关于𝕣N中具有p-拉普拉斯的临界拟线性SchröDinger-Poisson系统

IF 1.8 3区数学 Q1 MATHEMATICS, APPLIED

Mathematical Methods in the Applied Sciences Pub Date : 2025-06-26 DOI:10.1002/mma.11173

Yanan Liu, Ruifeng Zhang

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引用次数: 0

摘要

本文利用变分方法和一些新技巧，在f $$ f $$上适当的假设下，讨论临界系统Schrödinger-Poisson基态解的存在性。我们的结果可以推广到p $$ p $$ -拉普拉斯的更一般的系统。此外，我们还向感兴趣的读者介绍了p $$ p $$ -拉普拉斯方程采用Pohozaev恒等式的不存在性。

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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On the Critical Quasilinear SchröDinger-Poisson System With p-Laplacian in 𝕣N

In this paper, we are concerned with the existence of the ground-state solutions of the critical Schrödinger-Poisson system via variational method and some new tricks under suitable assumptions on $f$ . And our results may generalize to a more general system with $p$ -Laplacian. Moreover, we also present to the interested readers the nonexistence results for the $p$ -Laplacian equation by adopting Pohozaev identity.

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来源期刊

Mathematical Methods in the Applied Sciences 数学-应用数学

CiteScore

4.90

自引率

6.90%

发文量

798

审稿时长

6 months

期刊介绍： Mathematical Methods in the Applied Sciences publishes papers dealing with new mathematical methods for the consideration of linear and non-linear, direct and inverse problems for physical relevant processes over time- and space- varying media under certain initial, boundary, transition conditions etc. Papers dealing with biomathematical content, population dynamics and network problems are most welcome. Mathematical Methods in the Applied Sciences is an interdisciplinary journal: therefore, all manuscripts must be written to be accessible to a broad scientific but mathematically advanced audience. All papers must contain carefully written introduction and conclusion sections, which should include a clear exposition of the underlying scientific problem, a summary of the mathematical results and the tools used in deriving the results. Furthermore, the scientific importance of the manuscript and its conclusions should be made clear. Papers dealing with numerical processes or which contain only the application of well established methods will not be accepted. Because of the broad scope of the journal, authors should minimize the use of technical jargon from their subfield in order to increase the accessibility of their paper and appeal to a wider readership. If technical terms are necessary, authors should define them clearly so that the main ideas are understandable also to readers not working in the same subfield.