199 citations · 665 across the 32 of their papers we have counts for
4 papers · 1 filter
Concentration phenomena for the fractional -curvature equation in dimension 3 and fractional Poisson formulas
Azahara DelaTorre, Maria del Mar Gonzalez, Ali Hyder +1
We study the compactness properties of metrics of prescribed fractional -curvature of order in . We will use an approach inspired from conformal geometry, seeing a met…
The non-local mean-field equation on an interval
Azahara DelaTorre, Ali Hyder, Luca Martinazzi +1
We consider the fractional mean-field equation on the interval subject to Dirichlet boundary conditions, and prove…
Local and nonlocal singular Liouville equations in Euclidean spaces
Ali Hyder, Gabriele Mancini, Luca Martinazzi
We study metrics of constant -curvature in the Euclidean space with a prescribed singularity at the origin, namely solutions to the equation $$(-Δ)^\frac{n}{2}w=e^{nw}-cδ_{0} \t…
Gluing metrics with prescribed -curvature and different asymptotic behaviour in high dimension
Ali Hyder, Luca Martinazzi
We show a new example of blow-up behaviour for the prescribed -curvature equation in even dimension and higher, namely given a sequence s…