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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2304.01726 |
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| _version_ | 1866911870181441536 |
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| author | Lu, Zheng Xia, Chao Zhang, Xuwen |
| author_facet | Lu, Zheng Xia, Chao Zhang, Xuwen |
| contents | In this paper, we introduce a notion of capillary Schwarz symmetrization in the half-space. It can be viewed as the counterpart of the classical Schwarz symmetrization in the framework of capillary problem in the half-space. A key ingredient is a special anisotropic gauge, which enables us to transform the capillary symmetrization to the convex symmetrization introduced in \cite{AFT97}. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_01726 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Capillary Schwarz symmetrization in the half-space Lu, Zheng Xia, Chao Zhang, Xuwen Analysis of PDEs Differential Geometry 35J25, 35J65, 49Q20 In this paper, we introduce a notion of capillary Schwarz symmetrization in the half-space. It can be viewed as the counterpart of the classical Schwarz symmetrization in the framework of capillary problem in the half-space. A key ingredient is a special anisotropic gauge, which enables us to transform the capillary symmetrization to the convex symmetrization introduced in \cite{AFT97}. |
| title | Capillary Schwarz symmetrization in the half-space |
| topic | Analysis of PDEs Differential Geometry 35J25, 35J65, 49Q20 |
| url | https://arxiv.org/abs/2304.01726 |