Qualitative Analysis for a Degenerate Kirchhoff-Type Diffusion Equation Involving the Fractional p-Laplacian

被引：0
|
作者：
Guangyu Xu
Jun Zhou
机构：
[1] Zhejiang Normal University,College of Mathematics and Computer Science
[2] Southwest University,School of Mathematics and Statistics
来源：
Applied Mathematics & Optimization | 2021年 / 84卷
关键词：
Degenerate Kirchhoff-type diffusion equation; Fractional ; -Laplacian; Vacuum isolating phenomena; Global existence; Extinction; Exponentially decay; Exponentially growth; Blow-up; 35B40; 35K55; 35K57; 35K61;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper is devoted to study an anomalous diffusion model of Kirchhoff type driven by a nonlocal integro-differential operator. The properties of solutions, such as vacuum isolating phenomena, global existence, extinction, exponentially decay, exponentially growth, and finite time blow-up were studied by potential well method and energy estimate method. The results of this paper extend and complete the recent studies on this model.
引用
收藏
页码：465 / 508
页数：43
相关论文
共 50 条
  • [1] Qualitative Analysis for a Degenerate Kirchhoff-Type Diffusion Equation Involving the Fractional p-Laplacian
    Xu, Guangyu
    Zhou, Jun
    [J]. APPLIED MATHEMATICS AND OPTIMIZATION, 2021, 84 (SUPPL 1): : S465 - S508
  • [2] Degenerate Kirchhoff-type diffusion problems involving the fractional p-Laplacian
    Pan, Ning
    Zhang, Binlin
    Cao, Jun
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2017, 37 : 56 - 70
  • [3] BLOWUP OF SOLUTIONS TO DEGENERATE KIRCHHOFF-TYPE DIFFUSION PROBLEMS INVOLVING THE FRACTIONAL p-LAPLACIAN
    Yang, Yanbing
    Tian, Xueteng
    Zhang, Meina
    Shen, Jihong
    [J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2018,
  • [4] Kirchhoff-type problems involving the fractional p-Laplacian on the Heisenberg group
    Jieyu Zhou
    Lifeng Guo
    Binlin Zhang
    [J]. Rendiconti del Circolo Matematico di Palermo Series 2, 2022, 71 : 1133 - 1157
  • [5] Kirchhoff-type problems involving the fractional p-Laplacian on the Heisenberg group
    Zhou, Jieyu
    Guo, Lifeng
    Zhang, Binlin
    [J]. RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2022, 71 (03) : 1133 - 1157
  • [6] Degenerate Kirchhoff-type hyperbolic problems involving the fractional Laplacian
    Pan, Ning
    Pucci, Patrizia
    Zhang, Binlin
    [J]. JOURNAL OF EVOLUTION EQUATIONS, 2018, 18 (02) : 385 - 409
  • [7] Degenerate Kirchhoff-type hyperbolic problems involving the fractional Laplacian
    Ning Pan
    Patrizia Pucci
    Binlin Zhang
    [J]. Journal of Evolution Equations, 2018, 18 : 385 - 409
  • [8] THREE SOLUTIONS FOR A KIRCHHOFF-TYPE PROBLEM INVOLVING NONLOCAL FRACTIONAL p-LAPLACIAN
    Azroul, E.
    Benkirane, A.
    Srati, M.
    [J]. ADVANCES IN OPERATOR THEORY, 2019, 4 (04): : 821 - 822
  • [9] Existence results for a Kirchhoff-type equation involving fractional p(x)-Laplacian
    Zhang, Jinguo
    Yang, Dengyun
    Wu, Yadong
    [J]. AIMS MATHEMATICS, 2021, 6 (08): : 8390 - 8403
  • [10] Multiplicity and asymptotic behavior of solutions to a class of Kirchhoff-type equations involving the fractional p-Laplacian
    Liejun Shen
    [J]. Journal of Inequalities and Applications, 2018
12345