Campanato空间中多相问题的梯度估计

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-01-01 DOI:10.1512/iumj.2022.71.8947

Vicentiu D. Rădulescu, Chao Zhang

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引用次数: 11

摘要

建立了一类多相问题弱解的新的Campanato型估计。所考虑的问题的特点是，椭圆性和生长性在三种不同类型的多项式之间根据位置切换，这描述了材料的强各向异性特征。由于DiBenedetto和Manfredi的原因，本文得到的结果与通常的p- laplace方程的BMO型估计有所不同。本文的内容与近期Marcellini和Mingione在多相问题定性分析方面的开创性贡献密切相关。

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Gradient estimates for multi-phase problems in Campanato spaces

We establish a new Campanato type estimate for the weak solutions of a class of multi-phase problems. The problem under consideration is characterized by the fact that both ellipticity and growth switch between three different types of polynomial according to the position, which describes a feature of strongly anisotropic materials. The results obtained in this paper are different from the BMO type estimates for the usual p-Laplacian equation due to DiBenedetto and Manfredi. The content of this paper is in close relationship with the recent pioneering contributions of Marcellini and Mingione in the qualitative analysis of multi-phase problems.

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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.