Universal bounds on eigenvalues of the buckling problem on spherical domains

Abstract

In this paper we study the eigenvalues of buckling problem on domains in a unit sphere. By introducing a new parameter and using Cauchy inequality, we optimize the inequality obtained by Wang and Xia in [12].

This article has been submitted for publication on 2009-06-14

References in corpus (1)

• Commutators, Spectral Trace Identities, and Universal Estimates for Eigenvalues

Cited by in corpus (6)

• Inequalities for eigenvalues of the buckling problem of arbitrary order
• Eigenvalues of the buckling problem of arbitrary order on bounded domains of $\mathbb{M}\times \mathbb{R}$
• Universal Inequalities for Eigenvalues of the Buckling Problem of Arbitrary Order
• Estimates for the higher order buckling eigenvalues in the unit sphere
• Estimates for eigenvalues of a system of of elliptic equations and of the biharmonic operator
• Estimates for eigenvalues of Lr operator on self-shrinkers