Remark on the introduction to “Large-amplitude steady solitary water waves with constant vorticity”

While the mathematical conclusions of the article

SV Haziot and MH Wheeler, Large-amplitude steady solitary water waves with constant vorticity, Arch. Rational Mech. Anal. 247:27, 2023.

are correct, the comparison with the existing literature in the introduction contains an unfortunate sign error. In the notation of the article, it is in fact waves with γ>0 which are expected to overturn, and waves with γ≤0 which can be shown not to overturn. Thus the headline existence result is Proposition 7.9(i) rather than Theorem 1.1.