On the uniqueness of minimisers of Ginzburg-Landau functionals: Sur l'unicité des minimiseurs de la fonctionnelle de Ginzburg-Landau

We provide necessary and sufficient conditions for the uniqueness of minimisers of the Ginzburg-Landau functional for Rn-valued maps under a suitable convexity assumption on the potential and for H1/2 ∩ L1 boundary data that is non-negative in a fixed direction e ∈ Sn−1. Furthermore, we show that, w...

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Detalhes bibliográficos
Main Authors: Ignat, R, Nguyen, L, Slastikov, V, Zarnescu, A
Formato: Journal article
Idioma:English
Publicado em: Société Mathématique de France 2020