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Normalized solutions for Chern–Simons–Schrödinger system with mixed dispersion and critical exponential growth

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成果类型:
期刊论文
作者:
Wei, Chenlu;Wen, Lixi
通讯作者:
Wen, LX
作者机构:
[Wei, Chenlu] Cent South Univ, Sch Math & Stat, HNP LAMA, Changsha, Peoples R China.
[Wen, Lixi; Wen, LX] Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410114, Hunan, Peoples R China.
通讯机构:
[Wen, LX ] C
Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410114, Hunan, Peoples R China.
语种:
英文
关键词:
Chern-Simons-Schrodinger system;critical exponential growth;normalized solution;Trudinger-Moser inequality
期刊:
Mathematical Methods in the Applied Sciences
ISSN:
0170-4214
年:
2025
卷:
48
期:
1
页码:
1256-1280
基金类别:
National Natural Science Foundation of China [11971485, 12001542]; Hunan Provincial Natural Science Foundation [2022JJ20048, 2021JJ40703]
机构署名:
本校为通讯机构
院系归属:
数学与统计学院
摘要:
This paper focuses on the existence of normalized solutions for the Chern–Simons–Schrödinger system with mixed dispersion and critical exponential growth. These solutions correspond to critical points of the underlying energy functional under the L 2 $$ {L}^2 $$ -norm constraint, namely, ∫ ℝ 2 u 2 d x = c > 0 $$ {\int}_{{\mathrm{\mathbb{R}}}^2}{u}^2\mathrm{d}x=c>0 $$ . Under certain mild assumptions, we establish the existence of nontrivial solutions by developing new m...

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