Capillary Schwarz symmetrization in the half-space
In this article, 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 tran...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2023-06-01
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| Series: | Advanced Nonlinear Studies |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/ans-2022-0078 |
| _version_ | 1797795073236140032 |
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| author | Lu Zheng Xia Chao Zhang Xuwen |
| author_facet | Lu Zheng Xia Chao Zhang Xuwen |
| author_sort | Lu Zheng |
| collection | DOAJ |
| description | In this article, 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 Alvino et al. https:/doi.org/10.1016/S0294-1449(97)80147-3. |
| first_indexed | 2024-03-13T03:12:20Z |
| format | Article |
| id | doaj.art-e2d2e9a7233d4a2996cf552beb571cac |
| institution | Directory Open Access Journal |
| issn | 2169-0375 |
| language | English |
| last_indexed | 2024-03-13T03:12:20Z |
| publishDate | 2023-06-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Advanced Nonlinear Studies |
| spelling | doaj.art-e2d2e9a7233d4a2996cf552beb571cac2023-06-26T10:46:06ZengDe GruyterAdvanced Nonlinear Studies2169-03752023-06-0123127529310.1515/ans-2022-0078Capillary Schwarz symmetrization in the half-spaceLu Zheng0Xia Chao1Zhang Xuwen2School of Mathematical Sciences, Xiamen University, 361005, Xiamen, P. R. ChinaSchool of Mathematical Sciences, Xiamen University, 361005, Xiamen, P. R. ChinaSchool of Mathematical Sciences, Xiamen University, 361005, Xiamen, P. R. ChinaIn this article, 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 Alvino et al. https:/doi.org/10.1016/S0294-1449(97)80147-3.https://doi.org/10.1515/ans-2022-0078symmetrizationcapillary problemisoperimetric inequalityanisotropic equations35j2535j6549q20 |
| spellingShingle | Lu Zheng Xia Chao Zhang Xuwen Capillary Schwarz symmetrization in the half-space Advanced Nonlinear Studies symmetrization capillary problem isoperimetric inequality anisotropic equations 35j25 35j65 49q20 |
| title | Capillary Schwarz symmetrization in the half-space |
| title_full | Capillary Schwarz symmetrization in the half-space |
| title_fullStr | Capillary Schwarz symmetrization in the half-space |
| title_full_unstemmed | Capillary Schwarz symmetrization in the half-space |
| title_short | Capillary Schwarz symmetrization in the half-space |
| title_sort | capillary schwarz symmetrization in the half space |
| topic | symmetrization capillary problem isoperimetric inequality anisotropic equations 35j25 35j65 49q20 |
| url | https://doi.org/10.1515/ans-2022-0078 |
| work_keys_str_mv | AT luzheng capillaryschwarzsymmetrizationinthehalfspace AT xiachao capillaryschwarzsymmetrizationinthehalfspace AT zhangxuwen capillaryschwarzsymmetrizationinthehalfspace |