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p-Laplace非线性两点边值问题多个正解的存在性
  • ISSN号：2095-2651
  • 期刊名称：《数学研究及应用：英文版》
  • 时间：0
  • 分类：O175.8[理学—数学;理学—基础数学]
  • 作者机构：[1]河海大学常州校区数理部,江苏常州213022, [2]常州工程职业技术学院,江苏常州213004, [3]北京理工大学应用数学系,北京100081
  • 相关基金：the National Natural Science Foundation of China （10371006）
作者： 李志艳[1], 严树林[2], 葛渭高[3]
关键词： 边值问题, P-LAPLACIAN算子, 正解, 三个泛函不动点定理, boundary value problem, p-Laplacian operator, positive solution, the threefunctionals fixed point theorem.
中文摘要：

本文利用一种新的三个泛函不动点定理得到了p-Laplacian方程在具有非线性边值条件时：至少存在三个正解的充分条件，并且举了一个简单例子来说明得到的结论。

英文摘要：

By a simple application of a new three functionals fixed point theorem, sufficient conditions axe obtained to guarantee the existence of at least three positive solutions for p-Laplacian equation： （φp（u′））′ ＋ α（t）f（t,u（t）） = 0 subject to nonlinear boundary value conditions. An example is presented to illustrate the theory.

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期刊信息
  • 《数学研究及应用：英文版》
  • 中国科技核心期刊
  • 主管单位:国家教育部
  • 主办单位:大连理工大学
  • 主编：王仁宏
  • 地址：大连理工大学应用数学系
  • 邮编：116024
  • 邮箱：
  • 电话：0411-84707392
  • 国际标准刊号：ISSN：2095-2651
  • 国内统一刊号：ISSN：21-1579/O1
  • 邮发代号:8-92
  • 获奖情况:
  • 1998年大连市优秀期刊奖,2000年大连市优秀期刊奖
  • 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
  • 被引量:36