  We prove the global existence of a helical weak solution of the 3D Euler
equations, in full space, for an initial velocity with helical symmetry,
without swirl and whose initial vorticity is compactly supported in the axial
plane and belongs to $L^p$, for some $p>\frac{4}{3}$. This result is an
extension of the existence part of the work of B. Ettinger and E. Titi (SIAM J.
Math Anal. 41(2009) 269-296), who studied well-posedness of the Euler equations
with helical symmetry without swirl, with bounded initial vorticity, in a
helical pipe.
