Universal Inequalities for Eigenvalues of the Buckling Problem of Arbitrary Order

Details Universal Inequalities for Eigenvalues of the Buckling Problem of Arbitrary Order Universal Inequalities for Eigenvalues of the Buckling Problem of Arbitrary Order

2009-10-12

arxiv.org/abs/0910.2063v1

Mathematics

Differential Geometry

24 pages

Scientific paper

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.

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