Computations of Critical Groups and Applications to Nonlinear Differential Equations With Resonance
Computations of Critical Groups and Applications to Nonlinear Differential Equations With Resonance
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DOI：
10.1515/ans-2007-0307
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发表时间：
2007-08
影响因子：
1.8
通讯作者：
Yuxia Guo;Jiaquan Liu
中科院分区：
文献类型：
--
作者：
Yuxia Guo;Jiaquan Liu
本文在更一般的条件下，给出了一种计算退化临界点处临界群的方法。利用这些抽象结果研究了在无穷远点和零点处同时共振的非线性微分方程非平凡解的存在性和多解性。
Abstract In this paper, we develop a method to compute critical groups at degenerate critical points under more general conditions. The abstract results are used to study the existence and multiplicity of nontrivial solutions for nonlinear differential equations with resonance both at infinity and at zero.