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带 CKN 算子的 Lane-Emden 方程的奇异解

IF 0.8 3区 数学 Q2 MATHEMATICS
Mathematische Nachrichten Pub Date : 2024-06-07 DOI:10.1002/mana.202300389
Huyuan Chen, Yanqing Sun, Ying Wang
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引用次数: 0

摘要

本文关注涉及 CKN 算子的 Lane-Emden 方程的孤立奇异解。我们通过与涉及狄拉克质量的方程建立加权分布意义上的联系，对孤立奇异解进行分类。然后，我们得到了原点奇点的最小奇异解，并分析了最小奇异解的稳定性。最后，我们可以通过变分法得出带有给定奇点的第二解。
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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Singular solutions for Lane–Emden equations with CKN operator

In this paper, we concern the isolated singular solutions for Lane–Emden equations involving the CKN operator

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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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