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Energy quantization for harmonic maps
Fang-Hua Lin, Tristan Rivière
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Source: Crossref
Published: Jan 15, 2002
DOI: 10.1215/s0012-7094-02-11116-8
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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.
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