An Existence Result for a Fractional Critical (p, q)-Laplacian Problem with Discontinuous Nonlinearity

被引：0
|
作者：
Vincenzo Ambrosio
Daniela Di Donato
机构：
[1] Università Politecnica delle Marche,Dipartimento di Ingegneria Industriale e Scienze Matematiche
来源：
Mediterranean Journal of Mathematics | 2023年 / 20卷
关键词：
Fractional nonlocal operators; discontinuous nonlinearity; critical exponent; 35R11; 49J52; 35J92; 35B09; 35B33;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we establish the existence of a nonnegative nontrivial weak solution for a fractional critical (p, q)-Laplacian problem with discontinuous nonlinearity. The approach is based on suitable variational methods.
引用
收藏
相关论文
共 50 条
  • [31] Existence Result for a Double Phase Problem Involving the (p(x), q(x))-Laplacian Operator
    Ouaarabi, Mohamed El
    Allalou, Chakir
    Melliani, Said
    MATHEMATICA SLOVACA, 2023, 73 (04) : 969 - 982
  • [32] Existence and multiplicity of positive solutions for a critical fractional Laplacian equation with singular nonlinearity
    Echarghaoui, Rachid
    Khouakhi, Moussa
    Masmodi, Mohamed
    FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2024, 27 (02) : 772 - 798
  • [33] EXISTENCE RESULTS FOR NONLINEAR SCHRODINGER EQUATIONS INVOLVING THE FRACTIONAL (p, q)-LAPLACIAN AND CRITICAL NONLINEARITIES
    Lv, Huilin
    Zheng, Shenzhou
    Feng, Zhaosheng
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 2021 (100)
  • [34] Existence and multiplicity of positive solutions for a critical fractional Laplacian equation with singular nonlinearity
    Rachid Echarghaoui
    Moussa Khouakhi
    Mohamed Masmodi
    Fractional Calculus and Applied Analysis, 2024, 27 : 772 - 798
  • [35] On a non-existence result involving the fractional p-Laplacian
    Louis-Rose, Carole
    Velin, Jean
    RIVISTA DI MATEMATICA DELLA UNIVERSITA DI PARMA, 2015, 6 (02): : 345 - 355
  • [36] On a fractional (p,q)-Laplacian equation with critical nonlinearities
    Shen, Yansheng
    COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2024,
  • [37] On a Fractional p&q Laplacian Problem with Critical Sobolev-Hardy Exponents
    Ambrosio, Vincenzo
    Isernia, Teresa
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2018, 15 (06)
  • [38] Existence Result for Nonlocal Boundary Value Problem of Fractional Order at Resonance with p-Laplacian Operator
    Azouzi, M.
    Guedda, L.
    AZERBAIJAN JOURNAL OF MATHEMATICS, 2023, 13 (01): : 14 - 33
  • [39] EXISTENCE OF POSITIVE SOLUTION FOR KIRCHHOFF TYPE PROBLEM WITH CRITICAL DISCONTINUOUS NONLINEARITY
    Figueiredo, Giovany M.
    dos Santos, Gelson G.
    ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 2019, 44 : 987 - 1002
  • [40] Eigenvalue for a problem involving the fractional (p, q)-Laplacian operator and nonlinearity with a singular and a supercritical Sobolev growth
    A. L. A. de Araujo
    A. H. S. Medeiros
    Analysis and Mathematical Physics, 2024, 14
12345