Existence and Stability of Positive Solutions for an Elliptic Cooperative System

Authors
Hei, Li Jun We, Jian Hua
Citation
Hei, Li Jun et We, Jian Hua, Existence and Stability of Positive Solutions for an Elliptic Cooperative System, Acta mathematica Sinica. English series (Print) , 21(5), 2005, pp. 1113-1120
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
21
Issue
5
Year of publication
2005
Pages
1113 - 1120
Database
ACNP
SICI code
Abstract
By discussing the properties of a linear cooperative system, the necessary and sufficient conditions for the existence of positive solutions of an elliptic cooperative system in terms of the principal eigenvalue of the associated linear system are established, and some local stability results for the positive solutions are also obtained.