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} }
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.
3 Citations
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