2 citations · 2 across the 3 of their papers we have counts for
5 papers
Sign-changing solutions for the one-dimensional non-local sinh-Poisson equation
Azahara DelaTorre, Gabriele Mancini, Angela Pistoia
We study the existence of sign-changing solutions for a non-local version of the sinh-Poisson equation on a bounded one-dimensional interval , under Dirichlet conditions in the…
Extremals for fractional Moser-Trudinger inequalities in dimension 1 via harmonic extensions and commutator estimates
Gabriele Mancini, Luca Martinazzi
We prove the existence of extremals for fractional Moser-Trudinger inequalities in an interval and on the whole real line. In both cases we use blow-up analysis for the correspondi…
Bubbling nodal solutions for a large perturbation of the Moser-Trudinger equation on planar domains
Massimo Grossi, Gabriele Mancini, Daisuke Naimen +1
In this work we study the existence of nodal solutions for the problem where is…
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 $$(-Δ)^\frac{n}{2}w=e^{nw}-cδ_{0} \t…
Glueing a peak to a non-zero limiting profile for a critical Moser-Trudinger equation
Gabriele Mancini, Pierre-Damien Thizy
Druet [6] proved that if is a sequence of Moser-Trudinger type nonlinearities with critical growth, and if solves $$ \begin{cases} &Δu =f_γ(x,u)\,,~~ u>0\text{…