Periodic Solutions to Parabolic Equation with Singular p-Laplacian

被引:1
|
作者
Alaoui, Abdelilah Lamrani [1 ]
El Hachimi, Abderrahmane [2 ]
机构
[1] Ctr Pedag Reg, Dept Math, Fes 30000, Morocco
[2] Univ Mohammed 5, Fac Sci, Dept Math, Rabat, Morocco
来源
关键词
Nonlinear parabolic equations; p-Laplacian; Pseudo-monotony; Nemytskii operators; Periodic solutions;
D O I
10.1007/s13369-011-0140-y
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
This paper is concerned with the existence of time periodic solutions for parabolic equations associated with the singular p-Laplacian. The results are obtained by using pseudo-monotony, fixed point arguments, and an epsilon version of a standard inequality.
引用
收藏
页码:1535 / 1548
页数:14
相关论文
共 50 条
  • [1] Periodic Solutions to Parabolic Equation with Singular p-Laplacian
    Abdelilah Lamrani Alaoui
    Abderrahmane El Hachimi
    [J]. Arabian Journal for Science and Engineering, 2011, 36 : 1535 - 1548
  • [2] Bounded solutions to a quasilinear and singular parabolic equation with p-Laplacian
    Bougherara, B.
    Giacomoni, J.
    Takac, P.
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2015, 119 : 254 - 274
  • [3] Singular solutions of parabolic p-Laplacian with absorption
    Chen, Xinfu
    Qi, Yuanwei
    Wang, Mingxin
    [J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2007, 359 (11) : 5653 - 5668
  • [4] On a singular parabolic p-Laplacian equation with logarithmic nonlinearity
    Wu, Xiulan
    Zhao, Yanxin
    Yang, Xiaoxin
    [J]. COMMUNICATIONS IN ANALYSIS AND MECHANICS, 2024, 16 (03): : 528 - 553
  • [5] SOLUTIONS FOR SINGULAR p-LAPLACIAN EQUATION IN Rn
    Liu, Xiangqing
    Guo, Yuxia
    Liu, Jiaquan
    [J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2009, 22 (04) : 597 - 613
  • [6] SINGULAR SOLUTIONS FOR THE DIFFERENTIAL EQUATION WITH p-LAPLACIAN
    Bartusek, Miroslav
    [J]. ARCHIVUM MATHEMATICUM, 2005, 41 (01): : 123 - 128
  • [7] Singular limit of solutions of the p-Laplacian equation
    Yi, Q
    Zhao, JN
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 43 (06) : 733 - 741
  • [8] Solutions for singular p-Laplacian equation in Rn
    Xiangqing Liu
    Yuxia Guo
    Jiaquan Liu
    [J]. Journal of Systems Science and Complexity, 2009, 22 : 597 - 613
  • [9] Periodic solutions for a generalized p-Laplacian equation
    Yang, Xiaojing
    Kim, Yong-In
    Lo, Kueiming
    [J]. APPLIED MATHEMATICS LETTERS, 2012, 25 (03) : 586 - 589
  • [10] SINGULAR PERIODIC SOLUTIONS FOR THE p-LAPLACIAN IN A PUNCTURED DOMAIN
    Ji, Shanming
    Li, Yutian
    Huang, Rui
    Yin, Jingxue
    [J]. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2017, 16 (02) : 373 - 392