关于一些椭圆系统的唯一连续性原理

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2021-09-01 DOI:10.1016/j.anihpc.2020.12.001

Ederson Moreira dos Santos , Gabrielle Nornberg , Nicola Soave

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引用次数: 4

摘要

本文证明了一类满足适当超线性条件的椭圆型偏微分方程组的唯一延拓原理。作为一个应用，我们得到了球中Lane-Emden系统在临界和超临界状态下不存在非平凡（不一定是正）径向解。我们的一些结果也适用于一般的全非线性算子，例如Pucci的极值算子，即使对于标量方程也是新的。

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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On unique continuation principles for some elliptic systems

In this paper we prove unique continuation principles for some systems of elliptic partial differential equations satisfying a suitable superlinearity condition. As an application, we obtain nonexistence of nontrivial (not necessarily positive) radial solutions for the Lane-Emden system posed in a ball, in the critical and supercritical regimes. Some of our results also apply to general fully nonlinear operators, such as Pucci's extremal operators, being new even for scalar equations.

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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.