东北电力大学学报
東北電力大學學報
동북전력대학학보
JOURNAL OF NORTHEAST DIANLI UNIVERSITY
2013年
5期
89-98
,共10页
全局爆破解%Keller-Osserman条件%上下解%拟线性椭圆系统
全跼爆破解%Keller-Osserman條件%上下解%擬線性橢圓繫統
전국폭파해%Keller-Osserman조건%상하해%의선성타원계통
Entire large solutions%The Keller-Osserman condition%Upper and lower solution%Quasilinear el-liptic system
假设 f,g 满足 Keller-Osserman 条件,我们证明半线性椭圆系统的全局爆破解的存在性：div x -ap ?u p-2?u = m( x) f( u,v),div x -ap ?v p-2?v = n( x) g( u,v),其中x∈RN ,N≥2+ p(a +1)2,非线性f和g为正的连续函数,权函数m和n是连续函数。
假設 f,g 滿足 Keller-Osserman 條件,我們證明半線性橢圓繫統的全跼爆破解的存在性：div x -ap ?u p-2?u = m( x) f( u,v),div x -ap ?v p-2?v = n( x) g( u,v),其中x∈RN ,N≥2+ p(a +1)2,非線性f和g為正的連續函數,權函數m和n是連續函數。
가설 f,g 만족 Keller-Osserman 조건,아문증명반선성타원계통적전국폭파해적존재성：div x -ap ?u p-2?u = m( x) f( u,v),div x -ap ?v p-2?v = n( x) g( u,v),기중x∈RN ,N≥2+ p(a +1)2,비선성f화g위정적련속함수,권함수m화n시련속함수。
Under the Keller-Osserman condition on f, g, we show the existence of entire large solutions for semilinear elliptic system supposing that nonlinearities and are positive and con-tinuous, the weights and are continuous functions.
