On a p(x)-Kirchhoff-type Equation with Singular and Superlinear Nonlinearities

被引：1
|
作者：
Avci, Mustafa [1 ]
机构：
[1] Athabasca Univ, Fac Sci & Technol, Appl Math, 1 Univ Dr, Athabasca, AB T9S 3A3, Canada
来源：
DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS | 2024年
基金：
芬兰科学院;
关键词：
p(x)-Kirchhoff equation; Ekeland's variational principle; Constrained minimization; Strong Singularity; Superlinear nonlinearity; BOUNDARY-VALUE PROBLEM; POSITIVE SOLUTIONS; VARIABLE EXPONENT; ELLIPTIC PROBLEMS; MULTIPLICITY; EXISTENCE; SPACES;
D O I：
10.1007/s12591-024-00702-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present paper, we study a p(x)-Kirchhoff-type equation with combined effects of variable singular and superlinear nonlinearities. Using the Ekeland's variational principle and a constrained minimization approach, we show the existence and uniqueness of a posi-tive solution for the case variable singularity beta(x) assumes its values in the interval (1,infinity) , i.e., the case where beta(x) causes a strong singularity.
引用
收藏
页数：23
相关论文
共 50 条
  • [11] Fractional Kirchhoff-type equation with singular potential and critical exponent
    Liu, Senli
    Chen, Haibo
    JOURNAL OF MATHEMATICAL PHYSICS, 2021, 62 (11)
  • [12] Qualitative analysis of solutions for a Kirchhoff-type parabolic equation with multiple nonlinearities
    Piskin, Erhan
    Ekinci, Fatma
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2021, 50 (02): : 397 - 413
  • [13] Existence results for a Kirchhoff-type equation involving fractional p(x)-Laplacian
    Zhang, Jinguo
    Yang, Dengyun
    Wu, Yadong
    AIMS MATHEMATICS, 2021, 6 (08): : 8390 - 8403
  • [14] ON A CLASS OF p(x,<middle dot>)-INTEGRODIFFERENTIAL KIRCHHOFF-TYPE PROBLEM WITH SINGULAR KERNEL
    Agarwal, R. P.
    Azroul, E.
    Kamali, N.
    Shimi, M.
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2025, 15 (01): : 333 - 353
  • [15] On the p(X)-Kirchhoff-Type Equation Involving the p(X)-Biharmonic Operator via the Genus Theory
    S. Taarabti
    Z. El Allali
    K. Ben Haddouch
    Ukrainian Mathematical Journal, 2020, 72 : 978 - 989
  • [16] INFINITELY MANY SOLUTIONS FOR A QUASILINEAR KIRCHHOFF-TYPE EQUATION WITH HARTREE-TYPE NONLINEARITIES
    Zhu, Chuanxi
    Zhou, Li
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2022, 12 (05): : 1987 - 1996
  • [17] ON THE p(x)-KIRCHHOFF-TYPE EQUATION INVOLVING THE p(x)-BIHARMONIC OPERATOR VIA THE GENUS THEORY
    Taarabti, S.
    El Allali, Z.
    Haddouch, K. Ben
    UKRAINIAN MATHEMATICAL JOURNAL, 2020, 72 (06) : 978 - 989
  • [18] MULTIPLE SOLUTIONS OF A p-KIRCHHOFF EQUATION WITH SINGULAR AND CRITICAL NONLINEARITIES
    Li, Qin
    Yang, Zuodong
    Feng, Zhaosheng
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2017,
  • [19] Superlinear Kirchhoff-type problems of the fractional p-Laplacian without the (AR) condition
    Zuo, Jiabin
    An, Tianqing
    Li, Mingwei
    BOUNDARY VALUE PROBLEMS, 2018,
  • [20] Superlinear Kirchhoff-type problems of the fractional p-Laplacian without the (AR) condition
    Jiabin Zuo
    Tianqing An
    Mingwei Li
    Boundary Value Problems, 2018
12345