A Caffarelli-Kohn-Nirenberg type inequality on Riemannian Manifolds

Details A Caffarelli-Kohn-Nirenberg type inequality on Riemannian Manifolds A Caffarelli-Kohn-Nirenberg type inequality on Riemannian Manifolds

2009-06-17

arxiv.org/abs/0906.3241v1

Mathematics

Analysis of PDEs

Scientific paper

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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