Multiple solutions for a perturbed fourth-order Kirchhoff type elliptic problem

被引：17
作者：
Heidarkhani, Shapour [1 ]
Khademloo, Somaye [2 ]
Solimaninia, Arezoo [1 ]
机构：
[1] Razi Univ, Fac Sci, Dept Math, Kermanshah 67149, Iran
[2] Babol Noushirvani Univ Technol, Sch Basic Sci, Dept Math, Babol Sar 4714871167, Iran
来源：
PORTUGALIAE MATHEMATICA | 2014年 / 71卷 / 01期
关键词：
Multiple solutions; perturbed fourth-order Kirchhoff-type elliptic problem; critical point theory; variational methods; BOUNDARY-VALUE PROBLEM; POSITIVE SOLUTIONS; NONTRIVIAL SOLUTIONS; EXISTENCE; BEAM; EQUATION;
D O I：
10.4171/PM/1940
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The existence of three distinct weak solutions for a perturbed fourth-order Kirchhoff-type elliptic problem is investigated. Our approach is based on variational methods.
引用
收藏
页码：39 / 61
页数：23
相关论文
共 45 条
  • [1] Positive solutions for a quasilinear elliptic equation of Kirchhoff type
    Alves, CO
    Corrêa, FJSA
    Ma, TF
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2005, 49 (01) : 85 - 93
  • [2] ON A MIXED BOUNDARY VALUE PROBLEM INVOLVING THE p-LAPLACIAN
    Averna, D.
    Buccellato, S. M.
    Tornatore, E.
    [J]. MATEMATICHE, 2011, 66 (01): : 93 - 104
  • [3] EXISTENCE OF THREE SOLUTIONS FOR A MIXED BOUNDARY VALUE PROBLEM WITH THE STURM-LIOUVILLE EQUATION
    Averna, Diego
    Giovannelli, Nicolo
    Tornatore, Elisabetta
    [J]. BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2012, 49 (06) : 1213 - 1222
  • [4] On positive solutions of some nonlinear fourth-order beam equations
    Bai, ZB
    Wang, HY
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 270 (02) : 357 - 368
  • [5] Berger H.M., 1955, J APPL MECH, V22, P465
  • [6] A critical points theorem and nonlinear differential problems
    Bonanno, G
    [J]. JOURNAL OF GLOBAL OPTIMIZATION, 2004, 28 (3-4) : 249 - 258
  • [7] Non-differentiable functionals and applications to elliptic problems with discontinuous nonlinearities
    Bonanno, Gabriele
    Candito, Pasquale
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2008, 244 (12) : 3031 - 3059
  • [8] A boundary value problem for fourth-order elastic beam equations
    Bonanno, Gabriele
    Di Bella, Beatrice
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 343 (02) : 1166 - 1176
  • [9] Non-trivial solutions for nonlinear fourth-order elastic beam equations
    Bonanno, Gabriele
    Di Bella, Beatrice
    O'Regan, Donal
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (04) : 1862 - 1869
  • [10] Infinitely many solutions for a fourth-order elastic beam equation
    Bonanno, Gabriele
    Di Bella, Beatrice
    [J]. NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2011, 18 (03): : 357 - 368
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