A Caffarelli-Kohn-Nirenberg type inequality on Riemannian Manifolds
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caffarelli-kohn-nirenberginequalitymanifoldsriemannianappliedapproachconformalenzo
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We establish a generalization to Riemannian manifolds of the Caffarelli-Kohn-Nirenberg inequality. The applied method is based on the use of conformal Killing vector fields and Enzo Mitidieri's approach to Hardy inequalities.
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