Answering a question by M. Struwe [26] related to the blow-up behavior in the Nirenberg
problem, we show that the prescribed Q-curvature equation Δ 2 u=(1−| x| p) e 4 u in R 4 …

We consider the constant Q-curvature metric problem in a given conformal class on a conic
4-manifold and study related differential equations. We define subcritical, critical, and …

We prove uniqueness of solutions for the nonlocal Liouville equation (− Δ) 1/2 w= K ew in R
with finite total Q-curvature∫ RK ewdx<+∞. Here the prescribed Q-curvature function K= K …

For dimensions $ n\geq 3$, we classify singular solutions to the generalized Liouville
equation $(-\Delta)^{n/2} u= e^{nu} $ on $\mathbb R^ n\setminus\{0\} $ with the finite integral …

On (M, g) a compact riemannian 4-manifold we consider the prescribed Q-curvature
equation defined on M with finite singular sources. We first prove a classification theorem for …

We prove the non-degeneracy of solutions to a fractional and singular Liouville equation
defined on the whole real line in presence of a singular term. We use conformal …

On a $2 m $-dimensional closed manifold we investigate the existence of prescribed $ Q $-
curvature metrics with conical singularities. We present here a general existence and …

We study asymptotic profiles for singular solutions to a class of critical strongly coupled
fourth order systems on the punctured ball. Assuming a superharmonicity condition, we …

l= 1 β2, lδPl in 2, wi (x)=− 2 log| x|+ O (1) as| x|→∞; i= 1, 2,(0-2) with m≥ 3 and βi, l∈[0, 1).
We prove existence and nonexistence results under suitable assumptions on βi, l. This …

We study singular metrics of constant negative Q-curvature in the Euclidean space R n for
every n≥ 1. Precisely, we consider solutions to the problem (− Δ) n/2 u=− enu on R n∖{0} …