Karpukhin, Mikhail;
Kokarev, Gerasim;
Polterovich, Iosif;
(2014)
Multiplicity bounds for Steklov eigenvalues on Riemannian surfaces.
Annales de l’institut Fourier
, 64
(6)
pp. 2481-2502.
10.5802/aif.2918.
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Abstract
We prove two explicit bounds for the multiplicities of Steklov eigenvalues on compact surfaces with boundary. One of the bounds depends only on the genus of a surface and the index of an eigenvalue, while the other depends as well on the number of boundary components. We also show that on any given Riemannian surface with smooth boundary the multiplicities of Steklov eigenvalues are uniformly bounded in .
| Type: | Article |
|---|---|
| Title: | Multiplicity bounds for Steklov eigenvalues on Riemannian surfaces |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.5802/aif.2918 |
| Publisher version: | https://doi.org/10.5802/aif.2918 |
| Language: | English |
| Additional information: | This version is the author-accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | Steklov problem, eigenvalue multiplicity, Riemannian surface |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/10201289 |
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