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.
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页码：1617 / 1633
页数：17
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