Extrinsic estimates for eigenvalues of the Laplace operator
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概要
- 論文の詳細を見る
For a bounded domain in a complete Riemannian manifold Mn isometrically immersed in a Euclidean space, we derive extrinsic estimates for eigenvalues of the Dirichlet eigenvalue problem of the Laplace operator, which depend on the mean curvature of the immersion. Further, we also obtain an upper bound for the (k+1)th eigenvalue, which is best possible in the meaning of order on k.
- 社団法人 日本数学会の論文
- 2008-04-01
著者
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CHENG Qing-Ming
Department of Mathematics Faculty of Science and Engineering Saga University
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CHEN Daguang
Institute of Mathematics Academy of Mathematics and Systematical Sciences CAS
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