Universal bounds for eigenvalues of a buckling problem II

Details Universal bounds for eigenvalues of a buckling problem II Universal bounds for eigenvalues of a buckling problem II

2009-08-26

arxiv.org/abs/0908.3745v2

Mathematics

Differential Geometry

21 pages, a final version to appear in Trans. Amer. Math. Soc

Scientific paper

In this paper, we investigate universal estimates for eigenvalues of a buckling problem. For a bounded domain in a Euclidean space, we give a positive contribution for obtaining a sharp universal inequality for eigenvalues of the buckling problem. For a domain in the unit sphere, we give an important improvement on the results of Wang and Xia [J. Funct. Anal. 245(2007), 334-352].

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