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arXiv · 1506.01550

Uniqueness and Nondegeneracy of Ground States for Choquard Equations in three dimensions

Chang-Lin Xiang
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Abstract

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.

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Chang-Lin Xiang. 2015-06-04. Uniqueness and Nondegeneracy of Ground States for Choquard Equations in three dimensions. https://arxiv.org/abs/1506.01550

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