On topological degree for pseudomonotone operators in fractional Orlicz-Sobolev spaces: study of positive solutions of non-local elliptic problems

被引：5
|
作者：
El-Houari, H. [1 ]
Sabiki, H. [2 ]
Moussa, H. [1 ]
机构：
[1] Fac Sci & Tech Beni Mellal, Lab Rech Math Appl & Calcul Sci, Beni Mellal, Morocco
[2] Univ Sultan Moulay Slimane, MAROC Lab Rech Math Appl Calcul Sci, Ecole Natl Commerce Gest, Beni Mellal, Morocco
来源：
ADVANCES IN OPERATOR THEORY | 2024年 / 9卷 / 02期
关键词：
Fractional Orlicz-Sobolev spaces; Topological Degree; Pseudomonotone operators; Non-local elliptic equation;
D O I：
10.1007/s43036-023-00313-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this research, we analyze the existence of infinite sequences of ordered solutions for a class of non-local elliptic problem with Dirichlet boundary condition. The primary techniques employed consist of topological degree theory for mappings of type S+ and minimization arguments in a fractional Orlicz-Sobolev space. Our main results generalize some recent findings in the literature to non-smooth cases.
引用
收藏
页数：22
相关论文
共 50 条
  • [41] Necessary and sufficient conditions for existence of blow-up solutions for elliptic problems in Orlicz-Sobolev spaces
    Santos, Carlos Alberto
    Zhou, Jiazheng
    Santos, Jefferson Abrantes
    [J]. MATHEMATISCHE NACHRICHTEN, 2018, 291 (01) : 160 - 177
  • [42] Existence and multiplicity of solutions for a class of quasilinear elliptic systems in Orlicz-Sobolev spaces
    Wang, Liben
    Zhang, Xingyong
    Fang, Hui
    [J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (07): : 3792 - 3814
  • [43] The limiting Behavior of Solutions to Inhomogeneous Eigenvalue Problems in Orlicz-Sobolev Spaces
    Bocea, Marian
    Mihailescu, Mihai
    Stancu-Dumitru, Denisa
    [J]. ADVANCED NONLINEAR STUDIES, 2014, 14 (04) : 977 - 990
  • [44] Positive solutions of quasilinear elliptic equations with critical orlicz-sobolev nonlinearity on RN
    Fukagai, Nobuyoshi
    Ito, Masayuki
    Narukawa, Kimiaki
    [J]. FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA, 2006, 49 (02): : 235 - 267
  • [45] Existence and multiplicity of solutions for a class of quasilinear problems in Orlicz-Sobolev spaces
    Ait-Mahiout, Karima
    Alves, Claudianor O.
    [J]. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2017, 62 (06) : 767 - 785
  • [46] Existence of solutions for a class of Kirchhoff type problems in Orlicz-Sobolev spaces
    Nguyen Thanh Chung
    [J]. ANNALES POLONICI MATHEMATICI, 2015, 113 (03) : 283 - 294
  • [47] Eigenvalue problems in Orlicz-Sobolev spaces for rapidly growing operators in divergence form
    Bocea, Marian
    Mihailescu, Mihai
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2014, 256 (02) : 640 - 657
  • [48] Multiple solutions in fractional Orlicz-Sobolev Spaces for a class of nonlocal Kirchhoff systems
    El-houari, Hamza
    Chadli, Lalla Saadia
    Moussa, Hicham
    [J]. FILOMAT, 2024, 38 (08) : 2857 - 2875
  • [49] Nonlinear elliptic equations by topological degree in Musielak-Orlicz-Sobolev spaces
    Hammou, Mustapha Ait
    Lahmi, Badr
    [J]. STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2023, 68 (04): : 859 - 872
  • [50] Existence of a renormalized solutions for parabolic-elliptic system in anisotropic Orlicz-Sobolev spaces
    Ahakkoud, Y.
    Bennouna, J.
    Elmassoudi, M.
    [J]. RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2024,
12345