Existence and multiplicity results for Kirchhoff-type problem with sublinear nonlinearity

被引：2
|
作者：
Chen, Peng [1 ,2 ]
Zhang, Yuanyuan [1 ,2 ]
机构：
[1] China Three Gorges Univ, Coll Sci, Dept Math, Yichang 443002, Hubei, Peoples R China
[2] China Three Gorges Univ, Three Gorges Math Res Ctr, Yichang 443002, Hubei, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2021年 / 114卷 / 114期
关键词：
Kirchhoff-type problem; Sublinear; Genus; POSITIVE SOLUTIONS; NONTRIVIAL SOLUTIONS; EQUATIONS;
D O I：
10.1016/j.aml.2020.106900
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we deal with the existence and multiplicity of solutions of Kirchhoff type problem {- (a + b) integral(N)(R)vertical bar del u vertical bar(2)dx)Delta u + u = f(x,u), in R-N, u is an element of H-1(R-N), (0.1) where N >= 3. Under more relaxed assumptions on f, we establish some existence criteria to guarantee that the above problem has at least one or infinitely many nontrival solutions by using the genus properties in critical point theory. (C) 2020 Elsevier Ltd. All rights reserved.
引用
收藏
页数：8
相关论文
共 50 条
  • [21] On existence and multiplicity of solutions for Kirchhoff-type equations with a nonsmooth potential
    Ziqing Yuan
    Lihong Huang
    Boundary Value Problems, 2015
  • [22] Multiplicity and concentration behavior of solutions to the critical Kirchhoff-type problem
    Jian Zhang
    Wenming Zou
    Zeitschrift für angewandte Mathematik und Physik, 2017, 68
  • [23] Multiplicity and concentration behavior of solutions to the critical Kirchhoff-type problem
    Zhang, Jian
    Zou, Wenming
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2017, 68 (03):
  • [24] Existence and multiplicity of solutions for an indefinite Kirchhoff-type equation in bounded domains
    Sun, Juntao
    Wu, Tsung-fang
    PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2016, 146 (02) : 435 - 448
  • [25] Existence and multiplicity of solutions for fractional p(x)-Kirchhoff-type problems
    Hao, Zhiwei
    Zheng, Huiqin
    ELECTRONIC RESEARCH ARCHIVE, 2023, 31 (06): : 3309 - 3321
  • [26] Some existence results for an elliptic equation of Kirchhoff-type with changing sign data and a logarithmic nonlinearity
    Bouizem, Youcef
    Boulaaras, Salah
    Djebbar, Bachir
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019, 42 (07) : 2465 - 2474
  • [27] Existence and Concentration Results for the General Kirchhoff-Type Equations
    Yinbin Deng
    Wei Shuai
    Xuexiu Zhong
    The Journal of Geometric Analysis, 2023, 33
  • [28] Nonlocal Kirchhoff-type problems with singular nonlinearity: existence, uniqueness and bifurcation
    Linlin Wang
    Yuming Xing
    Binlin Zhang
    Fractional Calculus and Applied Analysis, 2023, 26 : 2928 - 2958
  • [29] MULTIPLICITY RESULTS FOR FOURTH ORDER ELLIPTIC EQUATIONS OF KIRCHHOFF-TYPE
    Xu, Liping
    Chen, Haibo
    ACTA MATHEMATICA SCIENTIA, 2015, 35 (05) : 1067 - 1076
  • [30] Existence and Concentration Results for the General Kirchhoff-Type Equations
    Deng, Yinbin
    Shuai, Wei
    Zhong, Xuexiu
    JOURNAL OF GEOMETRIC ANALYSIS, 2023, 33 (03)
12345