MINIMIZERS OF L2-SUBCRITICAL VARIATIONAL PROBLEMS WITH SPATIALLY DECAYING NONLINEARITIES IN BOUNDED DOMAINS

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外文摘要：This paper is concerned with the minimizers of L2-subcritical constraint varia-tional problems with spatially decaying nonlinearities in a bounded domain Ω of RN(N ≥ 1).We prove that the problem admits minimizers for any M＞0.Moreover,the limiting behavior of minimizers as M → oo is also analyzed rigorously.

外文关键词：

decaying nonlinearityL2-subcriticalminimizersbounded domainsmass con-centration

作者：

陈彬、高永帅、郭玉劲、吴越

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作者单位：

School of Mathematics and Statistics,Hubei Key Laboratory of Mathematical Sciences,Central China Normal University,Wuhan 430079,China

基金：

Graduate Education Innovation Funds at Central China Normal University in ChinaNSFCNSFCFundamental Research Funds for the Central Universities in China

项目编号：

2022CXZZ0881222510611931012CCNU22LJ002

出版年：

2024

DOI：

10.1007/s10473-024-0312-y

数学物理学报(英文版)

中科院武汉物理与数学研究所

数学物理学报(英文版)

CSTPCD

影响因子：0.256

ISSN：0252-9602

年,卷(期)：2024.44(3)