Abstract
In this paper, we prove gradient estimates for the positive solutions of \(\cal{L}u=0\) and \(\cal{L}u = {{\partial u} \over {\partial t}}\) on conformal solitons, where \(\cal{L}\left( \cdot \right) = \Delta \left( \cdot \right) + \left\langle {X,\nabla \left( \cdot \right)} \right\rangle\). We also give some applications for them.
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The second author was supported by the National Natural Science Foundation of China (Grant No. 12071352)
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Li, X., Sun, J. Gradient Estimate for the Positive Solutions of \(\cal{L}u=0\) and \(\cal{L}u = {{\partial u} \over {\partial t}}\) on Conformal Solitons. Acta. Math. Sin.-English Ser. 37, 1768–1782 (2021). https://doi.org/10.1007/s10114-021-0162-7
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DOI: https://doi.org/10.1007/s10114-021-0162-7