Electron. J. Diff. Equ., Vol. 2009(2009), No. 134, pp. 1-7.

Existence and uniqueness of solutions to a semilinear elliptic system

Zu-Chi Chen, Ying Cui

Abstract:
In this article, we show the existence and uniqueness of smooth solutions for boundary-value problems of semilinear elliptic systems.

Submitted July 6, 2009. Published October 19, 2009.
Math Subject Classifications: 35J55, 35J60, 35J65.
Key Words: Super-sub solutions; compact continuous operator; Leray-Schauder fixed point theorem.

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Zu-Chi Chen
Department of mathematics
University of Science and Technology of China
Hefei 230026, China
email: chenzc@ustc.edu.cn
Ying Cui
Department of mathematics
University of Science and Technology of China
Hefei 230026, China
email: cuiy@mail.ustc.edu.cn

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