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

机构地区：[1]School of Mathematics and Statistics,Hubei key Laboratory of Mathematical Sciences,Central China Normal University,Wuhan,430079,China

出　　处：《Acta Mathematica Scientia》2024年第3期984-996,共13页数学物理学报（B辑英文版）

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。

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.

关 键 词：decaying nonlinearity L~2-subcritical MINIMIZERS bounded domains mass concentration 

分 类 号：O212[理学—概率论与数理统计]