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Articles

Flows and functional inequalities for fractional operators

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Pages 1547-1560 | Received 28 Nov 2016, Accepted 20 Jan 2017, Published online: 10 Feb 2017

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Quoc-Hung Nguyen & Juan Luis Vázquez. (2018) Porous medium equation with nonlocal pressure in a bounded domain. Communications in Partial Differential Equations 43:10, pages 1502-1539.
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Nguyen Anh Dao. (2023) On the existence of solutions to a general mean field equation of nonlinear diffusion with the Newtonian potential pressure. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 117:2.
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Alessio Figalli & Yi Ru-Ya Zhang. (2022) Sharp gradient stability for the Sobolev inequality. Duke Mathematical Journal 171:12.
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Nguyen Anh Dao & Jesus Ildefonso Díaz. (2020) Energy and Large Time Estimates for Nonlinear Porous Medium Flow with Nonlocal Pressure in $$\mathbb {R}^N$$. Archive for Rational Mechanics and Analysis 238:1, pages 299-345.
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Filomena Feo, Yanghong Huang & Bruno Volzone. (2019) Long-time asymptotics for a 1D nonlocal porous medium equation with absorption or convection. Communications in Contemporary Mathematics 22:03, pages 1950015.
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Diana Stan, Félix del Teso & Juan Luis Vázquez. 2018. Current Research in Nonlinear Analysis. Current Research in Nonlinear Analysis 277 308 .

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