Trudinger-Moser type inequality for radially symmetric functions in a ring and applications to Keller-Segel in a ring

DOI10.3934/DCDSB.2013.18.2505zbMATH Open1295.35015OpenAlexW2313192709MaRDI QIDQ380057

Tomasz Cieślak

Publication date: 12 November 2013

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2013.18.2505

zbMATH Keywords

homogeneous Neumann boundary conditionsKeller-Segel system

Mathematics Subject Classification ID

Cell movement (chemotaxis, etc.) (92C17) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51) Axially symmetric solutions to PDEs (35B07)

Related Items (4)

Trudinger-type inequalities in R^N with radial increasing mass-weight ⋮ Blow-up profiles for the parabolic-elliptic Keller-Segel system in dimensions ${n\geq 3}$ ⋮ Chemotactic collapse in a parabolic system of mathematical biology ⋮ Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system

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