8 citations · 12 across the 7 of their papers we have counts for
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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…
Uniformization Theorems: Between Yamabe and Paneitz
Cheikh Birahim Ndiaye, Yannick Sire, Liming Sun
This paper is devoted to several existence results for a generalized version of the Yamabe problem. First, we prove the remaining global cases for the range of powers …