期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

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) 被引量：1

Existence and Structure of Entire Explosive Positive Radial Solutions for a Class of Quasilinear Elliptic Systems
下载PDF
导出
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.
作者 杨作东 陆炳新
机构地区 南京师范大学数学与计算机科学学院
出处 《南京师大学报（自然科学版）》 CAS CSCD 北大核心 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).
关键词 整体 爆破 正对称解 拟线性椭圆型方程组 entire, explosive, positive radial solution, quasilinear elliptic system
分类号 O175.29 [理学—基础数学]
  • 相关文献

参考文献11

  • 1Cirstea F, Radulescu V. Entire solutions blowing up at infinity for semilinear elliptic systems[J]. J Math Pures Appl,2002,81:827-846.
  • 2Clement Ph, Manasevich R, Mitidieri E. Positive solutions for a quasilinear system via blow up[J]. Comm in Partial Diff Eqns,1993,18(12):2071-2106.
  • 3Clement Ph, Figueiredo D G de, Mitidieri E. Positive solutions of semilinear elliptic systems[J]. Comm in Partial Diff Eqns,1992,17(5-6):923-940.
  • 4Felmer P L, Manasevich R, Thelin F de. Existence and uniqueness of positive solutions for certain quasilinear elliptic system[J]. Comm in Partial Diff Eqns,1992,17:2013-2029.
  • 5Guo Z M. Existence of positive radial solutions for a class of quasilinear elliptic systems in annular domains[J]. Chinese Journal of Contemporary Math,1996,17(4):337-350.
  • 6Lair A V, Wood A W. Existence of entire large positive solutions of semilinear elliptic systems[J]. J Differential Eqns,2000,164(2):380-394.
  • 7Mitidieri E, Sweers G, Van der Vorst R. Nonexistence theorems for systems of quasilinear partial differential equations[J]. Differential Integral Equations,1995,8:1331-1354.
  • 8Mitidieri E. Nonexistence of positive solutions of semilinear elliptic system in RN[J]. Diff Integral Equations,1996,9:465-479.
  • 9Peletier L A, Van der Vorst R. Existence and non-existence of positive solutions of non-linear elliptic systems and the biharmonic equations[J]. Diff Integral Eqns,1992,54:747-767.
  • 10Yang Zuodong. Existence of entire explosive positive radial solutions for a class of quasilinear elliptic systems[J]. J Math Anal Appl,2003,288:768-783.

同被引文献3

引证文献1

二级引证文献2

南京师大学报（自然科学版）
2005年 第1期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部