29 citations · 144 across the 45 of their papers we have counts for
4 papers · 2 filters
Asymptotic analysis for radial sign-changing solutions of the Brezis-Nirenberg problem in low dimensions
Alessandro Iacopetti, Filomena Pacella
We consider the classical Brezis-Nirenberg problem in the unit ball of , and analyze the asymptotic behavior of nodal radial solutions in the low dimensions…
Hénon type equations and concentration on spheres
Ederson Moreira dos Santos, Filomena Pacella
In this paper we study the concentration profile of various kind of symmetric solutions of some semilinear elliptic problems arising in astrophysics and in diffusion phenomena. Usi…
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 }…
A nonexistence result for sign-changing solutions of the Brezis-Nirenberg problem in low dimensions
Alessandro Iacopetti, Filomena Pacella
We consider the Brezis-Nirenberg problem: \begin{equation*} \begin{cases} -Δu = λu + |u|^{2^* -2}u & \hbox{in}\ Ω\\ u=0 & \hbox{on}\ \partial Ω, \end{cases} \end{equation*} where $…