Bifurcation and multiplicity results for fourth-order equations

被引：2

作者：

Lu, Yao ^{[1
]}

Fu, Yongqiang ^{[1
]}

机构：

[1] Harbin Inst Technol, Dept Math, Harbin, Heilongjiang, Peoples R China

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2019年 / 64卷 / 10期

关键词：

Biharmonic operator; eigenvalue; bifurcation; minimax method; NONTRIVIAL SOLUTIONS;

D O I：

10.1080/17476933.2018.1536700

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove that fourth-order equations involving biharmonic operator with superlinear growth at infinity and saddle structure near zero have three nontrivial solutions. The approach is based on a combination of bifurcation theory and minimax methods.

引用

页码：1617 / 1633

页数：17

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