Existence and asymptotic behavior of non-normal conformal metrics on ${\mathbb{R}}^4$ with sign-changing $Q$-curvature

Chiara Bernardini

We consider the following prescribed $Q$-curvature problem \begin{equation}\label{uno} \begin{cases} Δ^2 u=(1-|x|^p)e^{4u}, \quad\text{on}\,\,\mathbb{R}^4\\ Λ:=\int_{\mathbb{R}^4}(…