Universal bounds for eigenvalues of a buckling problem II

Abstract

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].

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

Cited by in corpus (1)

• Inequalities for eigenvalues of the buckling problem of arbitrary order