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,    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. https://dx.doi.org/10.12677/PM.2015.52004

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