A. Mas

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20182022

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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 $…