中山大学学报（自然科学版）2012，Vol.51Issue(4)：45-49,5.
p-Laplacian方程组大解的存在性
Existence of Large Solutions of the Quasilinear Elliptic p-Laplacian System
摘要
Abstract
The sub-super solution method is used to research the existence of large solutions of the quasi linear elliptic p-Laplacian system which is exponential. The existence and sufficient conditions of large solutions of the quasilinear elliptic p-Laplacian system are discussed. The key point is to establish a set of inequalities which have solutions to get the sufficient conditions. The sufficient condition of the quasilin ear elliptic p-Laplacian system is obtanined, which is (a-p + l)(e-g + l) < 6c.关键词
非线性椭圆型p-Laplacian方程组/比较原理/上下解/大解Key words
quasilinear elliptic p-Laplacian system/weak comparison principle/sub-super solutions/large solutions分类
数理科学引用本文复制引用
印凡成,王滕滕,黄健元..p-Laplacian方程组大解的存在性[J].中山大学学报（自然科学版）,2012,51(4):45-49,5.基金项目
中央高校基本科研业务费重点资助项目(2010B28514) （2010B28514）
