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

 

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。

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 (2015) 具有Hardy奇异项的近共振Kirchhoff方程正解的多重性。 理论数学, 5, 21-27. doi: 10.12677/PM.2015.52004

 

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