8 papers
Regularity results for elliptic equations on cones
Carlo Alberto Antonini, Filomena Pacella, Camilla Chiara Polvara +1
We study global regularity of solutions to Dirichlet or Neumann elliptic problems in spherical sectors of radius in , where is the bounded…
A Constructive Approach to a Class of Overdetermined Problems
Alessandro Fortunati, Filomena Pacella
In this paper we study an overdetermined problem which is directly related to the well known torsion problem studied by J. Serrin. A perturbed version of the latter is tackled by u…
Bifurcating domains for an overdetermined eigenvalue problem in cylinders
Yuanyuan Lian, Filomena Pacella, Pieralberto Sicbaldi
We study an overdetermined eigenvalue problem for domains contained in the half-cylinder , based on a bounded regular domain $Ï\subset \mathbb{R}^{N…
Bifurcation from bubbles in nonconvex cones
Filomena Pacella, Camilla Chiara Polvara, Luigi Provenzano
We investigate the Neumann problem for the critical semilinear elliptic equation in cones. The standard bubble provides a family of radial solutions, which are known to be the only…
Stability and asymptotic behaviour of one-dimensional solutions in cylinders
Francesca De Marchis, Lisa Mazzuoli, Filomena Pacella
We consider positive one-dimensional solutions of a Lane-Emden relative Dirichlet problem in a cylinder and study their stability/instability properties as the energy varies with r…
A shape optimization problem in cylinders and related overdetermined problems
Paolo Caldiroli, Alessandro Iacopetti, Filomena Pacella
In this paper, we study a shape optimization problem for the torsional energy associated with a domain contained in an infinite cylinder, under a volume constraint. We prove that a…