The uniqueness of a nonlinear diffusion equation related to the p-Laplacian

被引：7
|
作者：
Zhan, Huashui [1 ]
机构：
[1] Xiamen Univ Technol, Sch Appl Math, Xiamen 361024, Peoples R China
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2018年
关键词：
p-Laplacian; diffusion coefficient; boundary value condition; uniqueness;
D O I：
10.1186/s13660-017-1596-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Consider a nonlinear diffusion equation related to the p-Laplacian. Different from the usual evolutionary p-Laplacian equation, the equation is degenerate on the boundary due to the fact that the diffusion coefficient is dependent on the distance function. Not only the existence of the weak solution is established, but also the uniqueness of the weak solution is proved.
引用
收藏
页数：14
相关论文
共 50 条
  • [21] Existence and uniqueness criteria for nonlinear quantum difference equations with p-Laplacian
    Yu, Changlong
    Li, Jing
    Wang, Jufang
    AIMS MATHEMATICS, 2022, 7 (06): : 10439 - 10453
  • [22] MAXIMIZATION AND MINIMIZATION PROBLEMS RELATED TO AN EQUATION WITH THE p-LAPLACIAN
    Amiri, N.
    Zivari-Rezapour, M.
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2020, 51 (02): : 777 - 788
  • [23] Eigenproblem for p-Laplacian and Nonlinear Elliptic Equation with Nonlinear Boundary Conditions
    Berrajaa MOHAMMED
    Chakrone OMAR
    Diyer FATIHA
    Diyer OKACHA
    ActaMathematicaSinica, 2015, 31 (04) : 659 - 674
  • [24] Eigenproblem for p-Laplacian and Nonlinear Elliptic Equation with Nonlinear Boundary Conditions
    Berrajaa MOHAMMED
    Chakrone OMAR
    Diyer FATIHA
    Diyer OKACHA
    Acta Mathematica Sinica,English Series, 2015, (04) : 659 - 674
  • [25] Eigenproblem for p-Laplacian and nonlinear elliptic equation with nonlinear boundary conditions
    Berrajaa Mohammed
    Chakrone Omar
    Diyer Fatiha
    Diyer Okacha
    Acta Mathematica Sinica, English Series, 2015, 31 : 659 - 674
  • [26] Eigenproblem for p-Laplacian and nonlinear elliptic equation with nonlinear boundary conditions
    Mohammed, Berrajaa
    Omar, Chakrone
    Fatiha, Diyer
    Okacha, Diyer
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2015, 31 (04) : 659 - 674
  • [27] Solution to nonlinear parabolic equations related to P-Laplacian
    Zhan, Huashui
    CHINESE ANNALS OF MATHEMATICS SERIES B, 2012, 33 (05) : 767 - 782
  • [28] Solution to Nonlinear Parabolic Equations Related to P-Laplacian
    Huashui ZHAN 1 1 School of Sciences
    Chinese Annals of Mathematics(Series B), 2012, 33 (05) : 767 - 782
  • [29] Solution to nonlinear parabolic equations related to P-Laplacian
    Huashui Zhan
    Chinese Annals of Mathematics, Series B, 2012, 33 : 767 - 782
  • [30] On the extinction problem for a p-Laplacian equation with a nonlinear gradient source
    Liu, Dengming
    Yu, Miaojun
    OPEN MATHEMATICS, 2021, 19 (01): : 1069 - 1080
12345