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S1-Valued Harmonic Maps with High Topological Degree: Asymptotic Behavior of the Singular Set |
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| Authors: | Sandier E. Soret M. |
| Affiliation: | (1) département de Mathématiques, Université F. Rabelais, 37200 Tours, France;(2) département de Mathématiques, Université F. Rabelais, 37200 Tours, France |
| Abstract: | We prove that the singularities of harmonic maps from a domain D in the plane to S1 minimizing a renomalized energy tend to go to the boundary when their number becomes large. |
| Keywords: | harmonic maps singularities renormalized energies Ginzburg– Landau functionals |
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