Kirchhoff type problems in RN with radial potentials and locally Lipschitz functional

被引:33
作者
Mao, Anmin [1 ]
Chang, Hejie [1 ]
机构
[1] Qufu Normal Univ, Sch Math Sci, Jining 273165, Shandong, Peoples R China
基金
中国国家自然科学基金;
关键词
Kirchhoff type problem; Radial potentials; Sobolev embedding theorem; SIGN-CHANGING SOLUTIONS; NONTRIVIAL SOLUTIONS; EXISTENCE; EQUATIONS; MULTIPLICITY;
D O I
10.1016/j.aml.2016.06.014
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we consider the Kirchhoff type problem with radial potentials and locally Lipschitz functional and there is no subcritical growth and no Ambrosetti-Rabinowitz type condition. This is in contrast with some recent papers concerning similar problems. (C) 2016 Elsevier Ltd. All rights reserved.
引用
收藏
页码:49 / 54
页数:6
相关论文
共 15 条
[1]  
Adams R.A., 1975, Sobolev Spaces
[2]   VARIATIONAL-METHODS FOR NON-DIFFERENTIABLE FUNCTIONALS AND THEIR APPLICATIONS TO PARTIAL-DIFFERENTIAL EQUATIONS [J].
CHANG, KC .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1981, 80 (01) :102-129
[3]   NEW APPROACH TO LAGRANGE MULTIPLIERS. [J].
Clarke, Frank H. .
Mathematics of Operations Research, 1976, 1 (02) :165-174
[4]   Mountain pass solutions to equations of p-Laplacian type [J].
De Nápoli, P ;
Mariani, MC .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2003, 54 (07) :1205-1219
[5]   Multiplicity of solutions for a class of Kirchhoff type problems [J].
He, Xiao-ming ;
Zou, Wen-ming .
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2010, 26 (03) :387-394
[6]   Infinitely many radial solutions for Kirchhoff-type problems in RN [J].
Jin, Jiahua ;
Wu, Xian .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 369 (02) :564-574
[7]  
Li AR, 2014, TOPOL METHOD NONL AN, V43, P439
[8]   Existence of a positive solution to Kirchhoff type problems without compactness conditions [J].
Li, Yuhua ;
Li, Fuyi ;
Shi, Junping .
JOURNAL OF DIFFERENTIAL EQUATIONS, 2012, 253 (07) :2285-2294
[9]   Positive solutions for a nonlinear nonlocal elliptic transmission problem [J].
Ma, TF ;
Rivera, JEM .
APPLIED MATHEMATICS LETTERS, 2003, 16 (02) :243-248
[10]   Sign-changing solutions of a class of nonlocal quasilinear elliptic boundary value problems [J].
Mao, Anmin ;
Luan, Shixia .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 383 (01) :239-243