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关于二阶半线性椭圆方程的Dirichlet边值问题一个注记（英文）
  • ISSN号：0255-7797
  • 期刊名称：《数学杂志》
  • 时间：0
  • 分类：O175.25[理学—数学;理学—基础数学] O175.8[理学—数学;理学—基础数学]
  • 作者机构：[1]东北大学数学系,辽宁沈阳110819, [2]赤峰学院数学与统计学院,内蒙古赤峰024000
  • 相关基金：Supported by National Natural Science Foundation of China （10971179）.
作者： 敖恩[1,2], 张国伟[1]
关键词： 椭圆方程, 山路引理, 最小作用原理, 临界点, elliptic equation, mountain pass lemma, least action principle, critical point
中文摘要：

本文研究二阶半线性椭圆方程的Dirichlet边值问题.利用山路引理和最小作用原理,获得了在新条件下具有Dirichlet边值问题的二阶半线性椭圆方程的弱解的存在性的结果.

英文摘要：

In this paper, we study the Dirichlet problem for semilinear second order elliptic equation. By using the mountain pass lemma and the least action principle, we obtain the existence of weak solution to semilinear second order elliptic equation under some new conditions which are different from the previous ones.

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期刊信息
  • 《数学杂志》
  • 北大核心期刊（2011版）
  • 主管单位:中华人民共和国教育部
  • 主办单位:武汉大学 湖北省数学学会 武汉数学学会
  • 主编：陈化
  • 地址：湖北武汉大学
  • 邮编：430072
  • 邮箱：jmath@whu.edu.cn
  • 电话：027-68754687
  • 国际标准刊号：ISSN：0255-7797
  • 国内统一刊号：ISSN：42-1163/O1
  • 邮发代号:38-71
  • 获奖情况:
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,德国数学文摘,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:3910