most citedUniversal Bounds for Eigenvalues of the Polyharmonic Operators

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math.DG2009★ 1 cited

Universal Bounds for Eigenvalues of the Polyharmonic Operators

Jürgen Jost, Xianqing Li-Jost, Qiaoling Wang +1

We study eigenvalues of polyharmonic operators on compact Riemannian manifolds with boundary (possibly empty). In particular, we prove a universal inequality for the eigenvalues of…

math.DG2009

Universal Inequalities for Eigenvalues of the Buckling Problem of Arbitrary Order

Jürgen Jost, Xianqing Li-Jost, Qiaoling Wang +1

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 th eigenvalue in…