Asymptotic profile of positive solutions of Lane-Emden problems in dimension two

Francesca De Marchis, Isabella Ianni, Filomena Pacella

We consider families $u_p$ of solutions to the problem \begin{equation}\label{problemAbstract} \left\{\begin{array}{lr}-Δu= u^p & \mbox{ in }Ω\\ u>0 & \mbox{ in }Ω\\ u=0 & \mbox{ o…