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

共 50 条

[21] Multiplicity of Solutions for Fourth-Order Elliptic Equations of Kirchhoff Type with Critical Exponent
Yueqiang Song
Shaoyun Shi
Journal of Dynamical and Control Systems, 2017, 23 : 375 - 386
[22] MAXIMUM PRINCIPLES FOR SOLUTIONS OF SOME FOURTH-ORDER ELLIPTIC EQUATIONS
DUNNINGER, DR
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1972, 37 (03) : 655 - +
[23] Existence and multiplicity of weak solutions for a system of fourth-order elliptic equations with combined nonlocal and indefinite source terms
Kefi, Khaled
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2025, 48 (01) : 517 - 534
[24] Existence and multiplicity of solutions for a fourth-order elliptic equation
Wang, Fanglei
An, Yukun
BOUNDARY VALUE PROBLEMS, 2012,
[25] Existence results for some fourth-order nonlinear elliptic problems
Zhang, JH
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 45 (01) : 29 - 36
[26] Existence and multiplicity of solutions for a fourth-order elliptic equation
Fanglei Wang
Yukun An
Boundary Value Problems, 2012
[27] MULTIPLICITY RESULTS FOR FOURTH ORDER ELLIPTIC EQUATIONS OF KIRCHHOFF-TYPE
Xu, Liping
Chen, Haibo
ACTA MATHEMATICA SCIENTIA, 2015, 35 (05) : 1067 - 1076
[28] MULTIPLICITY RESULTS FOR FOURTH ORDER ELLIPTIC EQUATIONS OF KIRCHHOFF-TYPE
许丽萍
陈海波
Acta Mathematica Scientia(English Series), 2015, 35 (05) : 1067 - 1076
[29] Multiplicity of Solutions for Fourth-Order Elliptic Equations with p-Laplacian and Mixed Nonlinearity
Benhanna, A. H.
Choutri, A.
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2020, 17 (02)
[30] MULTIPLICITY OF SOLUTIONS FOR A CLASS OF FOURTH-ORDER ELLIPTIC EQUATIONS OF P(X)-KIRCHHOFF TYPE
Nguyen Thanh Chung
Naghizadeh, Zohreh
MATHEMATICA SLOVACA, 2021, 71 (06) : 1441 - 1458

← 1 2 3 4 5 →