分数阶p -拉普拉斯系统的Young测度存在性结果

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-04-27 DOI:10.3846/mma.2022.14452

Farah Balaadich, E. Azroul

引用次数: 0

摘要

本文给出了给定基准f下分数阶p-拉普拉斯系统(-∆)spu = f(x,u)在Ω中，u = 0在Rn\Ω中，u = 0的存在性结果。利用杨氏测度理论得到了弱解的存在性。

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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Existence Results for fractional P-Laplacian Systems via Young Measures

In this paper, we show the existence result of the following fractional p-Laplacian system (−∆)spu = f(x,u) in Ω, u = 0 in Rn\Ω, for a given datum f. The existence of weak solutions is obtained by using the theory of Young measures.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.