On the Hardy-Littlewood-Sobolev type systems
نویسندگان
چکیده
منابع مشابه
On the Integral Systems Related to Hardy-littlewood-sobolev Inequality
We prove all the maximizers of the sharp Hardy-Littlewood-Sobolev inequality are smooth. More generally, we show all the nonnegative critical functions are smooth, radial with respect to some points and strictly decreasing in the radial direction. In particular, we resolve all the cases left open by previous works of Chen, Li and Ou on the corresponding integral systems.
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ژورنال
عنوان ژورنال: Communications on Pure and Applied Analysis
سال: 2016
ISSN: 1534-0392
DOI: 10.3934/cpaa.2016027