جزییات کتاب
In this paper, the author considers semilinear elliptic equations of the form $-Delta u- frac{lambda}{|x|^2}u +b(x),h(u)=0$ in $Omegasetminus{0}$, where $lambda$ is a parameter with $-infty0$. The author completely classifies the behaviour near zero of all positive solutions of equation (0.1) when $h$ is regularly varying at $infty$ with index $q$ greater than $1$ (that is, $lim_{t o infty} h(xi t)/h(t)=xi^q$ for every $xi>0$). In particular, the author's results apply to equation (0.1) with $h(t)=t^q (log t)^{alpha_1}$ as $t o infty$ and $b(x)=|x|^ heta (-log |x|)^{alpha_2}$ as $|x| o 0$, where $alpha_1$ and $alpha_2$ are any real numbers