On a class of nonvariational problems in fractional Orlicz-Sobolev spaces

被引：21
|
作者：
Bahrouni, Anouar [1 ]
Bahrouni, Sabri [1 ]
Xiang, Mingqi [2 ]
机构：
[1] Univ Monastir, Fac Sci, Math Dept, Monastir 5019, Tunisia
[2] Civil Aviat Univ China, Coll Sci, Tianjin 300300, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2020年 / 190卷
关键词：
Fractional Orlicz-Sobolev space; Fractional M-Laplacian; Nonvariational problem; Pseudomonotone operator; POSITIVE SOLUTIONS; OPERATORS;
D O I：
10.1016/j.na.2019.11595
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we deal with a nonlinear problem driven by the fractional M-Laplacian and with a nonlinear nonhomogeneous reaction term. First, we give some further properties for the new fractional Orlicz-Sobolev space. Then, using the theory of nonlinear operators of monotone-type, we show the existence of a nonnegative solution. Our problem is nonvariational in nature. (C) 2019 Elsevier Ltd. All rights reserved.
引用
收藏
页数：13
相关论文
共 50 条
  • [1] On a class of nonvariational problems in fractional Orlicz–Sobolev spaces
    Bahrouni, Anouar
    Bahrouni, Sabri
    Xiang, Mingqi
    [J]. Nonlinear Analysis, Theory, Methods and Applications, 2020, 190
  • [2] On fractional Orlicz-Sobolev spaces
    Alberico, Angela
    Cianchi, Andrea
    Pick, Lubos
    Slavikova, Lenka
    [J]. ANALYSIS AND MATHEMATICAL PHYSICS, 2021, 11 (02)
  • [3] A class of elliptic inclusion in fractional Orlicz-Sobolev spaces
    El-houari, Hamza
    Moussa, Hicham
    Chadli, Lalla Saadia
    [J]. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2024, 69 (05) : 755 - 772
  • [4] ON THE FRACTIONAL ELLIPTIC PROBLEMS WITH DIFFERENCE IN THE ORLICZ-SOBOLEV SPACES
    Jung, Tacksun
    Choi, Q-Heung
    [J]. ADVANCES IN DIFFERENTIAL EQUATIONS, 2022, 27 (5-6) : 385 - 406
  • [5] ON A CLASS OF NONHOMOGENOUS QUASILINEAR PROBLEMS IN ORLICZ-SOBOLEV SPACES
    Souayah, Asma Karoui
    [J]. OPUSCULA MATHEMATICA, 2012, 32 (04) : 731 - 750
  • [6] Fractional order Orlicz-Sobolev spaces
    Fernandez Bonder, Julian
    Salort, Ariel M.
    [J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2019, 277 (02) : 333 - 367
  • [7] On a class of generalized Choquard system in fractional Orlicz-Sobolev spaces
    El-Houari, Hamza
    Moussa, Hicham
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2024, 540 (01)
  • [8] INFINITELY MANY SOLUTIONS FOR PROBLEMS IN FRACTIONAL ORLICZ-SOBOLEV SPACES
    Bahrouni, Sabri
    [J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2020, 50 (04) : 1151 - 1173
  • [9] THREE SOLUTIONS FOR A CLASS OF NONLOCAL PROBLEMS IN ORLICZ-SOBOLEV SPACES
    Nguyen Thanh Chung
    [J]. JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2013, 50 (06) : 1257 - 1269
  • [10] Multiple solutions for a class of quasilinear problems in Orlicz-Sobolev spaces
    Ait-Mahiout, Karima
    Alves, Claudianor O.
    [J]. ASYMPTOTIC ANALYSIS, 2017, 104 (1-2) : 49 - 66
12345