Gradient Estimates for p-Laplacian Lichnerowicz Equation on Noncompact Metric Measure Space |
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| Authors: | Liang ZHAO and Ming SHEN |
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| Affiliation: | Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China. and College of Mathematics and Computer Science, Fuzhou University, Fuzhou 350116, China. |
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| Abstract: | In this paper, the authors obtain the gradient estimates forpositive solutions to the weighted $p$-Laplacian Lichnerowiczequation$$triangle_{p,f} u+cu^{sigma}=0$$on noncompact smooth metric measure space, where $c$ is anonnegative constant, and $p, sigma (1
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| Keywords: | $p$-Laplacian Positive solutions Liouville theorem |
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