4 papers
Energy stability for a class of semilinear elliptic problems
Danilo Gregorin Afonso, Alessandro Iacopetti, Filomena Pacella
In this paper, we consider semilinear elliptic problems in a bounded domain contained in a given unbounded Lipschitz domain . Our aim is to stud…
Existence of isovolumetric extremals for capillarity functionals
Paolo Caldiroli, Alessandro Iacopetti
Capillarity functionals are parameter invariant functionals defined on classes of two-dimensional parametric surfaces in R3 as the sum of the area integral and a non homogeneous te…
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…
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 $…