Large solutions of semilinear equations with Hardy potential

Moshe Marcus

We consider equations of the form $-L_{\mu }u+f(u)=0$ in a smooth domain $\Omega$, where $L_{\mu }=\Delta +\mu {\delta }^{-2}$ and $\delta (x)$ denotes the distance of the point $x$ to the boundary of the domain. The…