29 citations · 144 across the 45 of their papers we have counts for
4 papers · 1 filter
New concentration phenomena for a class of radial fully nonlinear equations
Giulio Galise, Alessandro Iacopetti, Fabiana Leoni +1
We study radial sign-changing solutions of a class of fully nonlinear elliptic Dirichlet problems in a ball, driven by the extremal Pucci's operators and with a power nonlinear ter…
Existence of nonradial positive and nodal solutions to a critical Neumann problem in a cone
Mónica Clapp, Filomena Pacella
We study the critical Neumann problem \begin{equation*} \begin{cases} -Δu = |u|^{2^*-2}u &\text{in }Σ_ω,\\ \quad\frac{\partial u}{\partialν}=0 &\text{on }\partialΣ_ω, \end{cases} \…
Isoperimetric cones and minimal solutions of partial overdetermined problems
Filomena Pacella, Giulio Tralli
In this paper we consider a partial overdetermined mixed boundary value problem in domains inside a cone as in [18]. We show that in cones having an isoperimetric property the only…
Sectional symmetry of solutions of elliptic systems in cylindrical domains
Lucio Damascelli, Filomena Pacella
In this paper we prove a kind of rotational symmetry for solutions of semilinear elliptic systems in some bounded cylindrical domains. The symmetry theorems obtained hold for low-M…