Multiple solutions to a class of inclusion problems with operator involving p(x)-Laplacian

被引:0
|
作者
Zhou, Qingmei [1 ]
机构
[1] Northeast Forestry Univ, Harbin 150040, Peoples R China
基金
中国博士后科学基金;
关键词
p(x)-Laplacian-like; differential inclusion; nonlinear eigenvalue problem; multiple solutions; ELLIPTIC-EQUATIONS; VARIABLE EXPONENT; REGULARITY; EXISTENCE;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we prove the existence of at least two nontrivial solutions for a nonlinear elliptic problem involving p(x)-Laplacian-like operator and nonsmooth potentials. Our approach is variational and it is based on the nonsmooth critical point theory for locally Lipschitz functions.
引用
收藏
页码:1 / 12
页数:12
相关论文
共 50 条
  • [1] Multiple solutions for a class of problems involving the p(x)-Laplacian operator
    Vicente de Sousa, Karla Carolina
    Tavares, Leandro S.
    APPLICABLE ANALYSIS, 2022, 101 (15) : 5415 - 5423
  • [2] Infinitely Many Solutions for a Class of Kirchhoff Problems Involving the p(x)-Laplacian Operator
    Ghanmi, A.
    Mbarki, L.
    Saoudi, K.
    MATHEMATICAL NOTES, 2023, 113 (1-2) : 172 - 181
  • [3] EXISTENCE OF SOLUTIONS FOR A CLASS OF NONLINEAR TYPE PROBLEMS INVOLVING THE p(x)-LAPLACIAN OPERATOR
    Allaoui, Mostafa
    Darhouche, Omar
    El Amrouss, Abderrachid
    Tsouli, Najib
    JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS, 2020, Mathematical Research Press (2020):
  • [4] Solutions of nonlinear problems involving p(x)-Laplacian operator
    Yucedag, Zehra
    ADVANCES IN NONLINEAR ANALYSIS, 2015, 4 (04) : 285 - 293
  • [5] Multiple Solutions for a Class of Differential Inclusion System Involving the (p(x), q(x))-Laplacian
    Ge, Bin
    Shen, Ji-Hong
    ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [6] Multiple solutions to a class of inclusion problem with the p(x)-Laplacian
    Ge, Bin
    Zhou, Qing Mei
    APPLICABLE ANALYSIS, 2012, 91 (05) : 895 - 909
  • [7] Multiplicity of solutions for differential inclusion problems in involving the p(x)-Laplacian
    Ge, Bin
    Zhou, Qing-Mei
    Xue, Xiao-Ping
    MONATSHEFTE FUR MATHEMATIK, 2012, 168 (3-4): : 363 - 380
  • [8] Multiple Ordered Solutions for a Class of Problems Involving the 1-Laplacian Operator
    dos Santos, Gelson
    Figueiredo, Giovany M.
    Pimenta, Marcos T. O.
    JOURNAL OF GEOMETRIC ANALYSIS, 2022, 32 (04)
  • [9] MULTIPLE SOLUTIONS FOR ELLIPTIC PROBLEMS INVOLVING THE p(x)-LAPLACIAN
    Bonanno, Gabriele
    Chinni, Antonia
    MATEMATICHE, 2011, 66 (01): : 105 - 113
  • [10] Multiple Ordered Solutions for a Class of Problems Involving the 1-Laplacian Operator
    Gelson dos Santos
    Giovany M. Figueiredo
    Marcos T. O. Pimenta
    The Journal of Geometric Analysis, 2022, 32