Hostname: page-component-78c5997874-j824f Total loading time: 0 Render date: 2024-11-10T20:42:10.580Z Has data issue: false hasContentIssue false
  • English
  • Français

Steady states with unbounded mass of the Keller–Segel system

Published online by Cambridge University Press:  30 January 2015

Angela Pistoia  and
Giusi Vaira
Angela Pistoia
Affiliation:
Dipartimento di Scienze di Base e Applicate per l'Ingegneria, Universitá La Sapienza, Via A. Scarpa 14, 00185 Roma, Italy, ([email protected]; [email protected])
Giusi Vaira
Affiliation:
Dipartimento di Scienze di Base e Applicate per l'Ingegneria, Universitá La Sapienza, Via A. Scarpa 14, 00185 Roma, Italy, ([email protected]; [email protected])
Get access Rights & Permissions [Opens in a new window]

Abstract

We consider the boundary-value problem

where Br0 is the ball of radius r0 in ℝN, N ≥ 2, λ > 0 and ν is the outer normal derivative at ∂Br0. This problem is equivalent to the stationary Keller—Segel system from chemotaxis. We show the existence of a solution concentrating at the boundary of the ball as λ goes to 0.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 145 , Issue 1 , February 2015 , pp. 203 - 222
Copyright
Copyright © Royal Society of Edinburgh 2015 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)