Abstract
Let G be a smooth, bounded and simply connected domain in ℝ2, and let ω i for i = 1,..., n, be open, smooth and simply connected subsets of G, with \( \overline {{\omega_i}} \subset G \) and \({\bar \omega _i} \cap {\bar \omega _j} = 0\). Let \( \Omega = G\backslash \mathop{ \cup }\limits_{{i = 1}}^n \overline {{\omega_i}} \) Consider the class of maps
where \( {d_i} \in Z \) are given and \( d = \sum\limits_{{i = 1}}^n {{d_i}} \).
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© 1994 Springer Science+Business Media New York
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Bethuel, F., Brezis, H., Hélein, F. (1994). Energy estimates for S1-valued maps. In: Ginzburg-Landau Vortices. Progress in Nonlinear Differential Equations and Their Applications, vol 13. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0287-5_1
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DOI: https://doi.org/10.1007/978-1-4612-0287-5_1
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-0-8176-3723-1
Online ISBN: 978-1-4612-0287-5
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