EXISTENCE OF POSITIVE RADIAL SOLUTIONS FOR SOME SEMILINEAR ELLIPTIC EQUATIONS IN ANNULUS

被引：0

作者：

姚庆六

马勤生

机构：

[1] College of Mathematics and Information Science

[2] Northwest Normal University Nanjing 210003

[3] Lanzhou 730070

[4] Department of Applied Mathematics

[5] P R China

[6] Nanjing University of Economics

来源：

Applied Mathematics and Mechanics(English Edition) | 2002年 / 12期

关键词：

second_order elliptic equation; annular domain; positive radial solution;

D O I：

暂无

中图分类号：

O175.25 [椭圆型方程];

学科分类号：

070104 ;

摘要：

Applying Krasnosel′skii fixed point theorem of cone expansion_compression type, the existence of positive radial solutions for some second_order nonlinear elliptic equations in annular domains, subject to Dirichlet boundary conditions, is investigated. By considering the properties of nonlinear term on boundary closed intervals, several existence results of positive radial solutions are established. The main results are independent of superlinear growth and sublinear growth of nonlinear term. If nonlinear term has extreme values and satisfies suitable conditions, the main results are very effective.

引用

页码：1452 / 1457

页数：6

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