摘要
一类如下拟线性偏微分方程{-div(|Du|p-2Du)+b(Du)+u|u|p-2u=0,在U内,u=0,在U上.这里的U是有界的并且边界是光滑的区域,应用不动点方法研究此类方程弱解的存在性.
The existence of the weak solution for a class of quasilinear equation {-div（｜Du｜^P-2Du）＋b（Du）＋μ｜u｜^p-2u=0 in U, u=0, on U.is studied by using the fixed point methods, where U is bounded and U is smooth.
出处
《江汉大学学报（自然科学版）》
2008年第3期17-18,共2页
Journal of Jianghan University：Natural Science Edition
关键词
偏微分方程
弱解
不动点
紧算子
存在性
partial differential equation
weak solution
fixed point
compact operator
existence
