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奥利兹空间的集中-紧密性原理及其应用

IF 0.8 3区 数学 Q2 MATHEMATICS
Mathematische Nachrichten Pub Date : 2024-09-02 DOI:10.1002/mana.202300469
Julián Fernández Bonder, Analía Silva
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引用次数: 0

摘要

在本文中，我们将 P.L. Lions 著名的集中-紧凑性原理扩展到奥利奇空间。作为应用，我们展示了一些具有非标准增长的临界椭圆问题的存在性结果。
本文章由计算机程序翻译，如有差异，请以英文原文为准。
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The concentration–compactness principle for Orlicz spaces and applications
In this paper, we extend the well‐known concentration–compactness principle of P.L. Lions to Orlicz spaces. As an application, we show an existence result to some critical elliptic problem with nonstandard growth.
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来源期刊
Mathematische Nachrichten
Mathematische Nachrichten 数学-数学
CiteScore
1.50
自引率
0.00%
发文量
157
审稿时长
4-8 weeks
期刊介绍： Mathematische Nachrichten - Mathematical News publishes original papers on new results and methods that hold prospect for substantial progress in mathematics and its applications. All branches of analysis, algebra, number theory, geometry and topology, flow mechanics and theoretical aspects of stochastics are given special emphasis. Mathematische Nachrichten is indexed/abstracted in Current Contents/Physical, Chemical and Earth Sciences; Mathematical Review; Zentralblatt für Mathematik; Math Database on STN International, INSPEC; Science Citation Index
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