Local Minimizers of the Magnetic Ginzburg-Landau Functional with S¹-valued Order Parameter on the Boundary

• Published in: Журнал математической физики, анализа, геометрии
• Date: 2014
• Main Author: Rybalko, V.
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2014
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/106788
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Local Minimizers of the Magnetic Ginzburg-Landau Functional with S¹-valued Order Parameter on the Boundary / V. Rybalko // Журнал математической физики, анализа, геометрии. — 2014. — Т. 10, № 1. — С. 134-151. — Бібліогр.: 23 назв. — англ.

It was shown in [L. Berlyand and V. Rybalko, Solution with Vortices of a Semi-Stiff Boundary Value Problem for the Ginzburg-Landau Equation, J. Eur. Math. Soc. 12 (2010), 1497{1531] that in doubly connected domains there exist local minimizers of the simplified Ginzburg-Landau functional with modulu...