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
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
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