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.

引用

页码：500 / 504

页数：5

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