Spectral isoperimetric inequalities for a class of mixed eigenvalue problems of the Laplacian on triangles and trapezoids

Ruifeng Chen; Jing Mao

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arXiv · 2508.11135

Spectral isoperimetric inequalities for a class of mixed eigenvalue problems of the Laplacian on triangles and trapezoids

Ruifeng Chen·Jing Mao

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Abstract

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 $\mathbb{R}^2$.

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BibTeX RIS

Ruifeng Chen, Jing Mao. 2025-08-15. Spectral isoperimetric inequalities for a class of mixed eigenvalue problems of the Laplacian on triangles and trapezoids. https://arxiv.org/abs/2508.11135

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