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

Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (12): 1452-1457.

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

姚庆六¹, 马勤生²

1. Department of Applied Mathematics, Nanjing University of Economics, Nanjing 210003, P. R. China;
2. College of Mathematics and Information Science, Northwest Normal University, Lanzhou 730070, P. R. China

收稿日期:2000-04-21 修回日期:2002-06-11 出版日期:2002-12-18 发布日期:2002-12-18

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

YAO Qing-liu¹, MA Qin-sheng²

1. Department of Applied Mathematics, Nanjing University of Economics, Nanjing 210003, P. R. China;
2. College of Mathematics and Information Science, Northwest Normal University, Lanzhou 730070, P. R. China

Received:2000-04-21 Revised:2002-06-11 Online:2002-12-18 Published:2002-12-18

摘要/Abstract

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.

关键词: second-order elliptic equation, annular domain, positive radial solution

Abstract: 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.

Key words: second-order elliptic equation, annular domain, positive radial solution

中图分类号:

姚庆六;马勤生. EXISTENCE OF POSITIVE RADIAL SOLUTIONS FOR SOME SEMILINEAR ELLIPTIC EQUATIONS IN ANNULUS[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(12): 1452-1457.

YAO Qing-liu;MA Qin-sheng. EXISTENCE OF POSITIVE RADIAL SOLUTIONS FOR SOME SEMILINEAR ELLIPTIC EQUATIONS IN ANNULUS[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(12): 1452-1457.

参考文献

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

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

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