Asymptotics and quantization for a mean-field equation of higher order

Luca Martinazzi, Mircea Petrache

Given a regular bounded domain $\Omega \subset \mathbb{R}2m$, we describe the limiting behavior of sequences of solutions to the mean field equation of order $2m$, $m\ge 1$, $$(-Δ)^m u=ρ\frac{…