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- Title
Isoperimetric inequalities for Neumann eigenvalues on bounded domains in rank-1 symmetric spaces.
- Authors
Meng, Yifeng; Wang, Kui
- Abstract
In this paper, we prove sharp isoperimetric inequalities for lower order eigenvalues of Neumann Laplacian on bounded domains in both compact and noncompact rank-1 symmetric spaces. Our results generalize the work of Wang and Xia for bounded domains in the hyperbolic space (Xia and Wang in Math Ann 385(1–2):863–879, 2023), and Szegö–Weinberger inequalities in rank-1 symmetric spaces obtained by Aithal and Santhanam (Trans Am Math Soc 348(10):3955–3965, 1996).
- Subjects
SYMMETRIC domains; ISOPERIMETRIC inequalities; SYMMETRIC spaces; EIGENVALUES; HYPERBOLIC spaces; MATHEMATICS
- Publication
Calculus of Variations & Partial Differential Equations, 2024, Vol 63, Issue 5, p1
- ISSN
0944-2669
- Publication type
Article
- DOI
10.1007/s00526-024-02726-4