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.

引用

页码：14704 / 14725

页数：22

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