On Stekloff eigenvalue problem

Roger R.-C. Chen; C. Sung

DOI:10.2140/PJM.2000.195.277
Corpus ID: 121071829

On Stekloff eigenvalue problem

@article{Chen2000OnSE,
  title={On Stekloff eigenvalue problem},
  author={Roger R.-C. Chen and Chiung-Jue Anna Sung},
  journal={Pacific Journal of Mathematics},
  year={2000},
  volume={195},
  pages={277-296}
}

Roger R.-C. ChenC. Sung
Published 1 October 2000
Mathematics
Pacific Journal of Mathematics

where q(x) is a C function defined on M, ∂νg is the normal derivative with respect to the unit outward normal vector on the boundary ∂M. In particular, when the boundary ∂M satisfies the “interior rolling R−ball” condition, we obtain a positive lower bound for the first nonzero eigenvalue in terms of n, the diameter of M , R, the lower bound of the Ricci curvature, the lower bound of the second fundamental form elements, and the tangential derivatives of the second fundamental form elements.

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