2005 Symmetry breaking for the Dirichlet problem for harmonic maps from the disc into the 2-sphere
Morgan Pierre
Adv. Differential Equations 10(6): 675-694 (2005). DOI: 10.57262/ade/1355867839

Abstract

We study the relations between symmetry and degree for the Dirichlet problem for harmonic maps from the disc into the $2$-sphere. This allows us to exhibit multiple solutions in many homotopy classes for a wide range of boundary values with symmetries.

Citation

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Morgan Pierre. "Symmetry breaking for the Dirichlet problem for harmonic maps from the disc into the 2-sphere." Adv. Differential Equations 10 (6) 675 - 694, 2005. https://doi.org/10.57262/ade/1355867839

Information

Published: 2005
First available in Project Euclid: 18 December 2012

zbMATH: 1101.58014
MathSciNet: MR2133649
Digital Object Identifier: 10.57262/ade/1355867839

Subjects:
Primary: 58E20
Secondary: 53C43

Rights: Copyright © 2005 Khayyam Publishing, Inc.

Vol.10 • No. 6 • 2005
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