Hardy-Littlewood-Sobolev inequalities via fast diffusion flows

Eric A. Carien; José A. Carrillo; Michael Loss

doi:10.1073/pnas.1008323107

Hardy-Littlewood-Sobolev inequalities via fast diffusion flows

Eric A. Carien, José A. Carrillo, Michael Loss

Departamento de Matemáticas

Producción científica: Contribución a una revista › Artículo › Investigación › revisión exhaustiva

50 Citas (Scopus)

Resumen

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.

Idioma original	Inglés
Páginas (desde-hasta)	19696-19701
Publicación	Proceedings of the National Academy of Sciences of the United States of America
Volumen	107
N.º	46
DOI	https://doi.org/10.1073/pnas.1008323107
Estado	Publicada - 16 nov 2010

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title = "Hardy-Littlewood-Sobolev inequalities via fast diffusion flows",

abstract = "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.",

keywords = "Gagliardo-Nirenberg-Sobolev, Gradient flow",

author = "Carien, \{Eric A.\} and Carrillo, \{Jos{\'e} A.\} and Michael Loss",

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AU - Carrillo, José A.

AU - Loss, Michael

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N2 - 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.

AB - 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.

KW - Gagliardo-Nirenberg-Sobolev

KW - Gradient flow

UR - https://www.scopus.com/pages/publications/78650528836

U2 - 10.1073/pnas.1008323107

DO - 10.1073/pnas.1008323107

M3 - Article

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JO - Proceedings of the National Academy of Sciences of the United States of America

JF - Proceedings of the National Academy of Sciences of the United States of America

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Hardy-Littlewood-Sobolev inequalities via fast diffusion flows

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