BOUNDARY VALUE PROBLEM FOR DEGENERATE AND SINGULAR p-LAPLACIAN SYSTEMS  

作　　者：陈祖墀 李杜 

机构地区：[1]Department of Mathematics, University of Science and Technology of China, Hefei 230026, China [2]Department of Mathematics, Yale University, New Haven, CT 06516, USA

出　　处：《Acta Mathematica Scientia》2008年第3期651-664,共14页数学物理学报（B辑英文版）

基　　金：Sponsored by the NNSFC (10371116)

摘　　要：In this article, using the contraction mapping principle and the shooting method, the authors obtain the existence and uniqueness of the local solution and the global solution to a class of quasilinear elliptic systems with p-Laplacian as its principal. They also obtain the continuous dependence of the solutions on the boundary data.In this article, using the contraction mapping principle and the shooting method, the authors obtain the existence and uniqueness of the local solution and the global solution to a class of quasilinear elliptic systems with p-Laplacian as its principal. They also obtain the continuous dependence of the solutions on the boundary data.

关 键 词：Elliptic system DEGENERATE SINGULAR contraction mapping principle shooting method 

分 类 号：O175[理学—数学]