具有对数和指数非线性的1 / 2 -拉普拉斯问题

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-01-01 DOI:10.14232/ejqtde.2023.1.37

Zigao Chen

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引用次数: 0

摘要

本文基于一个合适的分数阶Trudinger-Moser不等式，给出了一类涉及对数和指数非线性的一维非局部方程最小能量变符号解存在的充分条件。利用Nehari流形的约束最小化的主要工具和定量变形引理，我们考虑了亚临界和临界指数增长。这项工作可以看作是对一些文献结果的补充。

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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1 / 2 -Laplacian problem with logarithmic and exponential nonlinearities

In this paper, based on a suitable fractional Trudinger–Moser inequality, we establish sufficient conditions for the existence result of least energy sign-changing solution for a class of one-dimensional nonlocal equations involving logarithmic and exponential nonlinearities. By using a main tool of constrained minimization in Nehari manifold and a quantitative deformation lemma, we consider both subcritical and critical exponential growths. This work can be regarded as the complement for some results of the literature.

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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.