1 citations · 1 across the 6 of their papers we have counts for
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…
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…
The role of the curvature of a surface in the shape of the solutions to elliptic equations
Francesca Gladiali, Massimo Grossi, Luigi Provenzano
We prove uniqueness and non-degeneracy of the critical point of positive, semi-stable solutions of with Dirichlet boundary conditions for a class of star-shaped domains…
A note on the first Steklov eigenvalue on planar domains
Azahara DelaTorre, Gabriele Mancini, Angela Pistoia +1
We consider the first positive Steklov eigenvalue on planar domains. First, we provide an example of a planar domain for which a first eigenfunction has a closed nodal line. Second…
Nonexistence of Courant-type nodal domain bounds for eigenfunctions of the Dirichlet-to-Neumann operator
Alberto Enciso, Angela Pistoia, Luigi Provenzano
Given a compact manifold with boundary of dimension and any integers and , we show that there exists a metric on for which the first …
Non-degeneracy of the bubble in a fractional and singular 1D Liouville equation
Azahara DelaTorre, Gabriele Mancini, Angela Pistoia +1
We prove the non-degeneracy of solutions to a fractional and singular Liouville equation defined on the whole real line in presence of a singular term. We use conformal transformat…
On the critical points of Steklov eigenfunctions
Luca Battaglia, Angela Pistoia, Luigi Provenzano
We consider the critical points of Steklov eigenfunctions on a compact, smooth -dimensional Riemannian manifold with boundary . For generic metrics on we est…
On the critical points of semi-stable solutions on convex domains of Riemannian surfaces
Massimo Grossi, Luigi Provenzano
In this paper we consider semilinear equations with Dirichlet boundary conditions on certain convex domains of the two dimensional model spaces of constant curvature. We…