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arXiv · 2506.11404

Sharp Stability of Global Compactness on the Heisenberg Group

Hua Chen·Yun-lu Fan·Xin Liao
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Abstract

In this paper, we establish a sharp stability inequality on the Heisenberg group for functions that are close to the sum of m weakly interacting Jerison-Lee bubbles. As a consequence, we obtain a sharp quantitative stability of global compactness for non-negative functions on Heisenberg group.

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Hua Chen, Yun-lu Fan, Xin Liao. 2025-06-13. Sharp Stability of Global Compactness on the Heisenberg Group. https://arxiv.org/abs/2506.11404

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