activity
20122026
most citedA Reduction Method for Semilinear Elliptic Equations and Solutions Concentrating on Spheres

29 citations · 144 across the 45 of their papers we have counts for

collaborators

53 papers

cond-mat.soft2026

Active remodeling rescues a microswimmer from geometric trapping

Ayushi Bhatt, Nico Schramma, Jasper van der Gucht +1

Natural habitats confront microorganisms with heterogeneous, mechanically complex surroundings that shape how they move and explore. Most studies of motility in complex media treat…

math.AP2026

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…

math.AP2026

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…

math.AP2025

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 …

math.AP2025

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…

math.AP2025

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…