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| Gradient Estimates for p-Laplacian Lichnerowicz Equation on Noncompact Metric Measure Space |
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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： 740
Net amount： 555 |
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). |
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| 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 |
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