  This paper is a follow-up of article [Gerard-Varet and Lacave, ARMA 2013], on
the existence of global weak solutions to the two dimensional Euler equations
in singular domains. In [Gerard-Varet and Lacave, ARMA 2013], we have
established the existence of weak solutions for a large class of bounded
domains, with initial vorticity in $L^p$ ($p>1$). For unbounded domains, we
have proved a similar result only when the initial vorticity is in $L^p_{c}$
($p>2$) and when the domain is the exterior of a single obstacle. The goal here
is to retrieve these two restrictions: we consider general initial vorticity in
$L^1\cap L^p$ ($p>1$), outside an arbitrary number of obstacles (not reduced to
points).
