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Stability for a GNS inequality and the log-HLS inequality, with application to the critical mass Keller-Segel equation - MaRDI portal

Stability for a GNS inequality and the log-HLS inequality, with application to the critical mass Keller-Segel equation (Q1942109)

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Stability for a GNS inequality and the log-HLS inequality, with application to the critical mass Keller-Segel equation
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    Stability for a GNS inequality and the log-HLS inequality, with application to the critical mass Keller-Segel equation (English)
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    15 March 2013
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    The authors obtain some stability results for a Galiardo-Nirenberg-Sobolev inequality in the plane and for the logarithmic Hardy-Littlewood-Sobolev inequality. Finally, they prove a quantitative result for the critical mass Keller-Segel system.
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    Gagliardo-Nirenberg-Sobolev inequality
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    Hardy-Littlewood-Sobolev inequality
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    Keller-Segel equation
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