The Hadamard variational formula for Riesz capacity and its applications
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866929303800774656 |
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| author | Zhang, Lu |
| author_facet | Zhang, Lu |
| contents | In this paper, our focus lies on a fundamental geometric invariant known as Riesz capacity, which holds an essential position in potential theory. We establish the Hadamard variational formula for Riesz capacity of convex bodies. As a meaningful application, we derive a Serrin-type symmetry result for an overdetermined problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_04060 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Hadamard variational formula for Riesz capacity and its applications Zhang, Lu Analysis of PDEs In this paper, our focus lies on a fundamental geometric invariant known as Riesz capacity, which holds an essential position in potential theory. We establish the Hadamard variational formula for Riesz capacity of convex bodies. As a meaningful application, we derive a Serrin-type symmetry result for an overdetermined problem. |
| title | The Hadamard variational formula for Riesz capacity and its applications |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2404.04060 |