Lower bounds for the eigenvalues of negatively curved manifolds
โ Scribed by Harold Donnelly; Peter Li
- Publisher
- Springer-Verlag
- Year
- 1980
- Tongue
- French
- Weight
- 463 KB
- Volume
- 172
- Category
- Article
- ISSN
- 0025-5874
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๐ SIMILAR VOLUMES
We give a lower bound for the second smallest eigenvalue of Laplacian matrices in terms of the isoperimetric number of weighted graphs. This is used to obtain an upper bound for the real parts of the nonmaximal eigenvalues of irreducible nonnegative matrices.
## Abstract In this paper, we consider the asymptotic Dirichlet problem for the Schrรถdinger operator on a CartanโHadamard manifold with suitably pinched curvature. With potentials satisfying a certain decay rate condition, we give the solvability of the asymptotic Dirichlet problem for the Schrรถdin