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

被引：0
|
作者：
Bahrouni A. [1 ]
Bahrouni S. [1 ]
Xiang M. [2 ]
机构：
[1] Mathematics Department, Faculty of Sciences, University of Monastir, Monastir
[2] College of Science, Civil Aviation University of China, Tianjin
来源：
Nonlinear Analysis, Theory, Methods and Applications | 2020年 / 190卷
关键词：
Fractional M-Laplacian; Fractional Orlicz–Sobolev space; Nonvariational problem; Pseudomonotone operator;
D O I：
10.1016/j.na.2019.111595
中图分类号：
学科分类号：
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. © 2019 Elsevier Ltd
引用
收藏
相关论文
共 50 条
  • [41] Young measure theory for unsteady problems in Orlicz–Sobolev spaces
    Elhoussine Azroul
    Farah Balaadich
    Rendiconti del Circolo Matematico di Palermo Series 2, 2020, 69 : 1265 - 1278
  • [42] Nonhomogeneous boundary value problems in Orlicz-Sobolev spaces
    Mihailescu, Mihai
    Radulescu, Vicentiu
    COMPTES RENDUS MATHEMATIQUE, 2007, 344 (01) : 15 - 20
  • [43] On some nonlinear elliptic problems in anisotropic Orlicz–Sobolev spaces
    Rabab Elarabi
    Badr Lahmi
    Hakima Ouyahya
    Advances in Operator Theory, 2023, 8
  • [44] Optimal design problems for a degenerate operator in Orlicz–Sobolev spaces
    Jefferson Abrantes Santos
    Sergio H. Monari Soares
    Calculus of Variations and Partial Differential Equations, 2020, 59
  • [45] Asymptotic Behaviours in Fractional Orlicz-Sobolev Spaces on Carnot Groups
    Capolli, M.
    Maione, A.
    Salort, A. M.
    Vecchi, E.
    JOURNAL OF GEOMETRIC ANALYSIS, 2021, 31 (03) : 3196 - 3229
  • [46] Inhomogeneous torsional creep problems in anisotropic Orlicz Sobolev spaces
    Mihailescu, Mihai
    Perez-Llanos, Mayte
    JOURNAL OF MATHEMATICAL PHYSICS, 2018, 59 (07)
  • [47] On the Limit as s → 0+of Fractional Orlicz-Sobolev Spaces
    Alberico, Angela
    Cianchi, Andrea
    Pick, Lubos
    Slavikova, Lenka
    JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2020, 26 (06)
  • [48] Existence of solutions for a nonlocal type problem in fractional Orlicz Sobolev spaces
    Azroul, Elhoussine
    Benkirane, Abdelmoujib
    Srati, Mohammed
    ADVANCES IN OPERATOR THEORY, 2020, 5 (04) : 1350 - 1375
  • [49] Existence of solutions for a nonlocal type problem in fractional Orlicz Sobolev spaces
    Elhoussine Azroul
    Abdelmoujib Benkirane
    Mohammed Srati
    Advances in Operator Theory, 2020, 5 : 1350 - 1375
  • [50] Existence and multiplicity of solutions for a Dirichlet problem in fractional Orlicz–Sobolev spaces
    Pablo Ochoa
    Analía Silva
    Maria José Suarez Marziani
    Annali di Matematica Pura ed Applicata (1923 -), 2024, 203 : 21 - 47
12345