Multiplicity results for some fourth-order elliptic equations

被引：22

作者：

Wei, Yuanhong ^{[1
,2
]}

机构：

[1] Chinese Acad Sci, AMSS, Inst Math, Beijing 100190, Peoples R China

[2] Jilin Univ, Inst Math, Changchun 130012, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 385卷 / 02期

关键词：

Variational method; Mountain pass theorem; Upper-lower solutions; LOCAL SUPERLINEARITY; SUSPENSION BRIDGES; TRAVELING WAVES; SUBLINEARITY; EXISTENCE;

D O I：

10.1016/j.jmaa.2011.07.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with some fourth-order elliptic equations with Navier boundary condition. By using the variational method, some existence and multiplicity results are established. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：797 / 807

页数：11

共 50 条

[41] Multiple solutions for a fourth-order nonlinear elliptic problem
Pei, Ruichang
BOUNDARY VALUE PROBLEMS, 2012,
[42] Periodic solutions of some fourth-order nonlinear differential equations
Bereanu, Cristian
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (1-2) : 53 - 57
[43] Multiplicity results of positive solutions for fourth-order nonlinear differential equation with singularity
Cheng, Zhibo
Ren, Jingli
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2015, 38 (18) : 5284 - 5304
[44] Periodic solutions of some fourth-order nonlinear differential equations
Fan, Qiyi
Wang, Wentao
Zhou, Jinglei
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 233 (02) : 121 - 126
[45] Multiple Solutions to Boundary-Value Problems for Fourth-Order Elliptic Equations
Luyen, Duong Trong
Trang, Mai Thi Thu
UKRAINIAN MATHEMATICAL JOURNAL, 2023, 75 (06) : 950 - 963
[46] MULTIPLICITY OF CONCAVE AND MONOTONE POSITIVE SOLUTIONS FOR NONLINEAR FOURTH-ORDER ORDINARY DIFFERENTIAL EQUATIONS
Shen Chunfang
FIXED POINT THEORY, 2013, 14 (02): : 345 - 358
[47] Existence and multiplicity of solutions to boundary value problems for fourth-order impulsive differential equations
Cabada, Alberto
Tersian, Stepan
BOUNDARY VALUE PROBLEMS, 2014,
[48] Existence and multiplicity of solutions to boundary value problems for fourth-order impulsive differential equations
Alberto Cabada
Stepan Tersian
Boundary Value Problems, 2014
[49] Some results for fourth-order nonlinear differential equation with singularity
Xin, Yun
Cheng, Zhibo
BOUNDARY VALUE PROBLEMS, 2015,
[50] Fourth-order nonlocal type elliptic problems with indefinite nonlinearities
Silva, Edcarlos D.
de Albuquerque, J. C.
Cavalcante, T. R.
PARTIAL DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2021, 2 (02):

← 1 2 3 4 5 →