A. Mas

activity

20182022

collaborators

Showing math.APShow all

3 papers · 1 filter

math.AP2022

Existence and symmetry of periodic nonlocal-CMC surfaces via variational methods

Xavier Cabre, Gyula Csató, Albert Mas

This paper provides the first variational proof of the existence of periodic nonlocal-CMC surfaces. These are nonlocal analogues of the classical Delaunay cylinders. More precisely…

math.AP2018

The MIT Bag Model as an infinite mass limit

Naiara Arrizabalaga, Loïc Le Treust, Albert Mas +1

The Dirac operator, acting in three dimensions, is considered. Assuming that a large mass $m > 0$ lies outside a smooth and bounded open set $Ω \subset R^{3}$ , it is proved that its spe…

math.AP2018

Characterization of balls as minimizers of an endpoint Gagliardo seminorm on the boundary

Albert Mas

Given a bounded $C^{2}$ domain $Ω \subset R^{d}$ with $d \geq 3$ , we prove a sharp inequality which relates the perimeter of $\partial Ω$ to the endpoint Gagliardo seminorm in $…