The space \(\operatorname{BV}(S^2,S^1)\): minimal connection and optimal lifting

DOI10.1016/j.anihpc.2004.07.003zbMath1083.49030OpenAlexW1970435269MaRDI QIDQ2485737

Radu Ignat

Publication date: 5 August 2005

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_2005__22_3_283_0

zbMATH Keywords

functions of bounded variationminimal connectionoptimal lifting

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Implicit function theorems, Jacobians, transformations with several variables (26B10) Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Manifolds of mappings (58D15)

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Cites Work

• Harmonic maps with defects
• Lifting of BV functions with values in \(S^1\)
• On some infinite sums of integer valued Dirac's masses
• \(H^{1/2}\) maps with values into the circle: minimal connections, lifting, and the Ginzburg-Landau equation
• Relaxed energies for functionals on W1,1(B2, S1)
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