Improved $C^{1,1}$ regularity for multiple membranes problem
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866911919398453248 |
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| author | Wang, Zhichao Zhou, Xin |
| author_facet | Wang, Zhichao Zhou, Xin |
| contents | We prove the $C^{1,1}$-regularity for stationary $C^{1,α}$ ($α\in(0,1)$) solutions to the multiple membrane problem. This regularity estimate was essentially used in our recent work on Yau's four minimal spheres conjecture. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_00172 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Improved $C^{1,1}$ regularity for multiple membranes problem Wang, Zhichao Zhou, Xin Analysis of PDEs Differential Geometry We prove the $C^{1,1}$-regularity for stationary $C^{1,α}$ ($α\in(0,1)$) solutions to the multiple membrane problem. This regularity estimate was essentially used in our recent work on Yau's four minimal spheres conjecture. |
| title | Improved $C^{1,1}$ regularity for multiple membranes problem |
| topic | Analysis of PDEs Differential Geometry |
| url | https://arxiv.org/abs/2308.00172 |