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Torsional rigidity on compact Riemannian manifolds with lower Ricci curvature bounds

Najoua Gamara; Abdelhalim Hasnaoui; Akrem Makni — 2015

Open Mathematics

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

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