We obtain uniqueness and nondegeneracy results for ground states of Choquard equations $-\Delta u+u=\left(|x|^{-1}\ast|u|^{p}\right)|u|^{p-2}u$ in $\mathbb{R}^{3}$, provided that $p>2$ and $p$ is sufficiently close to 2.
Uniqueness and nondegeneracy of ground states for $(-Δ)^su+u=2(I_2\star u^2)u$ in $\mathbb{R}^N$ when $s$ is close to 1
Existence and uniqueness of ground states for $p$ - Choquard model in 3D
Uniqueness and nondegeneracy of ground states for the Schrödinger-Newton equation with power nonlinearity
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