RELAXING THE DIRICHLET ENERGY FOR MAPS INTO S2 IN HIGH DIMENSIONS

DOI10.1142/S0219199702000683zbMath1012.58013MaRDI QIDQ3153743

Mohammad Reza Pakzad

Publication date: 6 June 2003

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

zbMATH Keywords

Dirichlet energy

Mathematics Subject Classification ID

Harmonic maps, etc. (58E20)

Related Items (1)

On the minimizers of the relaxed energy functional of mappings from higher dimensional balls into \(S^{2}\)

Cites Work

• A characterization of maps in \(H^ 1(B^ 3,S^ 2)\) which can be approximated by smooth maps
• A regularity theory for harmonic maps
• Harmonic maps with defects
• Regularity of minimizers of relaxed problems for harmonic maps
• The approximation problem for Sobolev maps between two manifolds
• A remark on \(H^ 1\) mappings
• Energy gap phenomenon and the existence of infinitely many weakly harmonic maps for the Dirichlet problem
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