标题:
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
关键字:
Kirchhoff方程, Hardy奇异项, 变分法, 近共振Kirchhoff Type of Equation, Hardy Singular Term, Variational Methods, Near Resonance
期刊名称:
《Pure Mathematics》, Vol.5 No.2, 2015-03-02
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.