Existence and Uniqueness of Positive Radial Solutions for a Class of Quasilinear Elliptic Systems  

作　　者：LI Qin YANG Zuodong 

机构地区：[1]Institute of Mathematics, School of Mathematical Sciences, Nanjing NormalUniversity, Nanjing 210023, China [2]School of Teacher Education, Nanjing Normal University, Nanjing 210097, China

出　　处：《Journal of Partial Differential Equations》2015年第4期370-382,共13页偏微分方程（英文版）

基　　金：This work was supported by the National Natural Science Foundation of China （No. 1117 -1092 and 11471164）; the Graduate Students Education and Innovation of Jiangsu Province （No. KYZZ_0209） and the Natural Science Foundation of Educational Department of Jiangsu Province （No. 08KJB110005）.

摘　　要：This article is concerned with the existence and uniqueness of positive radial solutions for a class of quasilinear elliptic system. With some reasonable assumptions on the nonlinear source functions and their coefficients, the existence and the upper and lower bounds of the positive solutions will be provided by using the fixed point theorem and the maximum principle for the quasilinear elliptic system.

关 键 词：Quasilinear elliptic equation（system） EXISTENCE UNIQUENESS fixed point theorem the maximum principle 

分 类 号：O175.2[理学—数学]