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

Citation:

Liang ZHAO,Ming SHEN.Gradient Estimates for p-Laplacian Lichnerowicz Equation on Noncompact Metric Measure Space[J].Chinese Annals of Mathematics B,2020,41(3):397~406
Page view: 109        Net amount: 111

Authors:

Liang ZHAO; Ming SHEN

Foundation:

This work was supported by the National Natural Science Foundation of China (No.11701277), the China Postdoctoral Science Foundation (No.2018M630550) and the Fundamental Research Funds for the Central Universities (No.NS2017048).
Abstract: In this paper, the authors obtain the gradient estimates for positive solutions to the weighted $p$-Laplacian Lichnerowicz equation $$ \triangle_{p,f} u+cu^{\sigma}=0 $$ on noncompact smooth metric measure space, where $c$ is a nonnegative constant, and $p,\ \sigma\ (1

Keywords:

$p$-Laplacian, Positive solutions, Liouville theorem

Classification:

58J05, 58J35
Download PDF Full-Text

Organizer:The Ministry of Education of China Sponsor:Fudan University Address:220 Handan Road, Fudan University, Shanghai, China E-mail:edcam@fudan.edu.cn
Designed by Beijing E-Tiller Co.,Ltd.