The Caffarelli-Kohn-Nirenberg Inequalities on Complete Manifolds
نویسندگان
چکیده
منابع مشابه
The Caffarelli-kohn-nirenberg Inequalities on Complete Manifolds
We find a new sharp Caffarelli-Kohn-Nirenberg inequality and show that the Euclidean spaces are the only complete non-compact Riemannian manifolds of nonnegative Ricci curvature satisfying this inequality. We also show that a complete open manifold with non-negative Ricci curvature in which the optimal Nash inequality holds is isometric to a Euclidean space.
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ژورنال
عنوان ژورنال: Mathematical Research Letters
سال: 2007
ISSN: 1073-2780,1945-001X
DOI: 10.4310/mrl.2007.v14.n5.a14