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MINIMIZERS OF L2-SUBCRITICAL INHOMOGENEOUS VARIATIONAL PROBLEMS WITH A SPATIALLY DECAYING NONLINEARITY

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成果类型:
期刊论文
作者:
Gao, Yongshuai;Guo, Yujin;Wu, Shuang
通讯作者:
Wu, S
作者机构:
[Wu, Shuang; Wu, S; Gao, Yongshuai; Guo, Yujin] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
[Guo, Yujin] Cent China Normal Univ, Hubei Key Lab Math Sci, Wuhan 430079, Peoples R China.
通讯机构:
[Wu, S ] C
Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
语种:
英文
关键词:
$ L^2 $-subcritical;spatially decaying nonlinearity;minimizers;energy estimates;mass concentration
期刊:
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS
ISSN:
1534-0392
年:
2023
卷:
22
期:
1
页码:
304-317
基金类别:
2020 Mathematics Subject Classification. Primary: 35Q40, 46N50; Secondary: 35J20. Key words and phrases. L2-subcritical, spatially decaying nonlinearity, minimizers, energy estimates, mass concentration. The second author is partially supported by NSFC under Grants 12225106 and 11931012, as well as the Fundamental Research Funds for the Central Universities #CCNU22LJ002. ∗Corresponding author: Shuang Wu.
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:
We study the minimizers of L2-subcritical inhomogeneous variational problems with spatially decaying nonlinear terms, which contain x = 0 as a singular point. The limit concentration behavior of minimizers is proved as M → ∞ by establishing the refined analysis of the spatially decaying nonlinear term. © 2023 American Institute of Mathe...

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