In this short note, we consider gradient estimates for positive solutions tothe following nonlinear elliptic equation on a complete Riemannian manifold:$$\Delta u+cu^{\alpha}=0,$$ where $c, \alpha$ are two real constants and $c\neq0$.
展开▼
机译:在此简短说明中,我们考虑在完整的黎曼流形上,以下非线性椭圆方程的正解的梯度估计:$$ \ Delta u + cu ^ {\ alpha} = 0,$$其中$ c,\ alpha $是两个实数常数和$ c \ neq0 $。
展开▼