论文标题
关于单位球上尖锐的Sobolev跟踪不平等的极端言论
Remarks on extremals of sharp Sobolev trace inequalities on the unit balls
论文作者
论文摘要
我们显示了Ache-chang最近证明的单位球上某些四阶锋利痕量不平等的极端形式的明确形式。我们还通过一些共同的协变边界条件给出了$ \ mathbb {r}^4 _+$上双谐波方程的分类结果。
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-harmonic equation on $\mathbb{R}^4_+$ with some conformally covariant boundary conditions.
