The Dirichlet problem for harmonic maps from the disc into the 2-sphere
Alain Soyeur · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 1989
Synopsis We consider the Dirichlet problem for harmonic maps from the discD2into the sphereS2, with prescribed boundary values γ:∂D2→S2, and we prove that if γ is not a rational function, one can find infinitely many nonhomotopic harmonic maps which agree with γon ∂D2.