Layered solutions with unbounded mass for the Keller-Segel equation

DOI10.1007/s11784-016-0364-2zbMath1375.35096OpenAlexW2556653231MaRDI QIDQ523349

Benedetta Noris, Denis Bonheure, Jean-Baptiste Castéras

Publication date: 20 April 2017

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-016-0364-2

zbMATH Keywords

radial solutionsKeller-Segel equationconcentrating solutionsmultilayered solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Axially symmetric solutions to PDEs (35B07)

Related Items (9)

Supercritical problems via a fixed point argument on the cone of monotonic functions ⋮ A family of mass‐critical Keller–Segel systems ⋮ Multiple positive solutions for a class of p-Laplacian Neumann problems without growth conditions ⋮ A new variational principle, convexity, and supercritical Neumann problems ⋮ A general existence result for stationary solutions to the Keller-Segel system ⋮ Singular radial solutions for the Keller-Segel equation in high dimension ⋮ Unbounded mass radial solutions for the Keller-Segel equation in the disk ⋮ Free boundary problems arising in the theory of maximal solutions of equations with exponential nonlinearities ⋮ Maximal solution of the Liouville equation in doubly connected domains

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