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具p-Laplacian算子的多点边值问题三个对称正解的存在性
  • ISSN号：0583-1431
  • 期刊名称：《数学学报》
  • 时间：0
  • 分类：O175.14[理学—数学;理学—基础数学]
  • 作者机构：[1]北京理工大学理学院数学系,北京100081, [2]中国地质大学长城学院信息工程系,保定071000
  • 相关基金：国家自然科学基金资助项目（10671012）;教育部博士专项基金（20050007011） 致谢 作者对审稿人表示衷心感谢.
作者： 赵俊芳[1], 王文丽[2], 葛渭高[1]
关键词： 多点边值问题, 对称正解, 不动点定理, multi-point boundary value problem, symmetric positive solutions, fixed point theorem
中文摘要：

考虑了一类带p-Laplacian算子的多点边值问题．通过运用锥上的不动点定理，得到了该类问题至少三个对称正解的存在性．有趣的是本文中的边界条件是一个新型的Sturm—Liouville型边界条件，这类边值问题到目前还很少被研究．

英文摘要：

We are concerned with a kind of multi-point boundary value problem with one-dimensional p-Laplacian. By using a fixed point theorem in a cone, we obtain theexistence of at least three symmetric positive solutions. The interesting point is that the boundary condition is a new kind Sturm-Liouville-like boundary condition, which has rarely been treated up to now.

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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