论文标题
弗兰克（Frank）和利布（Lieb）对海森伯格集团（Heisenberg Group）的急剧不平等的简单证明
A Simpler Proof of Frank and Lieb's Sharp Inequality on the Heisenberg Group
论文作者
论文摘要
我们简单地证明了海森伯格集团上尖锐的弗兰克·莱布不平等。证明绕过了最小化的复杂论点，并基于使用其基本技术对亚临界功能的第二变化的研究。
We give a simpler proof of the sharp Frank-Lieb inequality on the Heisenberg group. The proof bypasses the sophisticated argument for existence of a minimizer and is based on the study of the 2nd variation of subcritical functionals using their fundamental techniques.
