4 papers
Non-degeneracy of the bubble in a fractional and singular 1D Liouville equation
Azahara DelaTorre, Gabriele Mancini, Angela Pistoia +1
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 transformat…
A blow-up approach for a priori bounds in semilinear planar elliptic systems: the Brezis-Merle critical case
Laura Baldelli, Gabriele Mancini, Giulio Romani
We establish uniform a priori estimates for solutions of semilinear planar Hamiltonian elliptic systems in a ball with Dirichlet boundary conditions. We consider a broad class of c…
Existence of positive solutions for a class of almost critical problems on an annulus
Gabriele Mancini, Giuseppe Mario Rago, Giusi Vaira
In this paper we will consider multi-peaks positive solutions for a class of slightly subcritical or slightly supercritical elliptic problems on an annulus with Dirichlet boundary…
A note on the first Steklov eigenvalue on planar domains
Azahara DelaTorre, Gabriele Mancini, Angela Pistoia +1
We consider the first positive Steklov eigenvalue on planar domains. First, we provide an example of a planar domain for which a first eigenfunction has a closed nodal line. Second…