具有临界指数反应和 Neumann 边界条件的平面 Choquard 方程

IF 0.8 3区 数学 Q2 MATHEMATICS Mathematische Nachrichten Pub Date : 2024-08-09 DOI:10.1002/mana.202400095
Sushmita Rawat, Vicenţiu D. Rădulescu, K. Sreenadh
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引用次数: 0

摘要

我们研究了以下问题的正弱解的存在性:其中 , 是具有光滑边界的有界域, 是 , 上的有界可测函数, 是非负实数, 是 , , 和 的单位外法线。函数 和 具有临界指数增长,而 和 是它们的基元。证明结合了约束最小化方法、能量方法和拓扑工具。
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Planar Choquard equations with critical exponential reaction and Neumann boundary condition

We study the existence of positive weak solutions for the following problem:

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来源期刊
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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