Abstract
We provide several inequalities between eigenvalues of some classical eigenvalue problems on compact Riemannian manifolds with C² boundary. A key tool in the proof is the generalized Rellich identity on a Riemannian manifold. Our results in particular extend some inequalities due to Kuttler and Sigillito from subsets of R² to the manifold setting.
Original language | English |
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Number of pages | 23 |
Journal | Annales mathématiques du Québec |
Early online date | 9 Mar 2019 |
DOIs | |
Publication status | E-pub ahead of print - 9 Mar 2019 |
Keywords
- Steklov eigenvalue problems
- Eigenvalue bounds
- Rellich identity