Second domain variation for the $p$ - capacity and the $q$ - torsional rigidity
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866909863982923776 |
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| author | Wagner, Alfred |
| author_facet | Wagner, Alfred |
| contents | The second domain variation of the $p$-capacity and the $q$ - torsional rigidity for compact sets in $R^d, d\geq3$ with $1<p<d$ is computed. Conditions on $p$ and $q>1$ are given such that the ball is a local minimzer or maximizer of the product. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_20307 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Second domain variation for the $p$ - capacity and the $q$ - torsional rigidity Wagner, Alfred Analysis of PDEs Optimization and Control The second domain variation of the $p$-capacity and the $q$ - torsional rigidity for compact sets in $R^d, d\geq3$ with $1<p<d$ is computed. Conditions on $p$ and $q>1$ are given such that the ball is a local minimzer or maximizer of the product. |
| title | Second domain variation for the $p$ - capacity and the $q$ - torsional rigidity |
| topic | Analysis of PDEs Optimization and Control |
| url | https://arxiv.org/abs/2505.20307 |