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

页码：397 / 406

页数：10

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