Optimal lifting for BV \(( S^{1}, S^{1})\)

DOI10.1007/s00526-004-0291-8zbMath1069.49030OpenAlexW2018057468MaRDI QIDQ1776571

Radu Ignat

Publication date: 12 May 2005

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-004-0291-8

zbMATH Keywords

functions of bounded variationoptimal lifting

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Variational problems in a geometric measure-theoretic setting (49Q20) Absolutely continuous real functions of several variables, functions of bounded variation (26B30)

Related Items (3)

Global Jacobian and \(\Gamma\)-convergence in a two-dimensional Ginzburg-Landau model for boundary vortices ⋮ Lifting of \({\mathbb {RP}^{d-1}}\)-valued maps in \(BV\) and applications to uniaxial \(Q\)-tensors. With an appendix on an intrinsic \(BV\)-energy for manifold-valued maps ⋮ The total intrinsic curvature of curves in Riemannian surfaces

Cites Work

• Lifting of BV functions with values in \(S^1\)
• \(H^{1/2}\) maps with values into the circle: minimal connections, lifting, and the Ginzburg-Landau equation
• A General Chain Rule for Distributional Derivatives
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