Nontrivial solutions of Kirchhoff type problems

被引：53
|
作者：
Sun, Juan [1 ]
Liu, Shibo [1 ]
机构：
[1] Shantou Univ, Dept Math, Shantou 515063, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2012年 / 25卷 / 03期
关键词：
Kirchhoff type problems; Eigenvalues; Critical groups; Critical points; MULTIPLICITY; EXISTENCE;
D O I：
10.1016/j.aml.2011.09.045
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, we study Kirchhoff type problems on a bounded domain. We consider the cases where the nonlinearity is superlinear near zero but asymptotically 4-linear at infinity, and the nonlinearity is asymptotically linear near zero but 4-superlinear at infinity. By computing the relevant critical groups, we obtain nontrivial solutions via Morse theory. (C) 2011 Elsevier Ltd. All rights reserved.
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页码：500 / 504
页数：5
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