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Gradient estimates of a nonlinear elliptic equation for the V-Laplacian on noncompact Riemannian manifolds

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成果类型:
期刊论文
作者:
Deng, Yihua
通讯作者:
Deng, YH
作者机构:
[Deng, Yihua] Hengyang Normal Univ, Coll Math & Stat, Hengyang, Hunan, Peoples R China.
通讯机构:
[Deng, YH ] H
Hengyang Normal Univ, Coll Math & Stat, Hengyang, Hunan, Peoples R China.
语种:
英文
关键词:
Gradient estimates;V-Laplacian;Riemannian manifolds;Bakry- mery Ricci curvature
期刊:
TURKISH JOURNAL OF MATHEMATICS
ISSN:
1300-0098
年:
2022
卷:
46
期:
4
页码:
1294-1301
基金类别:
Special Project of Discipline for Hengyang Normal University [XKZX21002, KYZX21003]; Application-oriented Special Disciplines, Double First-Class University Project of Hunan Province [Xiangjiaotong[2018]469]; Science and Technology Innovation Program of Hunan Province [2016TP1020]
机构署名:
本校为第一且通讯机构
院系归属:
数学与统计学院
摘要:
In this paper, we consider gradient estimates for positive solutions to the following equation Delta vu + au(p) log u = 0 on complete noncompact Riemannian manifold with k-dimensional Bakry- mery Ricci curvature bounded from below. Using the Bochner formula and the Cauchy inequality, we obtain upper bounds of vertical bar del u vertical bar with respect to t...

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