Energy quantization for harmonic maps

Fang H. Lin, Tristan Rivière

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish (US)
Pages (from-to)177-193
Number of pages17
JournalDuke Mathematical Journal
Volume111
Issue number1
DOIs
StatePublished - 2002

ASJC Scopus subject areas

  • Mathematics(all)

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