Multiplicity results for the Kirchhoff type equation via critical groups

被引：0
|
作者：
Zhenting Wang
Mingzheng Sun
Yutong Chen
Leiga Zhao
机构：
[1] North China University of Technology,College of Sciences
[2] Capital Normal University,School of Mathematical Sciences
[3] Beijing University of Chemical Technology,Department of Mathematics
来源：
Boundary Value Problems | / 2018卷
关键词：
Kirchhoff type equations; Multiple solutions; Morse theory; 35J20; 35B34; 58E05;
D O I：
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学科分类号：
摘要：
In this paper, we will compute critical groups at zero for the Kirchhoff type equation using the property that critical groups are invariant under homotopies preserving isolatedness of critical points. Using this results, we can get more nontrivial solutions when the functional of this equation is coercive.
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