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Some properties of positive radial solutions for some semilinear elliptic equations

Some properties of positive radial solutions for some semilinear elliptic equations

We are interested in the singular elliptic equation <p align="center"> $ \Delta h = \frac{1}{\alpha } h^{ -\alpha }-p(r)$ in $R^N( N\geq3 ),$ <p align="left" class="times"> where $ \alpha >1$ and the monotone decreasing function $p(r)$ satisfying $\lim_{r\rightarrow \infty}p(r)=c>0.$ In this paper we show that for any $ \eta >0 …