Stable stationary harmonic maps to spheres

DOI10.1007/s10114-005-0673-7zbMath1121.58017OpenAlexW2029610462MaRDI QIDQ2508544

Changyou Wang, Fang-Hua Lin

Publication date: 13 October 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0673-7

zbMATH Keywords

Hausdorff dimensionsingular setstable-stationary harmonic map

Mathematics Subject Classification ID

Variational methods for elliptic systems (35J50) Harmonic maps, etc. (58E20)

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Cites Work

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• The singular set of an energy minimizing map from \(B^ 4\) to \(S^ 2\)
• Regularity of minimizing harmonic maps into the sphere
• A regularity theory for harmonic maps
• A monotonicity formula for Yang-Mills fields
• Homotopy classes in Sobolev spaces and the existence of energy minimizing maps
• Singularities of energy minimizing maps from the ball to the sphere: Examples, counterexamples, and bounds
• Stability of singularities of minimizing harmonic maps
• Mapping problems, fundamental groups and defect measures
• Gradient estimates and blow-up analysis for stationary harmonic maps
• Rectifiability of the singular set of energy minimizing maps
• On the singular set of stable-stationary harmonic maps
• Singular points of harmonic maps from 4-dimensional domains into 3-spheres
• A Report on Harmonic Maps

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