44 citations · 218 across the 75 of their papers we have counts for
6 papers · 1 filter
Positive solutions of elliptic systems with superlinear terms on the critical hyperbola
Mabel Cuesta, Rosa Pardo, Angela Pistoia
We consider a slightly subcritical elliptic system with Dirichlet boundary conditions and a non-power nonlinearity in a bounded smooth domain. For this problem, standard compact em…
Partially concentrating standing waves for weakly coupled Schrödinger systems
Benedetta Pellacci, Angela Pistoia, Giusi Vaira +1
We study the existence of standing waves for the following weakly coupled system of two Schrödinger equations in , , \[ \begin{cases} i \hslash \partial_{t}ψ_{…
The Brezis-Nirenberg problem in 4D
Angela Pistoia, Serena Rocci
The problem \begin{equation} \label{bn} -Δu=|u|^{4\over n-2}u+λV u\ \hbox{in}\ Ω,\ u=0\ \hbox{on}\ \partialΩ \end{equation} where is a bounded regular domain in ,…
Prescribing nearly constant curvatures on balls
Luca Battaglia, Sergio Cruz-Blázquez, Angela Pistoia
In this paper we address two boundary cases of the classical Kazdan-Warner problem. More precisely, we consider the problem of prescribing the Gaussian and boundary geodesic curvat…
Generic properties of eigenvalues of the fractional Laplacian
Mouhamed Moustapha Fall, Marco Ghimenti, Anna Maria Micheletti +1
We consider the Dirichlet eigenvalues of the fractional Laplacian , with , related to a smooth bounded domain . We prove that there exists an arbitrarily sma…
Pinwheel solutions to Schrödinger systems
Mónica Clapp, Angela Pistoia
We establish the existence of positive segregated solutions for competitive nonlinear Schrödinger systems in the presence of an external trapping potential, which have the property…