Infinitely many radial solutions for Kirchhoff-type problems in RN

被引：187
作者：
Jin, Jiahua [1 ]
Wu, Xian [1 ]
机构：
[1] Yunnan Normal Univ, Dept Math, Kunming 650092, Yunnan, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 369卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Fountain Theorem; Kirchhoff-type problem; Critical point; POSITIVE SOLUTIONS; EQUATION;
D O I：
10.1016/j.jmaa.2010.03.059
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we concern with a class of Kirchhoff-type problems in R-N. By using the Fountain Theorem we obtain three existence results of infinitely many radial solutions for the problem. (C) 2010 Elsevier Inc. All rights reserved.
引用
收藏
页码：564 / 574
页数：11
相关论文
共 16 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]   On the well-posedness of the Kirchhoff string [J].
Arosio, A ;
Panizzi, S .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1996, 348 (01) :305-330
[3]  
Bernstein S., 1940, Bull. Acad. Sci. URSS. Sr. Math. (Izvestia Akad. Nauk SSSR), V4, P17
[4]  
Cavalcanti MM., 2001, Adv. Differential Equations, V6, P701
[5]   Existence results of positive solutions of Kirchhoff type problems [J].
Cheng, Bitao ;
Wu, Xian .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (10) :4883-4892
[6]   Some remarks on non local elliptic and parabolic problems [J].
Chipot, M ;
Lovat, B .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 30 (07) :4619-4627
[7]   GLOBAL SOLVABILITY FOR THE DEGENERATE KIRCHHOFF EQUATION WITH REAL ANALYTIC DATA [J].
DANCONA, P ;
SPAGNOLO, S .
INVENTIONES MATHEMATICAE, 1992, 108 (02) :247-262
[8]   Infinitely many positive solutions for Kirchhoff-type problems [J].
He, Xiaoming ;
Zou, Wenming .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (03) :1407-1414
[9]  
Kirchhoff G., 1883, MECHANIK
[10]  
Lions J., 1978, N HOLLAND MATH STUD, V30, P284, DOI DOI 10.1016/S0304-0208(08)70870-3
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