A new approximation of relaxed energies for harmonic maps and the Faddeev model

Giaquinta, Mariano, Hong, Min-Chun and Yin, Hao (2011) A new approximation of relaxed energies for harmonic maps and the Faddeev model. Calculus of Variations and Partial Differential Equations, 41 1-2: 45-69. doi:10.1007/s00526-010-0353-z

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Author Giaquinta, Mariano
Hong, Min-Chun
Yin, Hao
Title A new approximation of relaxed energies for harmonic maps and the Faddeev model
Journal name Calculus of Variations and Partial Differential Equations   Check publisher's open access policy
ISSN 0944-2669
1432-0835
Publication date 2011-05
Year available 2010
Sub-type Article (original research)
DOI 10.1007/s00526-010-0353-z
Open Access Status
Volume 41
Issue 1-2
Start page 45
End page 69
Total pages 25
Place of publication Heidelberg, Germany
Publisher Springer
Collection year 2012
Language eng
Formatted abstract
We propose a new approximation for the relaxed energy E of the Dirichlet energy and prove that the minimizers of the approximating functionals converge to a minimizer u of the relaxed energy, and that u is partially regular without using the concept of Cartesian currents. We also use the same approximation method to study the variational problem of the relaxed energy for the Faddeev model and prove the existence of minimizers for the relaxed energyF in the class of maps with Hopf degree ±1.
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ
Additional Notes Published online: 4 July 2010

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
Official 2012 Collection
 
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Created: Wed, 06 Jul 2011, 12:45:02 EST by Dr Min-chun Hong on behalf of School of Mathematics & Physics