在ℝ2中具有临界指数增长的对数乔夸尔方程

IF 1.1 4区数学 Q2 MATHEMATICS, APPLIED

Applicable Analysis Pub Date : 2024-04-10 DOI:10.1080/00036811.2024.2339273

Xiao-Ping Chen, Chun-Lei Tang

引用次数: 0

摘要

在本文中，我们关注以下对数乔卡方程-Δu+u=[I2∗F(u)]f(u),x∈R2，其中I2=12πln1|x|是维数为2的牛顿核，F(u)=∫0uf(t)dt和f∈C1(R,...

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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A logarithmic Choquard equation with critical exponential growth in ℝ2

In this paper, we are paid attention to the following logarithmic Choquard equation −Δu+u=[I2∗F(u)]f(u),x∈R2, where I2=12πln⁡1|x| is the Newtonian kernel in dimension 2, F(u)=∫0uf(t)dt and f∈C1(R,...

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来源期刊

Applicable Analysis 数学-应用数学

CiteScore

2.60

自引率

9.10%

发文量

175

审稿时长

2 months

期刊介绍： Applicable Analysis is concerned primarily with analysis that has application to scientific and engineering problems. Papers should indicate clearly an application of the mathematics involved. On the other hand, papers that are primarily concerned with modeling rather than analysis are outside the scope of the journal General areas of analysis that are welcomed contain the areas of differential equations, with emphasis on PDEs, and integral equations, nonlinear analysis, applied functional analysis, theoretical numerical analysis and approximation theory. Areas of application, for instance, include the use of homogenization theory for electromagnetic phenomena, acoustic vibrations and other problems with multiple space and time scales, inverse problems for medical imaging and geophysics, variational methods for moving boundary problems, convex analysis for theoretical mechanics and analytical methods for spatial bio-mathematical models.