A Noncooperative Elliptic System with Laplacians That Preserves Positivity
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Abstract
Strongly maximum principles and Schauder fixed point theorem are used to study the positivity preserving property of the nonlinear noncooperative elliptic system with Laplacians having small parameters. The results concerning the existence of positive solution are obtained under some reasonable conditions. The results extend further the range of application as given in articles.
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