WEAK SOLUTIONS FOR A VISCOUS p-LAPLACIAN EQUATION

被引:0
|
作者
Liu, Changchun [1 ,2 ]
机构
[1] Nanjing Normal Univ, Dept Math, Nanjing 210097, Jiangsu, Peoples R China
[2] Jilin Univ, Dept Math, Changchun 130012, Peoples R China
关键词
Pseudo-parabolic equations; existence; uniqueness;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we consider the pseudo-parabolic equation u(t) - K Delta u(t) = div(vertical bar del u vertical bar(p-2)del u). By using the time-discrete method, we establish the existence of weak solutions, and also discuss the uniqueness.
引用
收藏
页数:11
相关论文
共 50 条
  • [41] Monotonicity and symmetry of positive solutions to fractional p-Laplacian equation
    Dai, Wei
    Liu, Zhao
    Wang, Pengyan
    COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2022, 24 (06)
  • [42] AN INVERSE PROBLEM FOR THE PSEUDO-PARABOLIC EQUATION WITH P-LAPLACIAN
    Antontsev, Stanislav Nikolaevich
    Aitzhanov, Serik Ersultanovich
    Ashurova, Guzel Rashitkhuzhakyzy
    EVOLUTION EQUATIONS AND CONTROL THEORY, 2022, 11 (02): : 399 - 414
  • [43] Asymptotic Behaviour of Solutions for p-Laplacian Wave Equation with m-Laplacian Dissipation
    Mokeddem, Soufiane
    Mansour, Khaled Ben Walid
    ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2014, 33 (03): : 259 - 269
  • [44] Infinitely many solutions via critical points for a fractional p-Laplacian equation with perturbations
    Zhang, Keyu
    O'Regan, Donal
    Xu, Jiafa
    Fu, Zhengqing
    ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (1)
  • [45] Positive solutions for a boundary value problem of fractional differential equation with p-Laplacian operator
    Tian, Yuansheng
    Bai, Zhanbing
    Sun, Sujing
    ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (01)
  • [46] Multiple normalized solutions to critical Choquard equation involving fractional p-Laplacian in RN
    Zhang, Xin
    Nguyen, Thin Van
    Liang, Sihua
    ANALYSIS AND MATHEMATICAL PHYSICS, 2025, 15 (01)
  • [47] Asymptotic Behavior of Positive Solutions of a Nonlinear Combined p-Laplacian Equation
    Maagli, Habib
    Chemmam, Rym
    Ben Othman, Sonia
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2014, 11 (03) : 857 - 872
  • [48] EXISTENCE OF SOLUTIONS TO AN EVOLUTION p-LAPLACIAN EQUATION WITH A NONLINEAR GRADIENT TERM
    Zhan, Huashui
    Feng, Zhaosheng
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2017,
  • [49] Existence and Nonexistence of Positive Solutions to a Singular p-Laplacian Differential Equation
    Yu Ying ZHOU School of Basic Science
    Journal of Mathematical Research with Applications, 2010, (04) : 643 - 652
  • [50] Mathematical behavior of solutions for a logarithmic p-Laplacian equation with distributed delay
    Piskin, Erhan
    Yuksekkaya, Hazal
    ADVANCED STUDIES-EURO-TBILISI MATHEMATICAL JOURNAL, 2022, : 35 - 51