具有混合分散和临界指数增长的切尔诺-西蒙斯-薛定谔系统的归一化解法

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS ACS Applied Bio Materials Pub Date : 2024-08-05 DOI:10.1002/mma.10383
Chenlu Wei, Lixi Wen
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引用次数: 0

摘要

本文主要研究具有混合分散和临界指数增长的切尔-西蒙斯-薛定谔系统的归一化解的存在性。这些解对应于-规范约束下基本能量函数的临界点,即 。在某些温和的假设条件下,我们通过为给定系统开发新的数学策略和分析技术,建立了非微观解的存在性。这些结果扩展并改进了现有文献中的结果。
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Normalized solutions for Chern–Simons–Schrödinger system with mixed dispersion and critical exponential growth
This paper focuses on the existence of normalized solutions for the Chern–Simons–Schrödinger system with mixed dispersion and critical exponential growth. These solutions correspond to critical points of the underlying energy functional under the ‐norm constraint, namely, . Under certain mild assumptions, we establish the existence of nontrivial solutions by developing new mathematical strategies and analytical techniques for the given system. These results extend and improve the results in the existing literature.
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来源期刊
ACS Applied Bio Materials
ACS Applied Bio Materials Chemistry-Chemistry (all)
CiteScore
9.40
自引率
2.10%
发文量
464
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