Torsional rigidity on compact Riemannian manifolds with lower Ricci curvature bounds
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Publication:317707
DOI10.1515/math-2015-0053zbMathNonearXiv1504.02747OpenAlexW2963098643WikidataQ115236046 ScholiaQ115236046MaRDI QIDQ317707
Abdelhalim Hasnaoui, Najoua Gamara, Akrem Makni
Publication date: 4 October 2016
Published in: Open Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1504.02747
Brownian motion (60J65) Estimates of eigenvalues in context of PDEs (35P15) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)
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Cites Work
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- Estimates for the torsion function and Sobolev constants
- Interpolating between torsional rigidity and principal frequency
- Some isoperimetric inequalities for membrane frequencies and torsional rigidity
- Symétrisation d'inéquations elliptiques et applications géométriques. (Symmetrization of elliptic inequalities and geometric applications)
- Isoperimetric inequalities on curved surfaces
- Eigenvalue comparison theorems and its geometric applications
- Sur la premiere fonction propre d'une membrane: une extension à N dimensions de l'inégalité isoperimetrique de Payne-Rayner
- A reverse Hölder inequality for the eigenfunctions of linear second order elliptic operators
- A reverse Hölder inequality for extremal Sobolev functions
- An isoperimetric inequality for the first eigenfunction in the fixed membrane problem
- Some isoperimetric norm bounds for solutions of the Helmholtz equation
- Inégalités isopérimétriques et applications
- A sharp bound for the ratio of the first two Dirichlet eigenvalues of a domain in a hemisphere of 𝕊ⁿ
- A proof of Saint-Venant's theorem on torsional rigidity
- Torsional rigidity, principal frequency, electrostatic capacity and symmetrization
- Isoperimetric Inequalities in Mathematical Physics. (AM-27)
- Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu
