A lower bound for eigenvalues of the poly-Laplacian with arbitrary order

Details A lower bound for eigenvalues of the poly-Laplacian with arbitrary order A lower bound for eigenvalues of the poly-Laplacian with arbitrary order

2010-12-14

arxiv.org/abs/1012.3006v1

Mathematics

Differential Geometry

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 gives an important improvement of results
due to Levine and Protter. In particular, the result of Melas is included here.

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