Solutions of Ginzburg-Landau equations and critical points of the renormalized energy

Fang Hua Lin

doi:10.1016/S0294-1449(16)30152-4

Solutions of Ginzburg-Landau equations and critical points of the renormalized energy

Fang Hua Lin

Mathematics

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

Abstract

Here we establish some connection between solutions of Ginzburg-Landau equations and critical points of the renormalized energy W_g introduced in the recent works of Bethuel-Brezis and Helein. In particular, local nondegenerate minimums of W_g have their associated solutions of GL-equations.

Original language	English (US)
Pages (from-to)	599-622
Number of pages	24
Journal	Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire
Volume	12
Issue number	5
DOIs	https://doi.org/10.1016/S0294-1449(16)30152-4
State	Published - Sep 1 1995

ASJC Scopus subject areas

Analysis
Mathematical Physics
Applied Mathematics

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10.1016/S0294-1449(16)30152-4

Cite this

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abstract = "Here we establish some connection between solutions of Ginzburg-Landau equations and critical points of the renormalized energy Wg introduced in the recent works of Bethuel-Brezis and Helein. In particular, local nondegenerate minimums of Wg have their associated solutions of GL-equations.",

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AB - Here we establish some connection between solutions of Ginzburg-Landau equations and critical points of the renormalized energy Wg introduced in the recent works of Bethuel-Brezis and Helein. In particular, local nondegenerate minimums of Wg have their associated solutions of GL-equations.

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Solutions of Ginzburg-Landau equations and critical points of the renormalized energy

Abstract

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