EXISTENCE AND UNIQUENESS OF POSITIVE SOLUTIONS TO A CLASS OF SEMILINEAR ELLIPTIC SYSTEMS

数学物理学报(英文版) ›› 2002, Vol. 22 ›› Issue (4): 451-458.

EXISTENCE AND UNIQUENESS OF POSITIVE SOLUTIONS TO A CLASS OF SEMILINEAR ELLIPTIC SYSTEMS

钟金标, 陈祖墀

Department of Mathematics, University of Science and Technology of China, Hefei 230026, China

出版日期:2002-10-14 发布日期:2002-10-14
基金资助:
The project supported by NNSF of China (10071080)

EXISTENCE AND UNIQUENESS OF POSITIVE SOLUTIONS TO A CLASS OF SEMILINEAR ELLIPTIC SYSTEMS

ZHONG Jin-Biao, CHEN Zu-Chi

Department of Mathematics, University of Science and Technology of China, Hefei 230026, China

Online:2002-10-14 Published:2002-10-14
Supported by:
The project supported by NNSF of China (10071080)

摘要/Abstract

摘要：

In this paper an existence and uniqueness theorem of positive solutions to a class of semilinear elliptic systems is proved. Also, a necessary condition for the existence of the positive solution is obtained. As the application of the main theorem, two examples are given.

关键词: Positive solution, semilinear elliptic system, compact and positive operator

Abstract:

Key words: Positive solution, semilinear elliptic system, compact and positive operator

中图分类号:

35A05

钟金标, 陈祖墀. EXISTENCE AND UNIQUENESS OF POSITIVE SOLUTIONS TO A CLASS OF SEMILINEAR ELLIPTIC SYSTEMS[J]. 数学物理学报(英文版), 2002, 22(4): 451-458.

ZHONG Jin-Biao, CHEN Zu-Chi. EXISTENCE AND UNIQUENESS OF POSITIVE SOLUTIONS TO A CLASS OF SEMILINEAR ELLIPTIC SYSTEMS[J]. Acta mathematica scientia,Series B, 2002, 22(4): 451-458.

EXISTENCE AND UNIQUENESS OF POSITIVE SOLUTIONS TO A CLASS OF SEMILINEAR ELLIPTIC SYSTEMS

EXISTENCE AND UNIQUENESS OF POSITIVE SOLUTIONS TO A CLASS OF SEMILINEAR ELLIPTIC SYSTEMS

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