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- W4287605578 abstract "In this article we derive the expression of textit{renormalized energies} for unit-valued harmonic maps defined on a smooth bounded domain in (mathbb{R}^2) whose boundary has several connected components. The notion of renormalized energies was introduced by Bethuel-Brezis-H'elein in order to describe the position of limiting Ginzburg-Landau vortices in simply connected domains. We show here, how a non-trivial topology of the domain modifies the expression of the renormalized energies. We treat the case of Dirichlet boundary conditions and Neumann boundary conditions as well." @default.
- W4287605578 created "2022-07-25" @default.
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- W4287605578 date "2020-11-05" @default.
- W4287605578 modified "2023-10-17" @default.
- W4287605578 title "Renormalized energies for unit-valued harmonic maps in multiply connected domains" @default.
- W4287605578 doi "https://doi.org/10.48550/arxiv.2011.02992" @default.
- W4287605578 hasPublicationYear "2020" @default.
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