Estimates for lower order eigenvalues of a clamped plate problem

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Cheng, Qing-Ming; Huang, Guangyue; Wei, Guoxin;
(2009)
  • Subject: Mathematics - Differential Geometry
    arxiv: Mathematics::Differential Geometry | Mathematics::Spectral Theory

For a bounded domain $\Omega$ in a complete Riemannian manifold $M^n$, we study estimates for lower order eigenvalues of a clamped plate problem. We obtain universal inequalities for lower order eigenvalues. We would like to remark that our results are sharp.
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