Sharp Stability of Global Compactness on the Heisenberg Group
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918057423667200 |
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| author | Chen, Hua Fan, Yun-lu Liao, Xin |
| author_facet | Chen, Hua Fan, Yun-lu Liao, Xin |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_11404 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Sharp Stability of Global Compactness on the Heisenberg Group Chen, Hua Fan, Yun-lu Liao, Xin Analysis of PDEs 35B33, 35B35, 35H20, 35J70 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. |
| title | Sharp Stability of Global Compactness on the Heisenberg Group |
| topic | Analysis of PDEs 35B33, 35B35, 35H20, 35J70 |
| url | https://arxiv.org/abs/2506.11404 |