包含一阶项的p-拉普拉斯系统奇异解的对称性和单调性

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-11-29 DOI:10.1515/acv-2023-0043

Stefano Biagi, Francesco Esposito, Luigi Montoro, Eugenio Vecchi

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引用次数: 1

摘要

我们考虑了一类由p-拉普拉斯算子驱动且附加非线性一阶项的偏微分方程系统的正奇异解(即具有不可移动的奇异点)。通过谨慎地使用一种新的移动平面方法，我们证明了解的对称性。在标量情况下，结果已经是新的。

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Symmetry and monotonicity of singular solutions to p-Laplacian systems involving a first order term

We consider positive singular solutions (i.e. with a non-removable singularity) of a system of PDEs driven by p-Laplacian operators and with the additional presence of a nonlinear first order term. By a careful use of a rather new version of the moving plane method, we prove the symmetry of the solutions. The result is already new in the scalar case.

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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.