estimates of Struwe's Decomposition

8 citations · 12 across the 7 of their papers we have counts for

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4 papers · 1 filter

math.DG2020★ 2 cited

Ancient finite entropy flows by powers of curvature in $R^{2}$

Kyeongsu Choi, Liming Sun

We show the existence of non-homothetic ancient flows by powers of curvature embedded in $R^{2}$ whose entropy is finite. We determine the Morse indices and kernels of the l…

math.DG2019

Convexity of constant mean curvature graphs in $R^{n + 1}$ with planar boundary

Joel Spruck, Liming Sun

We study the Dirichlet problem for a graph $Σ$ in $R^{n + 1}$ with normalized constant mean curvature $H > 0$ and planar boundary $Γ = \partial Ω$ . Our main result is that the o…

math.DG2019

Convexity of 2-convex translating solitons to the mean curvature flow in $R^{n + 1}$

Joel Spruck, Liming Sun

We prove that any complete immersed globally orientable uniformly 2-convex translating soliton $Σ \subset R^{n + 1}$ for the mean curvature flow is locally strictly convex. I…

math.DG2018

The Han-Li conjecture in constant scalar curvature and constant boundary mean curvature problem on compact manifolds

Xuezhang Chen, Yuping Ruan, Liming Sun

The Han-Li conjecture states that: Let $(M, g_{0})$ be an $n$ -dimensional $(n \geq 3)$ smooth compact Riemannian manifold with boundary having positive (generalized) Yamabe constant an…

Ancient finite entropy flows by powers of curvature in R2

Convexity of constant mean curvature graphs in Rn+1 with planar boundary

Convexity of 2-convex translating solitons to the mean curvature flow in Rn+1

The Han-Li conjecture in constant scalar curvature and constant boundary mean curvature problem on compact manifolds

Ancient finite entropy flows by powers of curvature in $R^{2}$

Convexity of constant mean curvature graphs in $R^{n + 1}$ with planar boundary

Convexity of 2-convex translating solitons to the mean curvature flow in $R^{n + 1}$