Estimates for Eigenvalues of Poly-harmonic Operators

Details Estimates for Eigenvalues of Poly-harmonic Operators Estimates for Eigenvalues of Poly-harmonic Operators

2011-11-14

arxiv.org/abs/1111.3115v2

Mathematics

Differential Geometry

18 pages

Scientific paper

In this paper, we study eigenvalues of the poly-Laplacian with arbitrary
order on a bounded domain in an n-dimensional Euclidean space and obtain a
lower bound for eigenvalues, which generalizes the results due to Cheng-Wei [5]
and gives an improvement of results due to Cheng- Qi-Wei [3].

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