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
来源：
CHINESE ANNALS OF MATHEMATICS SERIES B | 2020年 / 41卷 / 03期
基金：
中国国家自然科学基金; 中国博士后科学基金;
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.
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页码：397 / 406
页数：10
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