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MINIMIZERS OF L~2-SUBCRITICAL VARIATIONAL PROBLEMS WITH SPATIALLY DECAYING NONLINEARITIES IN BOUNDED DOMAINS
【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.
【Abstract】 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；
【Key words】 decaying nonlinearity； L~2-subcritical； minimizers； bounded domains； mass concentration；
【Key words】 decaying nonlinearity； L~2-subcritical； minimizers； bounded domains； mass concentration；
【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
- 【文献出处】 Acta Mathematica Scientia ,数学物理学报 , 编辑部邮箱 ,2024年03期
- 【分类号】O212
- 【下载频次】3