Existence and concentration of solutions for a class of biharmonic Kirchhoff equations with discontinuous nonlinearity

被引：0
|
作者：
Yuan, Ziqing [1 ]
机构：
[1] Shaoyang Univ, Dept Math, Shaoyang 422000, Hunan, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2023年 / 46卷 / 02期
基金：
中国国家自然科学基金;
关键词：
biharmonic Kirchhoff equation; critical condition; nonsmooth analysis; variational method; 4TH-ORDER ELLIPTIC-EQUATIONS; NONTRIVIAL SOLUTIONS; MULTIPLE SOLUTIONS;
D O I：
10.1002/mma.8645
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper concerns the existence and concentration of positive solutions for a class of biharmonic Kirchhoff equations with discontinuous nonlinearity. The proof relies on variational method, truncated methods, and nonsmooth critical points theory. Some related results are improved.
引用
收藏
页码：2288 / 2304
页数：17
相关论文
共 50 条
  • [1] Existence of solutions for a class of biharmonic equations with critical nonlinearity in
    Liang, Sihua
    Zhang, Jihui
    Luo, Yingyu
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2016, 110 (02) : 681 - 693
  • [2] Existence and concentration of solutions for a class of biharmonic equations
    Pimenta, Marcos T. O.
    Soares, Sergio H. M.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 390 (01) : 274 - 289
  • [3] Existence of Weak Solutions for a Class of ( p, q )-biharmonic Equations with Critical Exponent and Discontinuous Nonlinearity
    Bae, Jung-Hyun
    Kim, Jae-Myoung
    TAIWANESE JOURNAL OF MATHEMATICS, 2024, 28 (04): : 743 - 765
  • [4] EXISTENCE AND CONCENTRATION OF SOLUTIONS FOR A CLASS OF ELLIPTIC PROBLEMS WITH DISCONTINUOUS NONLINEARITY IN RN
    Alves, Claudianor O.
    Nascimento, Rubia G.
    MATHEMATICA SCANDINAVICA, 2013, 112 (01) : 129 - 146
  • [5] Existence of Multiple Solutions for a Class of Biharmonic Equations
    Liu, Chunhan
    Wang, Jianguo
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2013, 2013
  • [6] Concentration of solutions for fractional Kirchhoff equations with discontinuous reaction
    Zhisu Liu
    Vicenţiu D. Rădulescu
    Ziqing Yuan
    Zeitschrift für angewandte Mathematik und Physik, 2022, 73
  • [7] Concentration of solutions for fractional Kirchhoff equations with discontinuous reaction
    Liu, Zhisu
    Radulescu, Vicentiu D.
    Yuan, Ziqing
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2022, 73 (05):
  • [8] Positive solutions for a class of biharmonic equations: Existence and uniqueness
    Feng, Meiqiang
    Chen, Haiping
    APPLIED MATHEMATICS LETTERS, 2023, 143
  • [9] Multiple solutions for a class of biharmonic equations with a nonlinearity concave at the origin
    Zhang, Jian
    Wei, Zhongli
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 383 (02) : 291 - 306
  • [10] EXISTENCE OF INFINITELY MANY SOLUTIONS OF BIHARMONIC EQUATIONS INVOLVING LOGARITHMIC NONLINEARITY
    Liu, Jiaxin
    Guo, Zuji
    ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES, 2018, 19 (04): : 419 - 430
12345