13 citations · 43 across the 17 of their papers we have counts for
17 papers
Remarks on extremals of sharp Sobolev trace inequalities on the unit balls
Cheikh Birahim Ndiaye, Liming Sun
We show explicit forms for extremals of some fourth-order sharp trace inequalities on the unit balls recently proved by Ache-Chang. We also give a classification result of the bi-h…
A slow blow up solution for the four dimensional energy critical semi linear heat equation
Tongtong Li, Liming Sun, Shumao Wang
We consider the energy critical four dimensional semi-linear heat equation \[ \partial_{t}v-Δv-v^{3}=0, \quad(t,x)\in \mathbb{R}\times \mathbb{R}^4. \] Formal computation of Filipp…
Bubble towers in the ancient solution of energy-critical heat equation
Liming Sun, Juncheng Wei, Qidi Zhang
We construct a radially smooth positive ancient solution for energy critical semi-linear heat equation in , . It blows up at the origin with the profile of m…
Non-degeneracy and quantitative stability of half-harmonic maps from to
Bin Deng, Liming Sun, Juncheng Wei
We consider half-harmonic maps from (or ) to . We prove that all (finite energy) half-harmonic maps are non-degenerate. In other words, they ar…
Sharp quantitative estimates of Struwe's Decomposition
Bin Deng, Liming Sun, Juncheng Wei
Suppose . In a seminal work, Struwe proved that if and then , whe…
Ancient finite entropy flows by powers of curvature in
Kyeongsu Choi, Liming Sun
We show the existence of non-homothetic ancient flows by powers of curvature embedded in whose entropy is finite. We determine the Morse indices and kernels of the l…