具有L^1$-数据的变指数退化各向异性椭圆方程障碍问题

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2021-01-01 DOI:10.23952/jnfa.2021.14

Hocine Ayadi, Hocine Ayadi

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引用次数: 1

摘要

．本文证明了一类具有L -数据的非线性退化各向异性椭圆方程障碍问题熵解的存在性。函数框架包括变指数的各向异性Sobolev空间和变指数的弱Lebesgue (Marcinkiewicz)空间。我们的结果是在恒定各向同性指数的背景下对一些现有结果的自然推广。

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The obstacle problem for degenerate anisotropic elliptic equations with variable exponents and $L^1$-data

. In this paper, we prove the existence of entropy solutions for the obstacle problem associated with nonlinear degenerate anisotropic elliptic equations with L 1 -data. The functional framework involves anisotropic Sobolev spaces with variable exponents as well as weak Lebesgue (Marcinkiewicz) spaces with variable exponents. Our results are a natural generalization of some existing ones in the context of constant isotropic exponents.

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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.