A variational approach to S1-harmonic maps and applications
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Date
2023-12-01
Publication Type
Journal Article
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Abstract
We present a renormalization procedure for the Dirichlet Lagrangian for maps from surfaces with or without boundary into S1, whose finite energy critical points are the S1-harmonic maps with isolated singularities. We give some applications of this renormalization scheme in two different frameworks. The first application has to do with the renormalization of the Willmore energy for Lagrangian singular immersions into Kähler-Einstein surfaces while the second application is dealing with frame energies for surfaces immersions into Euclidian spaces.
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published
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Volume
285 (11)
Pages / Article No.
110147
Publisher
Elsevier
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Software
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Subject
Geometric analysis; Harmonic maps; Variational problems
Organisational unit
03600 - Rivière, Tristan / Rivière, Tristan