22 citations · 80 across the 66 of their papers we have counts for
8 papers · 1 filter
Multiple solutions for nonlinear boundary value problems of Kirchhoff type on a double phase setting
Alessio Fiscella, Greta Marino, Andrea Pinamonti +1
This paper deals with some classes of Kirchhoff type problems on a double phase setting and with nonlinear boundary conditions. Under general assumptions, we provide multiplicity r…
On the asymptotic behaviour of the fractional Sobolev seminorms in metric measure spaces: Bourgain-Brezis-Mironescu's theorem revisited
Bang-Xian Han, Andrea Pinamonti
We generalize Bourgain-Brezis-Mironescu's asymptotic formula for fractional Sobolev functions, in the setting of abstract metric measure spaces, under the assumption that at almost…
On the asymptotic behaviour of the fractional Sobolev seminorms in metric measure spaces: asymptotic volume ratio, volume entropy and rigidity
Bang-Xian Han, Andrea Pinamonti
We study the asymptotic behaviour of suitably defined seminorms in general metric measure spaces. As a particular case we provide new and shorter proofs of the Maz'ya-Shaposhnikova…
A C^k Lusin Approximation Theorem For Real-Valued Functions on Carnot Groups
Marco Capolli, Andrea Pinamonti, Gareth Speight
We study the Lusin approximation problem for real-valued measurable functions on Carnot groups. We prove that k-approximate differentiability almost everywhere is equivalent to adm…
Existence and uniqueness theorems for some semi-linear equations on locally finite graphs
Andrea Pinamonti, Giorgio Stefani
We study some semi-linear equations for the -Laplacian operator on locally finite weighted graphs. We prove existence of weak solutions for all and $p\in(1,…
New Integral Estimates in Substatic Riemannian Manifolds and the Alexandrov Theorem
Mattia Fogagnolo, Andrea Pinamonti
We derive new integral estimates on substatic manifolds with boundary of horizon type, naturally arising in General Relativity. In particular, we generalize to this setting an iden…