BOUNDARY-VALUE-PROBLEMS OF THE GINZBURG-LANDAU EQUATIONS

被引：20

作者：

YANG, YS ^{[1
]}

机构：

[1] UNIV MASSACHUSETTS,DEPT MATH & STAT,AMHERST,MA 01003

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 1990年 / 114卷

关键词：

D O I：

10.1017/S0308210500024471

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a domain Ω in the Euclidean space Rd (d = 2, 3) existence of weak solutions for both interior and exterior Dirichlet boundary value problems of the Ginzburg-Landau equations are established without any restriction on the range of the coupling constant λ, the size of Ω, or the boundary data. For the critical choice λ = 1, we prove the existence of confined multivortices in a bounded domain by a constructive monotone iteration method. © 1990, Royal Society of Edinburgh. All rights reserved.

引用

页码：355 / 365

页数：11

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