25 citations · 52 across the 10 of their papers we have counts for
4 papers · 2 filters
Compactness, existence and multiplicity for the singular mean field problem with sign-changing potentials
Francesca De Marchis, Rafael López-Soriano, David Ruiz
In this paper we consider a mean field problem on a compact surface with conical singularities. This problem appears in the Gaussian curvature prescription problem in Geometry, and…
Existence of stationary turbulent flows with variable positive vortex intensity
Francesca De Marchis, Tonia Ricciardi
We prove the existence of stationary turbulent flows with arbitrary positive vortex circulation on non simply connected domains. Our construction yields solutions for all real valu…
Asymptotic profile of positive solutions of Lane-Emden problems in dimension two
Francesca De Marchis, Isabella Ianni, Filomena Pacella
We consider families of solutions to the problem \begin{equation}\label{problemAbstract} \left\{\begin{array}{lr}-Δu= u^p & \mbox{ in }Ω\\ u>0 & \mbox{ in }Ω\\ u=0 & \mbox{ o…
A Morse index formula for radial solutions of Lane-Emden problems
Francesca De Marchis, Isabella Ianni, Filomena Pacella
We consider the semilinear Lane-Emden problem: \begin{equation}\label{problemAbstract}\left\{\begin{array}{lr}-Δu= |u|^{p-1}u\qquad \mbox{ in }B u=0\qquad\qquad\qquad\mbox{ on }\pa…