Embeddings of weighted Sobolev spaces and generalized Caffarelli-Kohn-Nirenberg inequalities

Details Embeddings of weighted Sobolev spaces and generalized Caffarelli-Kohn-Nirenberg inequalities Embeddings of weighted Sobolev spaces and generalized Caffarelli-Kohn-Nirenberg inequalities

2011-06-24

arxiv.org/abs/1106.4874v4

Mathematics

Analysis of PDEs

Scientific paper

We characterize all the real numbers a,b,c and 1<= p,q,r-N and attention is confined to smooth functions with compact support, these inequalities coincide with the Caffarelli-Kohn-Nirenberg inequalities. Variants for radially symmetric functions, or when r<=min{p,q}, are also obtained along the way.

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