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Isoperimetric inequalities for Neumann eigenvalues on bounded domains in rank-1 symmetric spaces.
- Source :
-
Calculus of Variations & Partial Differential Equations . Jun2024, Vol. 63 Issue 5, p1-12. 12p. - Publication Year :
- 2024
-
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). [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 09442669
- Volume :
- 63
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- Calculus of Variations & Partial Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 177776461
- Full Text :
- https://doi.org/10.1007/s00526-024-02726-4