{"title":"Minimizers of L2-subcritical variational problems with spatially decaying nonlinearities in bounded domains","authors":"Bin Chen, Yongshuai Gao, Yujin Guo, Yue Wu","doi":"10.1007/s10473-024-0312-y","DOIUrl":null,"url":null,"abstract":"<p>This paper is concerned with the minimizers of <i>L</i><sup>2</sup>-subcritical constraint variational problems with spatially decaying nonlinearities in a bounded domain Ω of ℝ<sup><i>N</i></sup> (<i>N</i> ≥ 1). We prove that the problem admits minimizers for any <i>M</i> > 0. Moreover, the limiting behavior of minimizers as <i>M</i> → ∞ is also analyzed rigorously.</p>","PeriodicalId":50998,"journal":{"name":"Acta Mathematica Scientia","volume":"7 1","pages":""},"PeriodicalIF":1.2000,"publicationDate":"2024-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Mathematica Scientia","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s10473-024-0312-y","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
This paper is concerned with the minimizers of L2-subcritical constraint variational 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 → ∞ is also analyzed rigorously.
期刊介绍：
Acta Mathematica Scientia was founded by Prof. Li Guoping (Lee Kwok Ping) in April 1981.
The aim of Acta Mathematica Scientia is to present to the specialized readers important new achievements in the areas of mathematical sciences. The journal considers for publication of original research papers in all areas related to the frontier branches of mathematics with other science and technology.
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