On a minimization problem related to lifting of BV functions with values in \(S^1\)

DOI10.1016/j.crma.2004.09.030zbMath1058.49022OpenAlexW2023365997MaRDI QIDQ1764093

Arkady Poliakovsky

Publication date: 23 February 2005

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2004.09.030

zbMATH Keywords

minimizersliftingintegral functionalfunctions of bounded variation

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Variational methods for second-order elliptic equations (35J20) Optimality conditions for free problems in two or more independent variables (49K10)

Related Items

Distances between classes in \(W^{1,1}(\Omega ;{\mathbb {S}}^{1})\), The Plateau problem from the perspective of optimal transport

Cites Work

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• Lifting of BV functions with values in \(S^1\)
• The space \(\operatorname{BV}(S^2,S^1)\): minimal connection and optimal lifting