The relaxed energy for \(S^2\)-valued maps and measurable weights

DOI10.1016/j.anihpc.2005.02.003zbMath1130.49002OpenAlexW2062000012MaRDI QIDQ2490950

Vincent Millot

Publication date: 18 May 2006

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_2006__23_2_135_0

zbMATH Keywords

dipole removing techniquelower bound of energy

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Existence theories for free problems in two or more independent variables (49J10)

Related Items (1)

Energy with weight for \(S^2\)-valued maps with prescribed singularities

Cites Work

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• Theory and applications of liquid crystals
• Large solutions for harmonic maps in two dimensions
• A characterization of maps in \(H^ 1(B^ 3,S^ 2)\) which can be approximated by smooth maps
• Harmonic maps with defects
• Density of smooth functions between two manifolds in Sobolev spaces
• The approximation problem for Sobolev maps between two manifolds
• An introduction to \(\Gamma\)-convergence
• \(H^{1/2}\) maps with values into the circle: minimal connections, lifting, and the Ginzburg-Landau equation
• Energy with weight for \(S^2\)-valued maps with prescribed singularities

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