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： 30        Net amount： 29 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