MINIMIZERS OF L^(2)-SUBCRITICAL VARIATIONAL PROBLEMS WITH SPATIALLY DECAYING NONLINEARITIES IN BOUNDED DOMAINS

作     者：陈彬 高永帅 郭玉劲 吴越 Bin CHEN;Yongshuai GAO;Yujin GUO;Yue WU

作者机构：School of Mathematics and StatisticsHubei key Laboratory of Mathematical SciencesCentral China Normal UniversityWuhan430079China 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2024年第44卷第3期

页      面：984-996页

核心收录：

学科分类：02[经济学] 0202[经济学-应用经济学] 020208[经济学-统计学] 0701[理学-数学] 

基　　金：supported by the Graduate Education Innovation Funds(2022CXZZ088)at Central China Normal University in China supported by the NSFC(12225106,11931012) the Fundamental Research Funds(CCNU22LJ002)for the Central Universities in China。 

主　　题：decaying nonlinearity L~2-subcritical minimizers bounded domains mass concentration 

摘      要：This paper is concerned with the minimizers of L^(2)-subcritical constraint variar tional problems with spatially decaying nonlinearities in a bounded domain Ω of R~N(N≥1).We prove that the problem admits minimizers for any M 0.Moreover,the limiting behavior of minimizers as M→∞ is also analyzed rigorously.