A Direct Method of Moving Planes to Fractional Power SubLaplace Equations on the Heisenberg Group

被引：1
|
作者：
Wang, Xin-jing [1 ,2 ]
Niu, Peng-cheng [2 ]
机构：
[1] Huanghuai Univ, Sch Math & Stat, Zhumadian 463000, Henan, Peoples R China
[2] Northwestern Polytech Univ, Dept Appl Math, Xian 710129, Peoples R China
来源：
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES | 2021年 / 37卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Heisenberg group; fractional power subLaplace equation; the direct method of moving planes; maximum principle; SEMILINEAR EQUATIONS; LIOUVILLE THEOREMS; HARNACK INEQUALITY; CLASSIFICATION; SYMMETRY;
D O I：
10.1007/s10255-021-1016-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We give the direct method of moving planes for solutions to the conformally invariant fractional power subLaplace equation on the Heisenberg group. The method is based on four maximum principles derived here. Then symmetry and nonexistence of positive cylindrical solutions are proved.
引用
收藏
页码：364 / 379
页数：16
相关论文
共 50 条
  • [41] Nonexistence results for ultra-parabolic equations and systems involving fractional Laplacian operator in Heisenberg group
    Tsegaw, Birilew Belayneh
    HELIYON, 2022, 8 (10)
  • [42] Construction of Fractional Power Series Solutions to Fractional Boussinesq Equations Using Residual Power Series Method
    Xu, Fei
    Gao, Yixian
    Yang, Xue
    Zhang, He
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2016, 2016
  • [43] Residual power series method for fractional Burger types equations
    Kumar A.
    Kumar S.
    Nonlinear Engineering, 2016, 5 (04) : 235 - 244
  • [44] UNDECIDABILITY OF THE SUBMONOID MEMBERSHIP PROBLEM FOR A SUFFICIENTLY LARGE FINITE DIRECT POWER OF THE HEISENBERG GROUP
    Roman'kov, V. A.
    SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2023, 20 (01): : 293 - 305
  • [45] A DIRECT DISCONTINUOUS GALERKIN METHOD FOR TIME FRACTIONAL DIFFUSION EQUATIONS WITH FRACTIONAL DYNAMIC BOUNDARY CONDITIONS
    Zhao, Jingjun
    Zhao, Wenjiao
    Xu, Yang
    JOURNAL OF COMPUTATIONAL MATHEMATICS, 2024, 42 (01): : 156 - 177
  • [46] Residual power series method for time-fractional Schrodinger equations
    Zhang, Yu
    Kumar, Amit
    Kumar, Sunil
    Baleanu, Dumitru
    Yang, Xiao-Jun
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (11): : 5821 - 5829
  • [47] Power Series Method for Linear Partial Differential Equations of Fractional Order
    Kurulay, Muhammet
    Bayram, Mustafa
    COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS, 2010, 1 (02): : 71 - 76
  • [48] Solving Fuzzy Fractional Differential Equations by Power Series Expansion Method
    Shahidi, M.
    Khastan, A.
    2018 6TH IRANIAN JOINT CONGRESS ON FUZZY AND INTELLIGENT SYSTEMS (CFIS), 2018, : 37 - 39
  • [49] Lie group analysis method for two classes of fractional partial differential equations
    Chen, Cheng
    Jiang, Yao-Lin
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2015, 26 (1-3) : 24 - 35
  • [50] EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR CRITICAL KIRCHHOFF-CHOQUARD EQUATIONS INVOLVING THE FRACTIONAL p-LAPLACIAN ON THE HEISENBERG GROUP
    Bai, Shujie
    Song, Yueqiang
    Repovs, Dusan D.
    JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS, 2024, 8 (01): : 143 - 166
12345