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arXiv · 1106.4874

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

Patrick J. Rabier
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Abstract

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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Patrick J. Rabier. 2011-08-23. Embeddings of weighted Sobolev spaces and generalized Caffarelli-Kohn-Nirenberg inequalities. https://arxiv.org/abs/1106.4874

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