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具有Hardy奇异项的共振半线性椭圆方程的解
  • ISSN号：0583-1431
  • 期刊名称：数学学报
  • 时间：2013
  • 页码：121-134
  • 分类：O175.25[理学—数学;理学—基础数学]
  • 作者机构：[1]西南大学数学与统计学院,重庆400715, [2]集美大学理学院,厦门361021
  • 相关基金：国家自然科学基金资助项目（11071198）
  • 相关项目：Hamilton系统的同宿轨与椭圆系统的边值问题
作者： 蓝永艺|唐春雷|
关键词： Hardy奇异项, Dirichlet边值条件, 共振, 半线性椭圆方程, Hardy singular terms, Dirichlet boundary condition, resonance, semilinear elliptic equation
中文摘要：

利用变分法研究了具有Dirichlet边值问题-△u-μ（u/（｜x｜~2））=f（x,u）的解的存在性问题,在适当的条件下给出了其解的存在性定理.

英文摘要：

We consider the following semilinear elliptic equation—△u—μ（u/（｜（？）2｜））= f（x,u） with the Dirichlet boundary value,and under suitable assumptions on the nonlinear term f.Some existence results of solutions are given via the variational method.

同期刊论文项目
Hamilton系统的同宿轨与椭圆系统的边值问题
期刊论文 59
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期刊信息
  • 《数学学报》
  • 北大核心期刊（2011版）
  • 主管单位:中国科学院
  • 主办单位:中国科学院数学与系统科学研究院数学研究院
  • 主编：李炳仁
  • 地址：北京市海淀区中关村东路55号
  • 邮编：100080
  • 邮箱：Actamath@amss.ac.cn
  • 电话：010-62551910
  • 国际标准刊号：ISSN：0583-1431
  • 国内统一刊号：ISSN：11-2038/O1
  • 邮发代号:2-502
  • 获奖情况:
  • 1996年中科院优秀科技期刊二等奖,1997年全国优秀科技期刊二等奖,2000年中科院优秀科技期刊二等奖
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,荷兰文摘与引文数据库,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:9981