Semiclassical states for critical Choquard equations with critical frequency

Semiclassical states for critical Choquard equations with critical frequency
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具有临界频率的临界 Choquard 方程的半经典态

DOI:
10.12775/tmna.2020.001
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发表时间:
2021-02
影响因子:
0.7
通讯作者:
Jiazheng Zhou
Jiazheng Zhou
中科院分区:
数学4区
文献类型:
--
作者:
Fashun Gao;Jiazheng Zhou

文献摘要

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We study the multiplicity of semiclassical states for the Choquard equation $$ -\varepsilon^2\Delta u +V(x)u =\varepsilon^{\mu-N}\bigg(\int_{\mathbb{R}^{N}} \frac{G(y,u(y))}{|x-y|^\mu}dy\bigg)g(x,u) \quad \mbox{in $\mathbb{R}^{N}$}, $$ where $0< \mu< N$,