| 摘要: |
| 本文在Ricci曲率有下界的n维(n≥3)完备黎曼流形上，研究了一类拟线性椭圆方程
\Delta_{p_{1}, \ldots, p_{r}} v=\operatorname{div}\left(\sum_{i=1}^{r}|\nabla v|^{p_{i}-2} \nabla v\right)=0
正解的梯度估计，其中常数满足1
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guolan
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| Abstract: |
| In this paper, we derive gradient estimates of positive solutions to the following quasilinear elliptic equation
\Delta_{p_{1}, \ldots, p_{r}} v=\operatorname{div}\left(\sum_{i=1}^{r}|\nabla v|^{p_{i}-2} \nabla v\right)=0
on n-dimensional (n≥3) complete Riemannian manifolds (M, g) with a lower bound on Ricci curvature, where the constants satisfy1
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