Existence and Nonexistence of Global Positive Solutions for a Weakly Coupled P-Laplacian System

作     者：Xian-zhong ZENG Zhen-hai LI Yong-geng GU 

作者机构：School of Mathematics and Computing ScienceHunan University of Science and Technology College of ScienceGuangxi University for Nationalities Department of MathematicsHunan Normal University 

出 版 物：《Acta Mathematicae Applicatae Sinica》 (应用数学学报（英文版）)

年 卷 期：2013年第29卷第3期

页      面：541-554页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by the National Natural Science Foundation of China(Nos.10971061,11271120) the Project of Hunan Natural Science Foundation of China(Nos.09JJ60013,13JJ3085) 

主　　题：the evolution P-Laplacian system inhomogeneous terms blow-up global existence 

摘      要：In this paper, we deal with a weakly coupled evolution P-Laplacian system with inhomogeneous terms. We obtain a critical criterion concerning existence and nonexistence of its global positive solutions. Such a criterion is different from that of the weakly coupled evolution P-Laplacian system with homogeneous terms. Further, we demonstrate existence and nonexistence of its global positive solutions.