Torsional rigidity on compact Riemannian manifolds with lower Ricci curvature bounds

Torsional rigidity on compact Riemannian manifolds with lower Ricci curvature bounds

In this article we prove a reverse Hölder inequality for the fundamental eigenfunction of the Dirichlet problem on domains of a compact Riemannian manifold with lower Ricci curvature bounds. We also prove an isoperimetric inequality for the torsional ridigity of such domains

Bibliographic Details
Main Authors: Gamara Najoua, Hasnaoui Abdelhalim, Makni Akrem
Format: Article
Language:English
Published: De Gruyter 2015-09-01
Series:Open Mathematics
Subjects:
Isoperimetric inequalities
Eigenfunctions
Ricci curvature
Reverse Hölder Inequality
Torsional rigidity
Online Access:http://www.degruyter.com/view/j/math.2015.13.issue-1/math-2015-0053/math-2015-0053.xml?format=INT

Internet

http://www.degruyter.com/view/j/math.2015.13.issue-1/math-2015-0053/math-2015-0053.xml?format=INT

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