Positive solutions for a class of reaction-diffusion systems

被引：3

作者：

Dall'Acqua, A ^{[1
]}

机构：

[1] Delft Univ Technol, Dept Appl Anal, NL-2600 CD Delft, Netherlands

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2003年 / 2卷 / 01期

关键词：

reaction-diffusion systems; Hardy-Sobolev inequality; a priori estimates; continuation method;

D O I：

10.3934/cpaa.2003.2.65

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we will derive existence of positive solutions for a system of two coupled superlinear elliptic equations. with Dirichlet boundary condition. We will use a topological method; in fact the class of systems that we will study does not allow a variational approach. After establishing an a priori estimate for the solutions, we will obtain existence by a continuation method.

引用

页码：65 / 76

页数：12

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