南京师大学报(自然科学版)
南京師大學報(自然科學版)
남경사대학보(자연과학판)
JOURNAL OF NANJING NORMAL UNIVERSITY(NATURAL SCIENCE)
2005年
1期
1-7
,共7页
整体,%爆破,正对称解,%拟线性椭圆型方程组
整體,%爆破,正對稱解,%擬線性橢圓型方程組
정체,%폭파,정대칭해,%의선성타원형방정조
entire%explosive%positive radial solution%quasilinear elliptic system
研究了拟线性椭圆型方程组div(|(△)u|m-2(△)u)=p|x|f(v), div|(△)v|n-2(△)v)=q|x|g(u)在RN上爆破整体正对称解的存在性和解集的性质,其中f和g在(0,∞)上是正的递增函数.本文结果是新的且推广了所知结果.
研究瞭擬線性橢圓型方程組div(|(△)u|m-2(△)u)=p|x|f(v), div|(△)v|n-2(△)v)=q|x|g(u)在RN上爆破整體正對稱解的存在性和解集的性質,其中f和g在(0,∞)上是正的遞增函數.本文結果是新的且推廣瞭所知結果.
연구료의선성타원형방정조div(|(△)u|m-2(△)u)=p|x|f(v), div|(△)v|n-2(△)v)=q|x|g(u)재RN상폭파정체정대칭해적존재성화해집적성질,기중f화g재(0,∞)상시정적체증함수.본문결과시신적차추엄료소지결과.
We study the existence and structure of entire explosive positive radial solutions for quasilinear elliptic systems div|(△)u|m-2(△)u)=p|x|f(v),div|(△)v|n-2(△)v)=q|x|g(u) on RN, where f and g are positive and non-decreasing functions on (0,∞). The main results of the present paper are new and extend the previously known results.
