Semiclassical states for Choquard type equations with critical growth: critical frequency case

Semiclassical states for Choquard type equations with critical growth: critical frequency case
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具有临界增长的 Choquard 型方程的半经典态:临界频率情况

DOI:
10.1088/1361-6544/aba88d
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发表时间:
2020
期刊:
影响因子:
1.7
通讯作者:
Minbo Yang
Minbo Yang
中科院分区:
数学2区
文献类型:
--
作者:
Yanheng Ding;Fashun Gao;Minbo Yang

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In this paper we are interested in the existence of semiclassical states for the Choquard type equation $-{\varepsilon}^{2}{\Delta} u+ V\left (x\right) u=\left ({\int} _ {{\mathbb {R}}^{N}}\frac {G\left (u\left (y\right)\right)}{{\vert xy\vert}^{\mu}}\mathrm {d} y\right) g\left (u\right)\text {in}\;{\mathbb {R}}^{N}, $
In this paper we are interested in the existence of semiclassical states for the Choquard type equation $-{\varepsilon}^{2}{\Delta} u+ V\left (x\right) u=\left ({\int} _ {{\mathbb {R}}^{N}}\frac {G\left (u\left (y\right)\right)}{{\vert xy\vert}^{\mu}}\mathrm {d} y\right) g\left (u\right)\text {in}\;{\mathbb {R}}^{N}, $