Non-convexity of level sets for $k$-Hessian equations in convex ring
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
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| _version_ | 1866914668718587904 |
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| author | Wang, Zhizhang Xiao, Ling |
| author_facet | Wang, Zhizhang Xiao, Ling |
| contents | In this paper we construct explicit examples that show the sublevel sets of the solution of a $k$-Hessian equation defined on a convex ring do not have to be convex. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_07373 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-convexity of level sets for $k$-Hessian equations in convex ring Wang, Zhizhang Xiao, Ling Analysis of PDEs In this paper we construct explicit examples that show the sublevel sets of the solution of a $k$-Hessian equation defined on a convex ring do not have to be convex. |
| title | Non-convexity of level sets for $k$-Hessian equations in convex ring |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2401.07373 |