# 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}
}
• 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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Reference EPFL-ARTICLE-161409 URL: http://archive.numdam.org/article/ASENS_1982_4_15_2_213_0.pdf Record created on 2010-12-03, modified on 2017-05-12