RN 中具有混合增长非线性的矩阵非线性薛定谔方程的多重驻波

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-06-24 DOI:10.1016/j.nonrwa.2024.104153

Ting Zhang, Guanwei Chen

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引用次数: 0

摘要

在整个空间 RN 中，我们利用变分法研究了一类带电势的矩阵非线性薛定谔方程的两个驻波的存在性，其中非线性在无穷大处是亚线性或渐近线性的。新颖之处如下(1) 矩阵非线性方程在整个空间 RN 中定义。(2) 非线性由两个具有不同增长条件的混合非线性项组成。(3) 权重函数可能是符号变化的。(4) 我们的结果可应用于许多实例。

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Multiple standing waves of matrix nonlinear Schrödinger equations with mixed growth nonlinearities in RN

In the whole space $R^{N}$ , we study the existence of two standing waves for a class of matrix nonlinear Schrödinger equations with potentials by using variational methods, where the nonlinearities are sublinear or asymptotically linear at infinity. The novelties are as follows. (1) The matrix nonlinear equations are defined in the whole space $R^{N}$ . (2) The nonlinearities are composed of two mixed nonlinear terms with different growth conditions. (3) The weight function may be sign-changing. (4) Our results can be applied to many examples.

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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.