Singular Gierer-Meinhardt systems of elliptic boundary value problems

被引：19

作者：

Kim, EH ^{[1
]}

机构：

[1] Calif State Univ Long Beach, Dept Math, Long Beach, CA 90840 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2005年 / 308卷 / 01期

基金：

美国国家科学基金会;

关键词：

elliptic systems; singular; non-quasimonotone; Gierer-Meinhardt;

D O I：

10.1016/j.jmaa.2004.10.039

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish existence results for singular Gierer-Meinhardt elliptic systems with zero Dirichlet boundary conditions. Gierer-Meinhardt systems are model problems for pattern formations of spatial tissue structures of morphogenesis. The mathematical difficulties are that the system becomes singular near the boundary and it is non-quasimonotone. We show the existence of positive solutions for the activator-inhibitor model with common sources. (c) 2004 Elsevier Inc. All rights reserved.

引用

页码：1 / 10

页数：10

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