Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4669418 | Bulletin des Sciences Mathématiques | 2010 | 17 Pages |
Abstract
In this work we make some observations on the existence of extremal maps for sharp L2-Riemannian Sobolev type inequalities as Nash and logarithmic Sobolev ones. Among other results, we prove also that there exist smooth compact Riemannian manifolds with scalar curvature changing signal on which there exist extremal maps.
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Mathematics
Mathematics (General)