Existence of three solutions for (p, q)-biharmonic systems

被引:38
作者
Li, Lin [1 ,2 ]
Tang, Chun-Lei [1 ]
机构
[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China
[2] Sichuan Univ Sci & Engn, Dept Sci, Zigong 643000, Peoples R China
基金
中国国家自然科学基金;
关键词
(p; q)-biharmonic; Navier condition; Multiple solutions; Three critical points theorem; BOUNDARY-VALUE PROBLEM; CRITICAL-POINTS THEOREM; STRIP-LIKE DOMAINS; ELLIPTIC-SYSTEMS; P-LAPLACIAN; MULTIPLE SOLUTIONS; EQUATIONS;
D O I
10.1016/j.na.2010.04.018
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we establish the existence of at least three solutions to a Navier boundary problem involving the (p, q)-biharmonic systems. The technical approach is mainly based on a three critical points theorem of B. Ricceri. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码:796 / 805
页数:10
相关论文
共 24 条
[1]   Three solutions for a Dirichlet boundary value problem involving the p-Laplacian [J].
Afrouzi, G. A. ;
Heidarkhani, S. .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 66 (10) :2281-2288
[2]   Existence of three solutions for a class of Dirichlet quasilinear elliptic systems involving the (p1, ..., pn)-Laplacian [J].
Afrouzi, G. A. ;
Heidarkhani, S. .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (01) :135-143
[3]   Some remarks on a system of quasilinear elliptic equations [J].
Boccardo, L ;
de Figueiredo, DG .
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2002, 9 (03) :309-323
[4]   Existence of three solutions for a two point boundary value problem [J].
Bonannao, G .
APPLIED MATHEMATICS LETTERS, 2000, 13 (05) :53-57
[5]   Three solutions to a Neumann problem for elliptic equations involving the p-Laplacian [J].
Bonanno, G ;
Candito, P .
ARCHIV DER MATHEMATIK, 2003, 80 (04) :424-429
[6]   Multiplicity theorems for the Dirichlet problem involving the p-Laplacian [J].
Bonanno, G ;
Livrea, R .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2003, 54 (01) :1-7
[7]   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
[8]   Multiple solutions for a quasilinear elliptic variational system on strip-like domains [J].
Cammaroto, F. ;
Chinni, A. ;
Di Bella, B. .
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2007, 50 :597-603
[9]   Multiple solutions for a two-point boundary value problem [J].
Cammaroto, F. ;
Chinni, A. ;
Di Bella, B. .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 323 (01) :530-534
[10]   Existence of three solutions for a nonautonomous two point boundary value problem [J].
Candito, P .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 252 (02) :532-537