一类拟线性椭圆型方程组爆破整体正对称解的存在性和解的结构(英文)  

Existence and Structure of Entire Explosive Positive Radial Solutions for a Class of Quasilinear Elliptic Systems

作　　者：杨作东[1] 陆炳新[1] 

机构地区：[1]南京师范大学数学与计算机科学学院,江苏南京210097

出　　处：《南京师大学报（自然科学版）》2005年第1期1-7,共7页Journal of Nanjing Normal University(Natural Science Edition)

基　　金：Supported by the Science Foundationof Nanjing Normal University(No. 2003SXXXGQ2B37);the Science Foundation of 211En gineering and the Science Foundation of Jiangsu Province Educational Department(No. 04KJB110062).

摘　　要：研究了拟线性椭圆型方程组div( um-2 u)=p( x )f(v), div( vn-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.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 R^N, 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.

关 键 词：整体 爆破 正对称解 拟线性椭圆型方程组 

分 类 号：O175.29[理学—数学]