Normalized solutions of $L^2$-supercritical NLS equations on compact metric graphs

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-04-03 DOI:10.4171/aihpc/88

Xiaojun Chang, L. Jeanjean, N. Soave

引用次数: 9

Abstract

This paper is devoted to the existence of non-trivial bound states of prescribed mass for the mass-supercritical nonlinear Schr\"odinger equation on compact metric graphs. The investigation is based upon a general variational principle which combines the monotonicity trick and a min-max theorem with second order information, and upon the blow-up analysis of bound states with prescribed mass and bounded Morse index.

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紧度量图上的L^2 -超临界NLS方程的归一化解

研究紧度量图上质量-超临界非线性Schr\ odinger方程规定质量的非平凡束缚态的存在性。该研究基于将单调性技巧和二阶信息的最小-极大定理相结合的一般变分原理，以及对具有规定质量和有界莫尔斯指数的束缚态的爆破分析。

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

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