On the lowest eigenvalue of the Hodge Laplacian on compact, negatively curved domains
β Scribed by Alessandro Savo
- Publisher
- Springer
- Year
- 2008
- Tongue
- English
- Weight
- 260 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0232-704X
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π SIMILAR VOLUMES
The importance of eigenvalue problems concerning the Laplacian is well documented in classical and modern literature. Finding the eigenvalues for various geometries of the domains has posed many challenges which include infinite systems of algebraic equations, asymptotic methods, integral equations
The ΓΏrst nonlinear eigenvalue of the p-Laplacian (p ΒΏ 2) is investigated for a compact manifold of nonnegative Ricci curvature with or without boundary. Lower bound estimates are given by the diameter or the inscribed radius. The key ingredients in proofs are the formula of Bochner-Weitz onbeck type