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arXiv · 1710.09519

Gradient estimates for a nonlinear elliptic equation on complete Riemannian manifolds

Bingqing Ma·Guangyue Huang·Yong Luo
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Abstract

In this short note, we consider gradient estimates for positive solutions to the following nonlinear elliptic equation on a complete Riemannian manifold: $$\Delta u+cu^{\alpha}=0,$$ where $c, \alpha$ are two real constants and $c\neq 0$.

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Bingqing Ma, Guangyue Huang, Yong Luo. 2017-10-26. Gradient estimates for a nonlinear elliptic equation on complete Riemannian manifolds. https://arxiv.org/abs/1710.09519

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