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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2409.04021 |
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| _version_ | 1866917770216603648 |
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| author | Suzuki, Takashi Tsuchiya, Takuya |
| author_facet | Suzuki, Takashi Tsuchiya, Takuya |
| contents | We study Hadamard's variational formula for simple eigenvalues under dynamical and conformal deformations. Particularly, harmonic convexity of the first eigenvalue of the Laplacian under the mixed boundary condition is established for two-dimensional domain, which implies several new inequalities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_04021 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Hadamard's variational formula for simple eigenvalues Suzuki, Takashi Tsuchiya, Takuya Analysis of PDEs 35J25, 35R35 We study Hadamard's variational formula for simple eigenvalues under dynamical and conformal deformations. Particularly, harmonic convexity of the first eigenvalue of the Laplacian under the mixed boundary condition is established for two-dimensional domain, which implies several new inequalities. |
| title | Hadamard's variational formula for simple eigenvalues |
| topic | Analysis of PDEs 35J25, 35R35 |
| url | https://arxiv.org/abs/2409.04021 |