On aspects of the normalized Infinity Laplacian on Finsler manifolds

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-05-27 DOI:10.1016/j.na.2024.113579

Ahmed Mohammed , Leandro F. Pessoa

引用次数: 0

Abstract

In the context of Finsler manifolds, the paper explores the existence, asymptotic boundary behavior, and uniqueness of viscosity solutions to infinite boundary-value problems associated with the normalized infinite Laplacian in relatively compact subsets. The equation under consideration incorporates lower-order terms featuring non-linear gradient terms. To achieve this objective, we study Dirichlet problems with continuous boundary data and establish a comparison principle, which is of independent significance.

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论芬斯勒流形上归一化无穷拉普拉奇的各个方面

在芬斯勒流形的背景下，论文探讨了在相对紧凑子集中与归一化无限拉普拉奇相关的无限边界值问题的粘性解的存在性、渐近边界行为和唯一性。所考虑的方程包含以非线性梯度项为特征的低阶项。为了实现这一目标，我们研究了具有连续边界数据的 Dirichlet 问题，并建立了具有独立意义的比较原理。

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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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.