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

S. Rawat, V. Rǎdulescu, 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: where is a bounded domain in with smooth boundary, is a bounded measurable function on , is nonnegative real number, is the unit outer normal to , , and . The functions and have critical exponential growth, while and are their primitives. The proofs combine the constrained minimization method with energy methods and topological tools.

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来源期刊

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