%0 Journal Article %T On the uniqueness of ground states of non-local equations %A Rupert L. Frank %J Mathematics %D 2011 %I arXiv %X We review our joint result with E. Lenzmann about the uniqueness of ground state solutions of non-linear equations involving the fractional Laplacian and provide an alternate uniqueness proof for an equation related to the intermediate long-wave equation. %U http://arxiv.org/abs/1109.4049v1