33 citations · 96 across the 16 of their papers we have counts for
6 papers · 1 filter
Estimates for the p-Green function near the pole
Stefano Borghini, Virginia Agostiniani
We study the asymptotic expansion of p-Green functions and their derivatives near the pole. In the Euclidean setting, we strengthen a theorem from [arXiv:2203.01206] by establishin…
On the Serrin problem for ring-shaped domains: the -dimensional case
Virginia Agostiniani, Chiara Bernardini, Stefano Borghini +1
We provide several characterizations of ring-shaped rotationally symmetric solutions to the Serrin problem in arbitrary dimensions.
Symmetry results for Serrin-type problems in doubly connected domains
Stefano Borghini
In this work, we employ the technique developed in arXiv:2109.11255 to prove rotational symmetry for a class of Serrin-type problems for the standard laplacian. We also discuss in…
On the Serrin problem for ring-shaped domains
Virginia Agostiniani, Stefano Borghini, Lorenzo Mazzieri
In this paper, we deal with the long standing open problem of characterising rotationally symmetric solutions to , when Dirichlet boundary conditions are imposed on a ring…
On the mass of static metrics with positive cosmological constant -- II
Stefano Borghini, Lorenzo Mazzieri
This is the second of two works, in which we discuss the definition of an appropriate notion of mass for static metrics, in the case where the cosmological constant is positive and…
On the mass of static metrics with positive cosmological constant - I
Stefano Borghini, Lorenzo Mazzieri
In this paper we propose and discuss a notion of mass for compact static metrics with positive cosmological constant. As a consequence, we characterise the de Sitter solution as th…