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
@article{bwmeta1.element.doi-10_1515_math-2015-0053,
author = {Najoua Gamara and Abdelhalim Hasnaoui and Akrem Makni},
title = {Torsional rigidity on compact Riemannian manifolds with lower Ricci curvature bounds},
journal = {Open Mathematics},
volume = {13},
year = {2015},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2015-0053}
}
Najoua Gamara; Abdelhalim Hasnaoui; Akrem Makni. Torsional rigidity on compact Riemannian manifolds with lower Ricci curvature bounds. Open Mathematics, Tome 13 (2015) . http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2015-0053/
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