Existence and Boundary Behavior of Positive Solutions of Quasi-linear Elliptic Singular Equations with a Gradient term  

作　　者：YUAN Junli YANG Zuodong 

机构地区：[1]School of Science, Nantong University, Nantonyg 226006, China. [2]Institute of Mathematics, School of Mathematics Science, Nanjing Normal Univer-sity, Nanjing 210023, China. [3]School of Teacher Education, Nanjing Normal University, Nanjing 210097, China.

出　　处：《Journal of Partial Differential Equations》2014年第4期318-332,共15页偏微分方程（英文版）

摘　　要：Existence of positive solutions of a class of quasi-linear elliptic equation with a gradient term is obtained by using super-solution and sub-solution method. In par- ticular, we study the asymptotic behavior of the solution near the boundary up to the second order under various assumptions on the growth of the coefficients of the equa- tion. The results of this paper is new and extend previously known results.

关 键 词：EXISTENCE quasMinear elliptic equation super-solution sub-solution. 

分 类 号：O175.8[理学—数学] O175.25[理学—基础数学]