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REFINED SPIKE PROFILES OF CONSTRAINT MINIMIZERS FOR THE PLANAR SCHRODINGER-POISSON SYSTEM WITH LOGARITHMIC POTENTIALS

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成果类型:
期刊论文
作者:
Guo, Yujin;Liang, Wenning;Li, Yan
通讯作者:
Guo, YJ
作者机构:
[Li, Yan; Guo, Yujin; Liang, Wenning] Cent China Normal Univ, Sch Math & Stat, Key Lab Nonlinear Anal & Applicat, Minist Educ, Wuhan 430079, Peoples R China.
通讯机构:
[Guo, YJ ] C
Cent China Normal Univ, Sch Math & Stat, Key Lab Nonlinear Anal & Applicat, Minist Educ, Wuhan 430079, Peoples R China.
语种:
英文
关键词:
The planar Schrodinger-Poisson system;constraint minimizers;loga-rithmic potentials;asymptotic expansions;refined spike profiles
期刊:
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
ISSN:
1078-0947
年:
2023
卷:
44
期:
1
页码:
182-204
基金类别:
NSFC [12225106]; [11931012]
机构署名:
本校为第一且通讯机构
院系归属:
数学与统计学学院
摘要:
This paper is concerned with constraint minimizers of the planar Schrodinger-Poisson system with a logarithmic convolution potential and a logarithmic external potential V (x) = ln(1+|x|(2)). It is known that minimizers exist if and only if the particle mass p > 0 satisfies p < p* for some threshold p* is an element of(0, infinity). As a continuation of [22], this paper is devoted to analyzing the refined spike p...

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