Dissipation for a non-convex gradient flow problem of a Patlack–Keller–Segel type for densities on Rd, d≥3

Author:

Carlen Eric A.,Ulusoy SuleymanORCID

Funder

NSF

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference10 articles.

1. Sharp Sobolev inequalities on the sphere and the Moser–Trudinger inequality;Beckner;Ann. of Math.,1993

2. Dynamic and Steady states for Multi-Dimensional Keller–Segel Model with Diffusion Exponent m>0;Bian;Comm. Math. Phys.,2013

3. Functional inequalities, thick tails and asymptotics for the critical mass Patlak-Keller–Segel model;Blanchet;J. Math. Anal. Appl.,2010

4. Two-dimensional Keller–Segel model: Optimal critical mass and qualitative properties of the solutions;Blanchet;Electron. J. Differential Equations,2006

5. Competing symmetries, the logarithmic HLS inequality and Onofri’s inequality on Sn;Carlen;Geom. Funct. Anal.,1992

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