Universal Inequalities for Eigenvalues of the Buckling Problem of Arbitrary Order

Abstract

We investigate the eigenvalues of the buckling problem of arbitrary order on compact domains in Euclidean spaces and spheres. We obtain universal bounds for the $k$th eigenvalue in terms of the lower eigenvalues independently of the particular geometry of the domain.

24 pages

References in corpus (1)

• Universal bounds on eigenvalues of the buckling problem on spherical domains