44 citations · 218 across the 75 of their papers we have counts for
10 papers · 1 filter
Segregated solutions for nonlinear Schrödinger systems with a large number of components
Haixia Chen, Angela Pistoia
In this paper we are concerned with the existence of segregated non-radial solutions for nonlinear Schrödinger systems with a large number of components in a weak fully attractive…
Non-degeneracy of critical points of the squared norm of the second fundamental form on manifolds with minimal boundary
Sergio Cruz-Blázquez, Angela Pistoia
Let be a compact Riemannian manifold with minimal boundary such that the second fundamental form is nowhere vanishing on . We show that for a generic Riema…
Clustering phenomena in low dimensions for a boundary Yamabe problem
Sergio Cruz-Blázquez, Angela Pistoia, Giusi Vaira
We consider the classical geometric problem of prescribing the scalar and boundary mean curvatures via conformal deformation of the metric on a dimensional compact Riemannian m…
Non-uniqueness for the nonlocal Liouville equation in and applications
Luca Battaglia, Matteo Cozzi, Antonio J. Fernández +1
We construct multiple solutions to the nonlocal Liouville equation \begin{equation} \label{eqk} \tag{L} (-Δ)^{\frac{1}{2}} u = K(x) e^u \quad \mbox{ in } \mathbb{R}. \end{equation}…
Existence of solutions on the critical hyperbola for a pure Lane-Emden system with Neumann boundary conditions
Angela Pistoia, Delia Schiera, Hugo Tavares
We study the following Lane-Emden system \[ -Δu=|v|^{q-1}v \quad \text{ in } Ω, \qquad -Δv=|u|^{p-1}u \quad \text{ in } Ω, \qquad u_ν=v_ν=0 \quad \text{ on } \partial Ω, \] with $Ω…
Existence of solutions to a slightly supercritical pure Neumann problem
Angela Pistoia, Alberto Saldaña, Hugo Tavares
We show the existence and multiplicity of concentrating solutions to a pure Neumann slightly supercritical problem in a ball. This is the first existence result for this kind of pr…