理论数学  >> Vol. 5 No. 2 (March 2015)

具有Hardy奇异项的近共振Kirchhoff方程正解的多重性
Multiplicity of Positive Solutions for Kirchhoff Type of Equation with Hardy Singular Item

DOI: 10.12677/PM.2015.52004, PDF, HTML, XML, 下载: 1,733  浏览: 5,497  科研立项经费支持

作者: 容 红, 雷春雨, 索洪敏:贵州民族大学理学院,贵州 贵阳

关键词: Kirchhoff方程Hardy奇异项变分法近共振Kirchhoff Type of Equation Hardy Singular Term Variational Methods Near Resonance

摘要: 本文利用变分法中的局部极小定理和山路引理,研究了具有Hardy奇异项的Kirchhoff方程,从而得到了具有Hardy奇异项的Kirchhoff方程在主特征值处近共振问题解的多重性结果。
Abstract: In this paper, using the local minimum theorem and mountain pass lemma of variational methods, we study the Kirchhoff equation with Hardy singular term, and obtain multi- plicity results of solutions for this equation near resonance with principal eigenvalue.

文章引用: 容红, 雷春雨, 索洪敏. 具有Hardy奇异项的近共振Kirchhoff方程正解的多重性[J]. 理论数学, 2015, 5(2): 21-27. http://dx.doi.org/10.12677/PM.2015.52004