25 citations · 52 across the 10 of their papers we have counts for
15 papers · 1 filter
Sharp boundary concentration for a two-dimensional nonlinear Neumann problem
Francesca De Marchis, Habib Fourti, Isabella Ianni
We consider the elliptic equation in a bounded, smooth domain subject to the nonlinear Neumann boundary condition $\partial u/\partialν= |u|^{p-1…
Morse index computation for radial solutions of the {Hé}non problem in the disk
Annalisa Amadori, Francesca De Marchis, Isabella Ianni
We compute the Morse index of any radial solution of the semilinear problem: \begin{equation} \label{problemaAbstract}\tag{P} \left\{ \begin{array}{lr}…
Critical points of the Moser-Trudinger functional on closed surfaces
Francesca De Marchis, Andrea Malchiodi, Luca Martinazzi +1
Given a closed Riemann surface and any positive smooth weight, we use a minmax scheme together with compactness, quantization results and with sharp energy estimates to pro…
Prescribed Gauss curvature problem on singular surfaces
Teresa D'Aprile, Francesca De Marchis, Isabella Ianni
We study the existence of at least one conformal metric of prescribed Gaussian curvature on a closed surface admitting conical singularities of orders 's at points 's…
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…
Existence and non existence results for the singular Nirenberg problem
Francesca de Marchis, Rafael López-Soriano
In this paper we study the problem, posed by Troyanov, of prescribing the Gaussian curvature under a conformal change of the metric on surfaces with conical singularities. Such geo…
Exact Morse index computation for nodal 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…
Morse index and sign changing bubble towers for 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 }Ω\\ u=0\qquad\qquad\qquad\mbox{ on }…
Blow up of solutions of semilinear heat equations in non radial domains of
Francesca De Marchis, Isabella Ianni
We consider the semilinear heat equation \begin{equation}\label{problemAbstract}\left\{\begin{array}{ll}v_t-Δv= |v|^{p-1}v & \mbox{in}Ω\times (0,T)\\ v=0 & \mbox{on}\partial Ω\time…
Asymptotic analysis and sign changing bubble towers for Lane-Emden problems
Francesca De Marchis, Isabella Ianni, Filomena Pacella
We consider the semilinear Lane-Emden problem in a smooth bounded domain of the plane. The aim of the paper is to analyze the asymptotic behavior of sign changing solutions as the…
Supercritical Mean Field Equations on convex domains and the Onsager's statistical description of two-dimensional turbulence
Daniele Bartolucci, Francesca De Marchis
We are motivated by the study of the Microcanonical Variational Principle within the Onsager's description of two-dimensional turbulence in the range of energies where the equivale…
Sign changing solutions of Lane Emden problems with interior nodal line and semilinear heat equations
Francesca De Marchis, Isabella Ianni, Filomena Pacella
We consider the semilinear Lane Emden problem in a smooth bounded simply connected domain in the plane, invariant by the action of a finite symmetry group G. We show that if the or…