A bifurcation analysis on a nonlocal overdetermined problem
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866913609543581696 |
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| author | Sato, Kazuki Takahashi, Futoshi |
| author_facet | Sato, Kazuki Takahashi, Futoshi |
| contents | In this paper, we study an overdetermined problem with Kirchhoff type nonlocal terms related to the celebrated work by Serrin. We obtain the precise number of solutions according to the value of the bifurcation parameter and study asymptotics of bifurcation curves of solutions when the bifurcation parameter is large in some cases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_09194 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A bifurcation analysis on a nonlocal overdetermined problem Sato, Kazuki Takahashi, Futoshi Analysis of PDEs 34C23, 37G99 In this paper, we study an overdetermined problem with Kirchhoff type nonlocal terms related to the celebrated work by Serrin. We obtain the precise number of solutions according to the value of the bifurcation parameter and study asymptotics of bifurcation curves of solutions when the bifurcation parameter is large in some cases. |
| title | A bifurcation analysis on a nonlocal overdetermined problem |
| topic | Analysis of PDEs 34C23, 37G99 |
| url | https://arxiv.org/abs/2412.09194 |