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一个椭圆特征问题的两个解分枝
  • ISSN号：1000-5277
  • 期刊名称：《福建师范大学学报：自然科学版》
  • 时间：0
  • 分类：O175.2[理学—数学;理学—基础数学]
  • 作者机构：[1]福建师范大学数学与计算机科学学院,福建福州350117
  • 相关基金：国家自然科学基金资助项目（10831005）
作者： 陈瑾[1], 李永青[1]
关键词： 解的连续性, 正解与负解, 椭圆特征值问题, continuity of solution, positive and negative solution, elliptic eigenvalue problem
中文摘要：

利用变分方法研究一类带约束的半线性椭圆特征问题解对参数的连续性,获得无约束半线性椭圆特征问题的两个分枝解的存在性.在一定条件下,得到了一个正解分枝和一个负解分枝.

英文摘要：

Study the continuity of the solutions with respect to a parameter for a semilinear el- liptic eigenvalue problem with constraint, and then obtain the existence of two branches of solutions for a semilinear elliptic eigenvalue problem without constraint by using variational methods. Under some assumptions, obtain a branch of positive solutions and a branch of negative solutions.

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期刊信息
  • 《福建师范大学学报：自然科学版》
  • 北大核心期刊（2011版）
  • 主管单位:福建师范大学
  • 主办单位:福建师范大学
  • 主编：余望
  • 地址：福州市福建师范大学旗山校区
  • 邮编：350117
  • 邮箱：linmin@fjnu.edu.cn
  • 电话：0591-22867857
  • 国际标准刊号：ISSN：1000-5277
  • 国内统一刊号：ISSN：35-1074/N
  • 邮发代号:34-43
  • 获奖情况:
  • 福建省优秀科技期刊,全国优秀高校自然科学学报,华东地区优秀期刊
  • 国内外数据库收录:
  • 美国化学文摘（网络版）,德国数学文摘,美国剑桥科学文摘,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）
  • 被引量:7294