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math.AP2022
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…
math.AP2022
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…