Steady states with unbounded mass of the Keller-Segel system

被引：16
|
作者：
Pistoia, Angela [1 ]
Vaira, Giusi [1 ]
机构：
[1] Univ Roma La Sapienza, Dipartimento Sci Base & Applicate Ingn, I-00185 Rome, Italy
来源：
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2015年 / 145卷 / 01期
关键词：
PARABOLIC-ELLIPTIC SYSTEM; RADIAL SOLUTIONS; POINT DYNAMICS; CHEMOTAXIS; DIFFUSION; EXISTENCE; BEHAVIOR; LIMIT; MODEL;
D O I：
10.1017/S0308210513000619
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the boundary-value problem -Delta u+u = lambda e(u) in B-r0, partial derivative(nu)u = 0 on partial derivative B-r0, where B-r0 is the ball of radius ro in R-N, N >= 2, lambda > 0 and v is the outer normal derivative at partial derivative B-r0. 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 lambda goes to 0.
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页码：203 / 222
页数：20
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