奇异拟线性椭圆方程的正整体有界解  

Entirely Bounded Positive Solutions of Singular, Quasilinear Elliptic Equations

作　　者：吴炯圻[1] 

机构地区：[1]漳州师范学院数学系,福建漳州363000

出　　处：《漳州职业技术学院学报》2006年第4期1-6,共6页Journal of Zhangzhou Institute of Technology

基　　金：国家自然科学基金资助课题(10271056);漳州师院基金资助课题.

摘　　要：设β≥0是常数,f:RN×R+×RN→RN是一个连续函数．本文研究形如△u+f(x,u,▽u)u-β=0,x∈RN(N≥3)的奇异拟线性椭圆方程的正整体解,给出了该类方程具有界的正整体解的若干充分条件．Suppose β≥0 are constant, f：R^N×R＋×R^N→R is a continuous function. This paper investigates N-dimensional singular, quasilinear elliptic equations of the form △u＋,f（x,u,↓△u）u^-β=0,x∈R^N（N≥3） and gives some sufficient conditions such that the equations have infinitely many entire solutions each of which is bounded and positive.

关 键 词：奇异 拟线性椭圆方程 正整体解 不动点定理 上解 下解 

分 类 号：O155.29[理学—数学] O155.14[理学—基础数学]