Spectral isoperimetric inequalities for a class of mixed eigenvalue problems of the Laplacian on triangles and trapezoids
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917143542497280 |
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| author | Chen, Ruifeng Mao, Jing |
| author_facet | Chen, Ruifeng Mao, Jing |
| contents | In this paper, under suitable geometric constraints, we have successfully obtained characterizations for the extremum values of the functional of mixed eigenvalues of the Laplacian on triangles (or trapezoids) in the Euclidean plane $\mathbb{R}^2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_11135 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Spectral isoperimetric inequalities for a class of mixed eigenvalue problems of the Laplacian on triangles and trapezoids Chen, Ruifeng Mao, Jing Differential Geometry 35P15, 49Jxx, 35J15 In this paper, under suitable geometric constraints, we have successfully obtained characterizations for the extremum values of the functional of mixed eigenvalues of the Laplacian on triangles (or trapezoids) in the Euclidean plane $\mathbb{R}^2$. |
| title | Spectral isoperimetric inequalities for a class of mixed eigenvalue problems of the Laplacian on triangles and trapezoids |
| topic | Differential Geometry 35P15, 49Jxx, 35J15 |
| url | https://arxiv.org/abs/2508.11135 |