Weak solutions of semilinear elliptic equation involving Dirac mass

Huyuan Chen, Patricio Felmer, Jianfu Yang

In this paper, we study the following elliptic problem with Dirac mass \begin{equation}\label{eq 0.1} -Δu=Vu^p+k δ_0\quad {\rm in}\quad \mathbb{R}^N, \qquad \lim_{|x|\to+\infty}u(x…