15 January 2002 Energy quantization for harmonic maps
Fang-Hua Lin, Tristan Rivière
Duke Math. J. 111(1): 177-193 (15 January 2002). DOI: 10.1215/S0012-7094-02-11116-8

Abstract

In this paper we establish the higher-dimensional energy bubbling results for harmonic maps to spheres. We have shown in particular that the energy density of concentrations has to be the sum of energies of harmonic maps from the standard 2-dimensional spheres. The result also applies to the structure of tangent maps of stationary harmonic maps at either a singularity or infinity.

Citation

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Fang-Hua Lin. Tristan Rivière. "Energy quantization for harmonic maps." Duke Math. J. 111 (1) 177 - 193, 15 January 2002. https://doi.org/10.1215/S0012-7094-02-11116-8

Information

Published: 15 January 2002
First available in Project Euclid: 18 June 2004

zbMATH: 1014.58008
MathSciNet: MR1876445
Digital Object Identifier: 10.1215/S0012-7094-02-11116-8

Subjects:
Primary: 58E20

Rights: Copyright © 2002 Duke University Press

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Vol.111 • No. 1 • 15 January 2002
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