29 citations · 144 across the 45 of their papers we have counts for
5 papers · 1 filter
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 …
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…
Integral formulas for hypersurfaces in cones and related questions
Filomena Pacella, Giulio Tralli
We discuss the validity of Minkowski integral identities for hypersurfaces inside a cone, intersecting the boundary of the cone orthogonally. In doing so we correct a formula provi…
Stability for the Sobolev inequality in cones
Filomena Pacella, Giulio Ciraolo, Camilla Chiara Polvara
We prove a quantitative Sobolev inequality in cones of Bianchi-Egnell type, which implies a stability property. Our result holds for any cone as long as the minimizers of the Sobol…