Multiplicity results for some fourth-order elliptic equations with combined nonlinearities

被引：1
|
作者：
Pei, Ruichang [1 ]
Xia, Hongming [1 ]
机构：
[1] Tianshui Normal Univ, Sch Math & Stat, Tianshui 741001, Peoples R China
来源：
AIMS MATHEMATICS | 2023年 / 8卷 / 06期
关键词：
fourth-order elliptic Navier boundary value problem; the variational method; Adams inequality; subcritical and critical exponential growth; NONTRIVIAL SOLUTIONS; BIHARMONIC-EQUATIONS; EXISTENCE; OSCILLATIONS; GROWTH;
D O I：
10.3934/math.2023752
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we regard with some fourth-order elliptic boundary value problems involving subcritical polynomial growth and subcritical (critical) exponential growth. Some new existence and multiplicity results are established by using variational methods combined Adams inequality.
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页码：14704 / 14725
页数：22
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