Journal of the Mathematical Society of Japan
Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645
Inequalities for eigenvalues of the biharmonic operator with weight on Riemannian manifolds
Qiaoling WangChangyu Xia

ジャーナル フリー

2010 年 62 巻 2 号 p. 597-622

Given a compact Riemannian manifold M with boundary (possibly empty), we consider the eigenvalues of the biharmonic operator with weight on M, proving a general inequality involving them. Using this inequality, we consider these eigenvalues when M is a compact domain of one of the following three spaces: 1) a complex projective space, 2) a minimal submanifold of a Euclidean space and 3) a minimal submanifold of a unit sphere.

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© 2010 The Mathematical Society of Japan
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