10 citations · 25 across the 7 of their papers we have counts for
9 papers
A data filling methodology for time series based on CNN and (Bi)LSTM neural networks
Kostas Tzoumpas, Aaron Estrada, Pietro Miraglio +1
In the process of collecting data from sensors, several circumstances can affect their continuity and validity, resulting in alterations of the data or loss of information. Althoug…
Optimal regularity of stable solutions to nonlinear equations involving the -Laplacian
Xavier Cabre, Pietro Miraglio, Manel Sanchon
We consider the equation in a smooth bounded domain of , where is the -Laplace operator. Explicit examples of unbounded stable energy solution…
(Non)local -convergence
Serena Dipierro, Pietro Miraglio, Enrico Valdinoci
We present some long-range interaction models for phase coexistence which have recently appeared in the literature, recalling also their relation to classical interface and capilla…
Universal Hardy-Sobolev inequalities on hypersurfaces of Euclidean space
Xavier Cabre, Pietro Miraglio
In this paper we study Hardy-Sobolev inequalities on hypersurfaces of , all of them involving a mean curvature term and having universal constants independent of…
Energy asymptotics of a Dirichlet to Neumann problem related to water waves
Pietro Miraglio, Enrico Valdinoci
We consider a Dirichlet to Neumann operator arising in a model for water waves, with a nonlocal parameter . We deduce the expression of the operator in…
Boundedness of stable solutions to nonlinear equations involving the -Laplacian
Pietro Miraglio
We consider stable solutions to the equation in a smooth bounded domain for a nonlinearity . Either in the radial case, or for s…
Symmetry results for the solutions of a partial differential equation arising in water waves
Serena Dipierro, Pietro Miraglio, Enrico Valdinoci
This paper recalls some classical motivations in fluid dynamics leading to a partial differential equation which is prescribed on a domain whose boundary possesses two connected co…
One-dimensional symmetry for the solutions of a three-dimensional water wave problem
Eleonora Cinti, Pietro Miraglio, Enrico Valdinoci
We prove a one-dimensional symmetry result for a weighted Dirichlet-to-Neumann problem arising in a model for water waves in dimension 3. More precisely we prove that minimizers an…
The Phillip Island penguin parade (a mathematical treatment)
Serena Dipierro, Luca Lombardini, Pietro Miraglio +1
Penguins are flightless, so they are forced to walk while on land. In particular, they show rather specific behaviors in their homecoming, which are interesting to observe and to d…