Multiplicity results for perturbed fourth-order Kirchhoff type elliptic problems

被引：49
作者：
Ferrara, Massimiliano [1 ]
Khademloo, Somaye [2 ]
Heidarkhani, Shapour [3 ]
机构：
[1] Univ Mediterranea Reggio Calabria, Dept Law & Econ, I-89127 Reggio Di Calabria, Italy
[2] Babol Noushirvani Univ Technol, Dept Basic Sci, Babol Sar, Iran
[3] Razi Univ, Fac Sci, Dept Math, Kermanshah 67149, Iran
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 234卷
关键词：
Multiple solutions; Perturbed fourth-order Kirchhoff-type elliptic problem; Critical point theory; Variational methods; BOUNDARY-VALUE PROBLEM; NONTRIVIAL SOLUTIONS; POSITIVE SOLUTIONS; EXISTENCE;
D O I：
10.1016/j.amc.2014.02.041
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Using variational methods and critical point theory, we establish multiplicity results of nontrivial and nonnegative solutions for a perturbed fourth-order Kirchhoff type elliptic problem. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码：316 / 325
页数：10
相关论文
共 31 条
[1]   Positive solutions for a quasilinear elliptic equation of Kirchhoff type [J].
Alves, CO ;
Corrêa, FJSA ;
Ma, TF .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2005, 49 (01) :85-93
[2]  
[Anonymous], 1986, CBMS REG C SER MATH
[3]  
[Anonymous], 1985, NONLINEAR FUNCTIONAL
[4]  
Bonanno G., 2010, P R SOC EDINB, V140, P1
[5]   A boundary value problem for fourth-order elastic beam equations [J].
Bonanno, Gabriele ;
Di Bella, Beatrice .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 343 (02) :1166-1176
[6]   A critical point theorem via the Ekeland variational principle [J].
Bonanno, Gabriele .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (05) :2992-3007
[7]   Non-trivial solutions for nonlinear fourth-order elastic beam equations [J].
Bonanno, Gabriele ;
Di Bella, Beatrice ;
O'Regan, Donal .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (04) :1862-1869
[8]   Infinitely many solutions for a fourth-order elastic beam equation [J].
Bonanno, Gabriele ;
Di Bella, Beatrice .
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2011, 18 (03) :357-368
[9]   A fourth-order boundary value problem for a Sturm-Liouville type equation [J].
Bonanno, Gabriele ;
Di Bella, Beatrice .
APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (08) :3635-3640
[10]   Positivity and lower and upper solutions for fourth order boundary value problems [J].
Cabada, Alberto ;
Angel Cid, J. ;
Sanchez, Luis .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 67 (05) :1599-1612
1234