双线性椭圆能量向量值极小值的一个比较原理及其在死核中的应用

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2021-02-25 DOI:10.1512/iumj.2021.70.9435

Panayotis Smyrnelis

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引用次数: 0

摘要

.我们建立了一个比较原理，该原理为能量泛函的向量值极小值模提供了精确的上界，当势是光滑的时，该能量泛函与椭圆梯度系统相关联。我们的假设非常温和：我们假设势是下半连续的，并满足其最小邻域的单调性条件。因此，我们给出了死核区域存在的一个充分条件，其中极小值等于势的极小值之一。

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A comparison principle for vector-valued minimzers of semilinear elliptic energy, with application to dead cores

. We establish a comparison principle providing accurate upper bounds for the modulus of vector valued minimizers of an energy functional, associated when the potential is smooth, to elliptic gradient systems. Our assumptions are very mild: we assume that the potential is lower semicontinuous, and satisﬁes a monotonicity condition in a neighbourhood of its minimum. As a consequence, we give a suﬃcient condition for the existence of dead core regions, where the minimizer is equal to one of the minima of the potential.

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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.