Gradient estimates for a nonlinear equation under the almost Ricci soliton condition

被引:0
|
作者
Hajiaghasi, Sakineh [1 ]
Azami, Shahroud [1 ]
机构
[1] Imam Khomeini Int Univ, Fac Sci, Dept Pure Math, Qazvin, Iran
来源
关键词
Gradient almost Ricci solitons; Gradient estimates; Almost Ricci solitons;
D O I
10.22034/cmde.2024.56129.2344
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we study the gradient estimate for the positive solutions of the equation Delta u + au (log u)(p) + bu = f on an almost Ricci soliton (M-n, g, X, lambda). In a special case, when X = del h h for a smooth function h, we derive a gradient estimate for an almost gradient Ricci soliton.
引用
收藏
页码:710 / 718
页数:9
相关论文
共 50 条
  • [31] Space-only gradient estimates of Schrödinger equation with Neumann boundary condition under integral Ricci curvature bounds
    Wang, Wen
    Xie, Dapeng
    Yang, Liu
    Zhou, Hui
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2024, 537 (02)
  • [32] GRADIENT ESTIMATES FOR A NONLINEAR ELLIPTIC EQUATION UNDER GEOMETRIC FLOW
    Ji, Zhengchao
    Zhao, Liang
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2022, 51 (05) : 1681 - 1690
  • [33] Introduction to Gradient h-almost η-Ricci Soliton on Warped Product Spaces
    Bhunia, Nandan
    Pahan, Sampa
    Bhattacharyya, Arindam
    Datta, Sanjib Kumar
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2024, 42 : 1 - 11
  • [35] Differential gradient estimates for nonlinear parabolic equations under integral Ricci curvature bounds
    Shahroud Azami
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2024, 118
  • [36] *-Ricci soliton on (κ, μ)′-almost Kenmotsu manifolds
    Dai, Xinxin
    Zhao, Yan
    De, Uday Chand
    OPEN MATHEMATICS, 2019, 17 : 874 - 882
  • [37] Almost *-Ricci Soliton on α-paraSasakian Manifold
    Sood, Kanika
    Srivastava, Khushbu
    Srivastava, Sachin Kumar
    Khan, Mohammad Nazrul Islam
    INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2024, 22
  • [38] A note on rigidity of the almost Ricci soliton
    Abdênago Barros
    José N. Gomes
    Ernani Ribeiro
    Archiv der Mathematik, 2013, 100 : 481 - 490
  • [39] Almost* -Ricci soliton on paraKenmotsu manifolds
    Venkatesha, V.
    Kumara, H. Aruna
    Naik, Devaraja Mallesha
    ARABIAN JOURNAL OF MATHEMATICS, 2020, 9 (03) : 715 - 726
  • [40] On the h-almost Ricci soliton
    Gomes, J. N.
    Wang, Qiaoling
    Xia, Changyu
    JOURNAL OF GEOMETRY AND PHYSICS, 2017, 114 : 216 - 222