A Caffarelli-Kohn-Nirenberg type inequality on Riemannian Manifolds
Analysis of PDEs
2009-06-18 v1
Abstract
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.
Keywords
Cite
@article{arxiv.0906.3241,
title = {A Caffarelli-Kohn-Nirenberg type inequality on Riemannian Manifolds},
author = {Yuri Bozhkov},
journal= {arXiv preprint arXiv:0906.3241},
year = {2009}
}