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

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

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.

Original language	English
Pages (from-to)	255-267
Number of pages	13
Journal	Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire
Volume	16
Issue number	2
DOIs	https://doi.org/10.1016/S0294-1449(99)80014-6
State	Published - 1999

Keywords

Ginzburg-Landau equation
Ljusternik-Schnirelman theory
Renormalized energy

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10.1016/S0294-1449(99)80014-6

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title = "A remark on multiplicity of solutions for the Ginzburg-Landau equation",

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",

author = "Feng Zhou and Qing Zhou",

year = "1999",

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AU - Zhou, Qing

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AB - 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.

KW - Ginzburg-Landau equation

KW - Ljusternik-Schnirelman theory

KW - Renormalized energy

UR - https://www.scopus.com/pages/publications/0006805687

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

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

M3 - 文章

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SN - 0294-1449

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JO - Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire

JF - Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire

IS - 2

ER -

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

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Keywords

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