Gradient Estimates for p-Laplacian Lichnerowicz Equation on Noncompact Metric Measure Space

被引:3
|
作者
Zhao, Liang [1 ]
Shen, Ming [2 ]
机构
[1] Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 210016, Peoples R China
[2] Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350116, Peoples R China
基金
中国博士后科学基金; 中国国家自然科学基金;
关键词
p-Laplacian; Positive solutions; Liouville theorem;
D O I
10.1007/s11401-020-0206-9
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, the authors obtain the gradient estimates for positive solutions to the weighted p-Laplacian Lichnerowicz equation Delta p,fu+cu sigma=0 = 0$$\end{document} on noncompact smooth metric measure space, where c is a nonnegative constant, and p, sigma (1 < p <= 2, sigma <= p - 1) are real constants. Moreover, by the gradient estimate, they can get the corresponding Liouville theorem and Harnack inequality.
引用
收藏
页码:397 / 406
页数:10
相关论文
共 50 条
  • [21] Gradient Estimates and CDpψ (m, K) Curvature for the p-Laplacian on Weighted Graphs
    Liu, Yongtao
    FRONTIERS OF MATHEMATICS, 2025, 20 (02): : 433 - 454
  • [22] Bounds for eigenfunctions of the Neumann p-Laplacian on noncompact Riemannian manifolds
    Barletta, Giuseppina
    Cianchi, Andrea
    Maz'ya, Vladimir
    ADVANCES IN CALCULUS OF VARIATIONS, 2024, 17 (02) : 319 - 352
  • [23] Extinction and Decay Estimates of Solutions for a p-Laplacian Parabolic Equation with Nonlinear Source
    Cui, Zhoujin
    Yang, Zuodong
    BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2013, 20 (05) : 881 - 894
  • [24] On the logistic equation for the fractional p-Laplacian
    Iannizzotto, Antonio
    Mosconi, Sunra
    Papageorgiou, Nikolaos S. S.
    MATHEMATISCHE NACHRICHTEN, 2023, 296 (04) : 1451 - 1468
  • [26] Weak solutions for p-Laplacian equation
    Bhuvaneswari, Venkatasubramaniam
    Lingeshwaran, Shangerganesh
    Balachandran, Krishnan
    ADVANCES IN NONLINEAR ANALYSIS, 2012, 1 (04) : 319 - 334
  • [27] On a parabolic equation related to the p-Laplacian
    Zhan, Huashui
    BOUNDARY VALUE PROBLEMS, 2016,
  • [28] On a Singular Logistic Equation with the p-Laplacian
    Hai, Dang Dinh
    ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2013, 32 (03): : 339 - 348
  • [29] Eigenvalue problem for a p-Laplacian equation with trapping potentials
    Gu, Long-Jiang
    Zeng, Xiaoyu
    Zhou, Huan-Song
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2017, 148 : 212 - 227
  • [30] Pointwise A Priori Estimates for Solutions to Some p-Laplacian Equations
    Sun, Xiao Qiang
    Bao, Ji Guang
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2022, 38 (12) : 2150 - 2162