40 citations · 52 across the 17 of their papers we have counts for
Showing 2014Show all
3 papers · 1 filter
math.AP2014
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…
math.AP2014
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 $…
math.AP2014★ 3 cited
Sign-changing tower of bubbles for the Brezis-Nirenberg problem
Alessandro Iacopetti, Giusi Vaira
In this paper, we prove that the Brezis-Nirenberg problem -Δu = |u|^{p-1}u+εu in Ω; u=0 on \partial Ωwhere Ωis a symmetric bounded smooth domain in R^N, N\geq 7 and p = (N+2)/(N-2)…