A Steiner Inequality for the Anisotropic Perimeter
In this paper, we prove the monotonicity of the anisotropic perimeter of sets of finite perimeter under Steiner symmetrization by a variational formula of volume and an inequality for the anisotropic lower outer Minkowski content. As a consequence, we give a more direct proof of the Wulff inequality...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/2989121 |
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| _version_ | 1849403142805913600 |
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| author | Jin Dai |
| author_facet | Jin Dai |
| author_sort | Jin Dai |
| collection | DOAJ |
| description | In this paper, we prove the monotonicity of the anisotropic perimeter of sets of finite perimeter under Steiner symmetrization by a variational formula of volume and an inequality for the anisotropic lower outer Minkowski content. As a consequence, we give a more direct proof of the Wulff inequality by Steiner symmetrization. |
| format | Article |
| id | doaj-art-93b865e8f2924bcc955599ea07884fbe |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-93b865e8f2924bcc955599ea07884fbe2025-08-20T03:37:20ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/2989121A Steiner Inequality for the Anisotropic PerimeterJin Dai0Department of Mathematics and StatisticsIn this paper, we prove the monotonicity of the anisotropic perimeter of sets of finite perimeter under Steiner symmetrization by a variational formula of volume and an inequality for the anisotropic lower outer Minkowski content. As a consequence, we give a more direct proof of the Wulff inequality by Steiner symmetrization.http://dx.doi.org/10.1155/2022/2989121 |
| spellingShingle | Jin Dai A Steiner Inequality for the Anisotropic Perimeter Journal of Function Spaces |
| title | A Steiner Inequality for the Anisotropic Perimeter |
| title_full | A Steiner Inequality for the Anisotropic Perimeter |
| title_fullStr | A Steiner Inequality for the Anisotropic Perimeter |
| title_full_unstemmed | A Steiner Inequality for the Anisotropic Perimeter |
| title_short | A Steiner Inequality for the Anisotropic Perimeter |
| title_sort | steiner inequality for the anisotropic perimeter |
| url | http://dx.doi.org/10.1155/2022/2989121 |
| work_keys_str_mv | AT jindai asteinerinequalityfortheanisotropicperimeter AT jindai steinerinequalityfortheanisotropicperimeter |