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Lower bounds for the first eigenvalue of the p-Laplace operator on compact manifolds with nonnegative Ricci curvature
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Huichun Zhang
Published/Copyright:
February 16, 2007
Abstract
We present some lower bound estimates for the first eigenvalue of p-Laplace operators on compact Riemannian manifolds with quasi-positive (or nonnegative) Ricci curvature in terms of diameter of the manifolds. For compact manifolds with boundary, we consider the Dirichlet eigenvalue problem with some proper hypothesis.
Received: 2006-01-10
Revised: 2006-05-02
Published Online: 2007-02-16
Published in Print: 2007-01-26
© Walter de Gruyter 2007
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Articles in the same Issue
- The ovoidal hyperplanes of a dual polar space of rank 4
- Jørgensen's inequality for metric spaces with application to the octonions
- On multiple blocking sets in Galois planes
- On twisted tensor product group embeddings and the spin representation of symplectic groups
- Projective ovoids and generalized quadrangles
- Multiple farthest points on Alexandrov surfaces
- Stiefel—Whitney classes for coherent real analytic sheaves
- On Weddle surfaces and their moduli
- Lower bounds for the first eigenvalue of the p-Laplace operator on compact manifolds with nonnegative Ricci curvature
