A note on the free energy of the Keller-Segel model for subcritical and supercritical cases

DOI10.1016/j.na.2015.05.020zbMath1331.35061OpenAlexW593201691MaRDI QIDQ495241

Shen Bian

Publication date: 9 September 2015

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2015.05.020

zbMATH Keywords

steady state solutionsconcentration-compactness principleinvariant scalingfar-field massmodified Hardy-Littlewood-Sobolev inequalityupper bound of the support

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Cell movement (chemotaxis, etc.) (92C17) Second-order elliptic systems (35J47)

Related Items (2)

Finite time blow up and non-uniform bound for solutions to a degenerate drift-diffusion equation with the mass critical exponent under non-weight condition ⋮ Finite-time blow-up for solutions to a degenerate drift-diffusion equation for a fast-diffusion case

Cites Work

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