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- W2743167250 abstract "Consider nonlinear Choquard equations begin{equation*} left{begin{array}{rcl} -Delta u +u & = &(I_alpha*|u|^p)|u|^{p-2}u quad text{in } mathbb{R}^N, lim_{x to infty}u(x) & = &0, end{array}right. end{equation*} where $I_alpha$ denotes Riesz potential and $alpha in (0, N)$. In this paper, we investigate limit profiles of ground states of nonlinear Choquard equations as $alpha to 0$ or $alpha to N$. This leads to the uniqueness and nondegeneracy of ground states when $alpha$ is sufficiently close to $0$ or close to $N$." @default.
- W2743167250 created "2017-08-17" @default.
- W2743167250 creator A5087879083 @default.
- W2743167250 date "2017-04-01" @default.
- W2743167250 modified "2023-09-24" @default.
- W2743167250 title "Limit profiles and uniqueness of ground states to the nonlinear Choquard equations" @default.
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- W2743167250 doi "https://doi.org/10.48550/arxiv.1704.00126" @default.
- W2743167250 hasPublicationYear "2017" @default.
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