2 citations · 4 across the 17 of their papers we have counts for
19 papers
Rigidity for capillary liquid drops of nearly circular section with constant vorticity
Pietro Baldi, Domenico Angelo La Manna, Giuseppe La Scala
We consider time-independent solutions with constant vorticity of the free boundary Euler equations for a 3D liquid drop with capillarity. A rigidity result for the solutions of th…
A rigidity result for the 3D capillary liquid drop with constant vorticity
Pietro Baldi, Domenico Angelo La Manna, Giuseppe La Scala
We consider the free boundary problem for the Euler equations of fluid dynamics governing the motion of a 3D liquid drop with capillarity and nearly spherical shape, under th…
On the Dirichlet-Neumann operator for nearly spherical domains
Pietro Baldi, Vesa Julin, Domenico Angelo La Manna
We consider the Dirichlet-Neumann operator for a nearly spherical domain in R^n, and prove sharp analytic and tame estimates in Sobolev class. The novelty of this paper concerns te…
On the approximation of finite perimeter sets
Alessandro Carbotti, Simone Cito, Domenico Angelo La Manna +2
We prove that if is a set with finite perimeter with , then any set of finite perimeter $E\subseteq\m…
A variational approach to the volume-preserving anisotropic mean curvature flow in 2D
Andrea Kubin, Domenico Angelo La Manna, Enrico Pasqualetto
In this article, we introduce a variational algorithm, in the spirit of the minimizing movements scheme, to model the volume-preserving anisotropic mean curvature flow in 2D. We sh…
Bifurcation from multiple eigenvalues of rotating traveling waves on a capillary liquid drop
Pietro Baldi, Domenico Angelo La Manna, Giuseppe La Scala
We consider the free boundary problem for a liquid drop of nearly spherical shape with capillarity, and we study the existence of nontrivial (i.e., non spherical) rotating travelin…
Liquid drop with capillarity and rotating traveling waves
Pietro Baldi, Vesa Julin, Domenico Angelo La Manna
We consider the free boundary problem for a 3-dimensional, incompressible, irrotational liquid drop of nearly spherical shape with capillarity. We study the problem from the beginn…
Characterization of sets of finite local and non local perimeter via non local heat equation
Andrea Kubin, Domenico Angelo La Manna
In this paper we provide a characterization of sets of finite local and non local perimeter via a convergence result. As an application we give a proof of the isoperimetric ine…
Stability of the Gaussian Faber-Krahn inequality
Alessandro Carbotti, Simone Cito, Domenico Angelo La Manna +1
We prove a quantitative version of the Gaussian Faber-Krahn type inequality proved by Betta, Chiacchio and Ferone for the first Dirichlet eigenvalue of the Ornstein-Uhlenbeck opera…
Some isoperimetric inequalities involving the boundary momentum
Domenico Angelo La Manna, Rossano Sannipoli
The aim of this paper is twofold. In the first part we focus on a functional involving a weighted curvature integral and the quermassintegrals. We prove upper and lower bounds for…
Convergence of the volume preserving fractional mean curvature flow for convex sets
Vesa Julin, Domenico Angelo La Manna
We prove that the volume preserving fractional mean curvature flow starting from a convex set does not develop singularities along the flow. By the recent result of Cesaroni-Novaga…
Local Regularity of very weak -harmonic functions via fractional difference quotients
Alessandro Carbotti, Simone Cito, Domenico Angelo La Manna +1
The aim of this paper is to give a new proof that any very weak -harmonic function in the unit ball is smooth. As a first step, we improve the local summability properti…
A priori estimates for the motion of charged liquid drop: A dynamic approach via free boundary Euler equations
Vesa Julin, Domenico Angelo La Manna
We study the motion of charged liquid drop in three dimensions where the equations of motions are given by the Euler equations with free boundary with an electric field. This is a…
Asymptotics of the -fractional Gaussian perimeter as
Alessandro Carbotti, Simone Cito, Domenico Angelo La Manna +1
We study the asymptotic behaviour of the renormalised -fractional Gaussian perimeter of a set inside a domain as . Contrary to the Euclidean case, as the Gauss…
Gamma-convergence of fractional Gaussian perimeter
Alessandro Carbotti, Simone Cito, Domenico Angelo La Manna +1
We prove the -convergence of the renormalised fractional Gaussian -perimeter to the Gaussian perimeter as . Our definition of fractional perimeter comes from that o…
A nonlocal approximation of the Gaussian perimeter: Gamma convergence and Isoperimetric properties
Antonio De Rosa, Domenico Angelo La Manna
We study a non local approximation of the Gaussian perimeter, proving the Gamma convergence to the local one. Surprisingly, in contrast with the local setting, the halfspace turns…
A quantitative dimension free isoperimetric inequality for the fractional Gaussian perimeter
Alessandro Carbotti, Simone Cito, Domenico Angelo La Manna +1
We prove a quantitative isoperimetric inequality for the Gaussian fractional perimeter using extension techniques. Though the exponent of the Fraenkel asymmetry is not sharp, the c…
A two-phase problem with Robin conditions on the free boundary
Serena Guarino Lo Bianco, Domenico Angelo La Manna, Bozhidar Velichkov
We study for the first time a two-phase free boundary problem in which the solution satisfies a Robin boundary condition. We consider the case in which the solution is continuous a…
Short time existence of the classical solution to the fractional Mean curvature flow
Vesa Julin, Domenico La Manna
We establish short-time existence of the smooth solution to the fractional mean curvature flow when the initial set is bounded and C^{1,1}-regular. We provide the same result also…