Abstract
Let \((M, J, \theta )\) be a complete noncompact pseudohermitian manifold which satisfies the CR sub-Laplacian comparison property. We obtain subgradient estimates for positive solutions to the following nonlinear equation:
where \(c,\alpha \) are two real constants and \(\alpha > -1\). We extend the results of Chang et al. (J Geom Anal 29:1676–1705, 2019).
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This work is Supported in part by the NNSF of China (Nos. 11871275, 11671193) and the Doctoral Program of Anhui Normal University (751841)
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He, G., Zhao, P. Subgradient Estimates for the Equation \(\Delta _bu+cu^{-\alpha }=0\) on Complete Pseudohermitian Manifolds. J Geom Anal 32, 132 (2022). https://doi.org/10.1007/s12220-021-00863-2
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DOI: https://doi.org/10.1007/s12220-021-00863-2