Geodesic
Local Minimizers of the Magnetic Ginzburg–Landau Functional with $S^1$-valued Order Parameter on the Boundary
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 10 (2014) no. 1, pp. 134-151 Cet article a éte moissonné depuis la source Math-Net.Ru

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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 modulus one and prescribed degrees on the boundary, unlike global minimizers that typically do not exist. We generalize the results and techniques of the aforementioned paper to the case of the magnetic Ginzburg–Landau functional. 
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V. Rybalko. Local Minimizers of the Magnetic Ginzburg–Landau Functional with $S^1$-valued Order Parameter on the Boundary. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 10 (2014) no. 1, pp. 134-151. http://geodesic.mathdoc.fr/item/JMAG_2014_10_1_a4/

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