Back to Search
Start Over
The second Robin eigenvalue in non-compact rank-1 symmetric spaces
- Publication Year :
- 2022
-
Abstract
- In this paper, we prove a quantitative spectral inequality for the second Robin eigenvalue in non-compact rank-1 symmetric spaces. In particular, this shows that for bounded domains in non-compact rank-1 symmetric spaces, the geodesic ball maximises the second Robin eigenvalue among domains of the same volume, with negative Robin parameter in the regime connecting the first nontrivial Neumann and Steklov eigenvalues. This result generalises the work of Freitas and Laugesen in the Euclidean setting [FL21] as well as our previous work in the hyperbolic space [LWW20].<br />Comment: 16 pages. Comments are welcome. arXiv admin note: substantial text overlap with arXiv:2003.03087
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2208.07546
- Document Type :
- Working Paper