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一维p-拉普拉斯四点边值问题拟对称正解的多重性 被引量：2

MULTIPLICITY OF POSITIVE PSEUDO-SYMMETRIC SOLUTIONS FOR A FOUR-POINT BOUNDARY VELUE PROBLEM WITH A ONE-DIMENSIONAL p-LAPLACIAN
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摘要 应用凸锥上的一个不动点定理,讨论了一类一维p-拉普拉斯四点边值问题在非线性项f依赖于未知函数的一阶导数的情况下拟对称正解的多重性,得到了这类边值问题存在多个拟对称正解的充分条件. In this paper, by using a fixed point theorem on convex cone, the four-point boundary value problem is considered for p-Laplace equations with the nonlinear term depending on the first order derivative, some multiplicity results of the positive pseudo-symmetric solutions are obtained.
作者 田元生 刘春根
机构地区 湘南学院数学系 南开大学数学学院
出处 《系统科学与数学》 CSCD 北大核心 2010年第3期349-357,共9页 Journal of Systems Science and Mathematical Sciences
基金 国家自然科学基金重点项目(10531050) 国家自然科学基金创新团队项目资助 湖南省教育厅科研项目(08C826) 湖南省重点建设学科项目 湖南省高校科技创新团队计划资助 科技部973(2006CB805903)项目资助
关键词 p-拉普拉斯算子 四点边值问题 拟对称正解 锥 p-Laplacian, four-point boundary value porblem, positive pseudo-symmetric solution, cone.
分类号 O175.8 [理学—基础数学]
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共引文献9

同被引文献17

  • 1郭彦平,葛渭高,董士杰.具有变号非线性项的二阶三点边值问题的两个正解[J].应用数学学报,2004,27(3):522-529. 被引量：27
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系统科学与数学
2010年 第3期

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