Steady states with unbounded mass of the Keller-Segel system

被引：15

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; MODELING CHEMOTAXIS; RADIAL SOLUTIONS; POINT DYNAMICS; SINGULAR LIMIT; AGGREGATION; DIFFUSION; NONLINEARITIES; EXISTENCE; BEHAVIOR;

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.

引用

页码：203 / 222

页数：20

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