THE EXISTENCE AND UNIQUENESS OF THE DECAYING POSITIVE ENTIRE SOLUTIONS FOR A CLASS OF SEMILIN EARELLIPTIC EQUATIONS  

作　　者：田根宝 

出　　处：《Applied Mathematics and Mechanics(English Edition)》1995年第8期765-777,共13页应用数学和力学（英文版）

摘　　要：This paper first proves the following equations△u-m￣2u+f(x,u)=0, x(R￣n,n≥3 m>0 existence of decaying positive entire solution, then emphatically, proves this solution'suniqueness.This paper first proves the following equations△u-m￣2u+f(x,u)=0, x(R￣n,n≥3 m>0 existence of decaying positive entire solution, then emphatically, proves this solution'suniqueness.

关 键 词：weak supersolution weak subsolution monotone convergencetheorem . nonincreasing. nondecreasing locally Hldercontinuous.locally Lipschitz continuous strong maximumprinciple 

分 类 号：O175.25[理学—数学]