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arXiv · 2211.10301

A Simpler Proof of Frank and Lieb's Sharp Inequality on the Heisenberg Group

Fengbo Hang·Xiaodong Wang
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Abstract

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.

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Fengbo Hang, Xiaodong Wang. 2022-11-18. A Simpler Proof of Frank and Lieb's Sharp Inequality on the Heisenberg Group. https://arxiv.org/abs/2211.10301

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