Existence of three solutions for a perturbed two-point boundary value problem

被引:33
作者
Bonanno, Gabriele [1 ]
Chinni, Antonia [1 ]
机构
[1] Univ Messina, Fac Engn, Dept Sci Engn & Architecture, Math Sect, I-98166 Messina, Italy
关键词
Three solutions; Two-point boundary value problem; Critical point; MULTIPLICITY RESULT; PERTURBATIONS;
D O I
10.1016/j.aml.2010.03.015
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The aim of this note is to establish the existence of three solutions for a perturbed two-point boundary value problem depending of two real parameters. The approach is based on variational methods. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码:807 / 811
页数:5
相关论文
共 16 条
[1]   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
[2]   Existence of three solutions for a two point boundary value problem [J].
Bonannao, G .
APPLIED MATHEMATICS LETTERS, 2000, 13 (05) :53-57
[3]   Non-differentiable functionals and applications to elliptic problems with discontinuous nonlinearities [J].
Bonanno, Gabriele ;
Candito, Pasquale .
JOURNAL OF DIFFERENTIAL EQUATIONS, 2008, 244 (12) :3031-3059
[4]   On the structure of the critical set of non-differentiable functions with a weak compactness condition [J].
Bonanno, Gabriele ;
Marano, Salvatore A. .
APPLICABLE ANALYSIS, 2010, 89 (01) :1-10
[5]   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
[6]   Perturbations of nonsmooth symmetric nonlinear eigenvalue problems [J].
Degiovanni, M ;
Radulescu, V .
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1999, 329 (04) :281-286
[7]   A multiplicity result for p-Lapacian boundary value problems via critical points theorem [J].
Du, Zengji ;
Lin, Xiaojie ;
Tisdell, Christopher C. .
APPLIED MATHEMATICS AND COMPUTATION, 2008, 205 (01) :231-237
[8]   Existence of three solutions for a quasilinear two-point boundary value problem [J].
He, XM ;
Ge, WG .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2003, 45 (4-5) :765-769
[9]   Three solutions for a class of quasilinear elliptic systems involving the (p, q)-Laplacian [J].
Li, Chun ;
Tang, Chun-Lei .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (10) :3322-3329
[10]   Perturbations from symmetric elliptic boundary value problems [J].
Li, SJ ;
Liu, ZL .
JOURNAL OF DIFFERENTIAL EQUATIONS, 2002, 185 (01) :271-280