Existence of solutions for a class of problems in involving the -Laplacian

被引:0
|
作者
Alves, CO [1 ]
Souto, MAS [1 ]
机构
[1] Univ Fed Campina Grande, Dept Matemat & Estatist, BR-58109970 Campina Grande, PB, Brazil
关键词
variational methods; Sobolev embedding; quasilinear operator;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this work, we study the existence of solutions for a class of problems involving p(x)-Laplacian operator in RN. Using variational techniques we show some results of existence for a class of problems involving critical and subcritical growth.
引用
收藏
页码:17 / +
页数:2
相关论文
共 50 条
  • [1] Existence of heteroclinic solutions for a class of problems involving the fractional Laplacian
    Alves, Claudianor O.
    Ambrosio, Vincenzo
    Torres Ledesma, Cesar E.
    ANALYSIS AND APPLICATIONS, 2019, 17 (03) : 425 - 451
  • [2] Existence of nonnegative viscosity solutions for a class of problems involving the ∞-Laplacian
    Bocea, Marian
    Mihailescu, Mihai
    NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2016, 23 (02):
  • [3] Existence of Solutions for a Class of Dirichlet Problems Involving Fractional (p, q)-Laplacian Operators
    Moujani, Hasna
    El Mfadel, Ali
    Kassidi, Abderrazak
    Elomari, M'hamed
    JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, 2024, 30 (04)
  • [4] 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):
  • [5] Existence of bounded solutions for a class of singular elliptic problems involving the 1-Laplacian operator
    Mohamed El Hichami
    Youssef El Hadfi
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2023, 117
  • [6] Existence and regularity of solutions for a class of fractional Laplacian problems
    Wu, Pengcheng
    Huang, Yisheng
    Zhou, Yuying
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 318 : 480 - 501
  • [7] Existence of bounded solutions for a class of singular elliptic problems involving the 1-Laplacian operator
    El Hichami, Mohamed
    El Hadfi, Youssef
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2023, 117 (03)
  • [8] Existence of positive solutions to elliptic problems involving the fractional Laplacian
    Ge, Bin
    Zhang, Chao
    BOUNDARY VALUE PROBLEMS, 2015, : 1 - 12
  • [9] Existence of positive solutions to elliptic problems involving the fractional Laplacian
    Bin Ge
    Chao Zhang
    Boundary Value Problems, 2015
  • [10] Existence results for a class of nonlocal problems involving p(x)-Laplacian
    Allaoui, Mostafa
    El Amrouss, Abdel Rachid
    Ourraoui, Anass
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2016, 39 (04) : 824 - 832