Hardy-Littlewood-Sobolev inequalities via fast diffusion flows.
نویسندگان
چکیده
We give a simple proof of the λ = d - 2 cases of the sharp Hardy-Littlewood-Sobolev inequality for d≥3, and the sharp Logarithmic Hardy-Littlewood-Sobolev inequality for d = 2 via a monotone flow governed by the fast diffusion equation.
منابع مشابه
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عنوان ژورنال:
- Proceedings of the National Academy of Sciences of the United States of America
دوره 107 46 شماره
صفحات -
تاریخ انتشار 2010