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Best constants in the L2-Nash inequality

Published online by Cambridge University Press:  12 July 2007

Emmanuel Humbert
Emmanuel Humbert
Affiliation:
University of Paris VI, Institut de Mathématiques, 175 rue du Chevaleret, 75013 Paris, France ([email protected])
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Abstract

We prove that, contrary to the L1-Nash inequality, there exists a second best constant for the L2-Nash inequality on any smooth compact Riemannian manifold.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 131 , Issue 3 , June 2001 , pp. 621 - 646
Copyright
Copyright © Royal Society of Edinburgh 2001

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