A remark on multiplicity of solutions for the Ginzburg-Landau equation

Feng Zhou; Qing Zhou

doi:10.1016/S0294-1449(99)80014-6

A remark on multiplicity of solutions for the Ginzburg-Landau equation

Feng Zhou^*
, Qing Zhou

^*此作品的通讯作者

数学科学学院

科研成果: 期刊稿件 › 文章 › 同行评审

9 引用（Scopus）

摘要

In this paper we study the structure of certain level set of the Ginzburg-Landau functional which has similar topology with the configuration space. As an application, we generalize Almeida-Bethuel's result on multiplicity of solutions for the Ginzburg-Landau equation.

源语言	英语
页（从-至）	255-267
页数	13
期刊	Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire
卷	16
期	2
DOI	https://doi.org/10.1016/S0294-1449(99)80014-6
出版状态	已出版 - 1999

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10.1016/S0294-1449(99)80014-6

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abstract = "In this paper we study the structure of certain level set of the Ginzburg-Landau functional which has similar topology with the configuration space. As an application, we generalize Almeida-Bethuel's result on multiplicity of solutions for the Ginzburg-Landau equation.",

keywords = "Ginzburg-Landau equation, Ljusternik-Schnirelman theory, Renormalized energy",

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KW - Ginzburg-Landau equation

KW - Ljusternik-Schnirelman theory

KW - Renormalized energy

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U2 - 10.1016/S0294-1449(99)80014-6

DO - 10.1016/S0294-1449(99)80014-6

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SN - 0294-1449

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A remark on multiplicity of solutions for the Ginzburg-Landau equation

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