Uniqueness of stationary states for singular Keller-Segel type models

DOI10.1016/j.na.2020.112222zbMath1458.35004arXiv1905.07788OpenAlexW3113341634MaRDI QIDQ2227850

Vincent Calvez, Franca Hoffmann, José Antonio Carrillo

Publication date: 16 February 2021

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

Full work available at URL: https://arxiv.org/abs/1905.07788

zbMATH Keywords

Hardy-Littlewood-Sobolev inequalityKeller-Segel modelaggregation-diffusionporous medium type diffusion

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Inequalities involving derivatives and differential and integral operators (26D10) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Cell movement (chemotaxis, etc.) (92C17) Quasilinear elliptic equations (35J62) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (3)

Limit profiles for singularly perturbed Choquard equations with local repulsion ⋮ The aggregation-diffusion equation with energy critical exponent ⋮ Equilibration of Aggregation-Diffusion Equations with Weak Interaction Forces

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