Concavity of the first eigenvalue of the Laplace Operator on Spherical Bands in S^2

碩士 === 輔仁大學 === 數學系研究所 === 96 === In this paper, we use numerical method to study the convacity of the first eigenvalue of the Laplace operator on spherical bands with area 2piA in the unit sphere .It is a fact that the first eigenvalue is strictly incre- asing and it will obtain the maximum when...

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Bibliographic Details
Main Authors: Shang-Chun Wu, 吳尚峻
Other Authors: Chien-Chang Yen
Format: Others
Language:en_US
Published: 2006
Online Access:http://ndltd.ncl.edu.tw/handle/35965859377352536012