Existence and multiplicity of solutions for a new p(x)-Kirchhoff equation

被引:3
作者
Chu, Changmu [1 ]
Liu, Jiaquan [2 ]
机构
[1] Guizhou Minzu Univ, Sch Preparatory Educ, Guiyang 550025, Guizhou, Peoples R China
[2] Peking Univ, Sch Math Sci, LMAM, Beijing 100871, Peoples R China
基金
中国国家自然科学基金;
关键词
p(x)-Kirchhoff equation; perturbation technique; invariant sets; variational method; VARIABLE EXPONENT;
D O I
10.1515/anona-2024-0018
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This article is devoted to study a class of new p ( x ) -Kirchhoff equation. By means of perturbation technique, variational method, and the method invariant sets for the descending flow, the existence and multiplicity of solutions to this problem are obtained.
引用
收藏
页数:21
相关论文
共 33 条
  • [1] Ambrosetti A., 1973, Journal of Functional Analysis, V14, P349, DOI 10.1016/0022-1236(73)90051-7
  • [2] A model porous medium equation with variable exponent of nonlinearity: existence, uniqueness and localization properties of solutions
    Antontsev, SN
    Shmarev, SI
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 60 (03) : 515 - 545
  • [3] Negative Energy Solutions for a New Fractional p(x)-Kirchhoff Problem without the (AR) Condition
    Bu, Weichun
    An, Tianqing
    Ye, Guoju
    Taarabti, Said
    [J]. JOURNAL OF FUNCTION SPACES, 2021, 2021
  • [4] Variable exponent, linear growth functionals in image restoration
    Chen, Yunmei
    Levine, Stacey
    Rao, Murali
    [J]. SIAM JOURNAL ON APPLIED MATHEMATICS, 2006, 66 (04) : 1383 - 1406
  • [5] Chu CM, 2021, ADV DIFFERENTIAL EQU, V26, P341
  • [6] Duan Y., 2017, J NONLINEAR SCI APP, V10, P6056
  • [7] Existence of solutions for p(x)-Laplacian Dirichlet problem
    Fan, XL
    Zhang, QH
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2003, 52 (08) : 1843 - 1852
  • [8] Ground state solution to N-Kirchhoff equation with critical exponential growth and without Ambrosetti-Rabinowitz condition
    Gupta, Shilpa
    Dwivedi, Gaurav
    [J]. RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2024, 73 (01) : 45 - 56
  • [9] New class of sixth-order nonhomogeneous p(x)-Kirchhoff problems with sign-changing weight functions
    Hamdani, Mohamed Karim
    Nguyen Thanh Chung
    Repovs, Dusan D.
    [J]. ADVANCES IN NONLINEAR ANALYSIS, 2021, 10 (01) : 1117 - 1131
  • [10] Existence and multiplicity results for a new p(x)-Kirchhoff problem
    Hamdani, Mohamed Karim
    Harrabi, Abdellaziz
    Mtiri, Foued
    Repovs, Dusan D.
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2020, 190