Non-autonomous overdetermined problems for the normalized p-Laplacian
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866909127476772864 |
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| author | Cadeddu, Lucio Greco, Antonio Mebrate, Benyam |
| author_facet | Cadeddu, Lucio Greco, Antonio Mebrate, Benyam |
| contents | We present existence and nonexistence results on the solution of an overdetermined problem for the normalized p-Laplacian in a bounded open set, with p ranging from 1 to infinity. More precisely we consider a non-constant Neumann condition at the boundary. The definitions and statements needed to understand the main results are recalled in detail. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_04625 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Non-autonomous overdetermined problems for the normalized p-Laplacian Cadeddu, Lucio Greco, Antonio Mebrate, Benyam Analysis of PDEs 35B06, 35N25, 35R35 We present existence and nonexistence results on the solution of an overdetermined problem for the normalized p-Laplacian in a bounded open set, with p ranging from 1 to infinity. More precisely we consider a non-constant Neumann condition at the boundary. The definitions and statements needed to understand the main results are recalled in detail. |
| title | Non-autonomous overdetermined problems for the normalized p-Laplacian |
| topic | Analysis of PDEs 35B06, 35N25, 35R35 |
| url | https://arxiv.org/abs/2209.04625 |