摘要
在本文中,研究了方程div(|u|p-2u)+f(x,u)=0,x∈RN,N≥3的正整体解,其中f(x,u)在u=0未假定是正则的,且f(x,u)可以同时包含超线性,亚线性项和奇异项.
In this paper,we study the positive solutions div(|↓△u|p-2↓△u)+f(x,u)=0,X∈R^N,N≥3where f(x,u) is not assumed to be regular near u = 0 and f(x,u) may be more general involving singular,sublinear and superlinear terms.
出处
《应用数学》
CSCD
北大核心
2007年第2期253-257,共5页
Mathematica Applicata
基金
Supported by the National Natural Science Foundation of China (10571022)
the Natural Science Foundation of Educational Department of Jiangsu Province(04KJB110062,06KJB110056)
the Science Foundation of Nanjing Normal University (2003SXXXGQ2B37)
关键词
拟线性椭圆型方程
上下解方法
有界整体正解
Quasilinear elliptic equations Upper and lower solution method Bounded positive entire solution