Eigenvalue Inequalities for a Family of Spherically Symmetric Riemannian Manifolds

Eigenvalue Inequalities for a Family of Spherically Symmetric Riemannian Manifolds

This thesis considers two isoperimetric inequalities for the eigenvalues of the Laplacian on a family of spherically symmetric Riemannian manifolds. The Payne-Pólya-Weinberger Conjecture (PPW) states that for a bounded domain Ω in Euclidean space Rn, the ratio λ1(Ω)/λ0(Ω) of the first two eigenvalue...

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Bibliographic Details
Main Author: Miker, Julie
Format: Others
Published: UKnowledge 2009
Subjects:
eigenvalues of the Laplacian|isoperimetric inequalities|Payne-P'olya-Weinberger conjecture|Szegö-Weinberger inequality|Faber-Krahn inequality
Mathematics
Online Access:http://uknowledge.uky.edu/gradschool_diss/783
http://uknowledge.uky.edu/cgi/viewcontent.cgi?article=1786&context=gradschool_diss

Internet

http://uknowledge.uky.edu/gradschool_diss/783
http://uknowledge.uky.edu/cgi/viewcontent.cgi?article=1786&context=gradschool_diss

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