Displaying similar documents to “Multiple solutions of the Dirichlet problem for harmonic maps from discs into 2-spheres.”

Infinite dimension of solutions of the Dirichlet problem

Vladimir Ryazanov (2015)

Open Mathematics

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It is proved that the space of solutions of the Dirichlet problem for the harmonic functions in the unit disk with nontangential boundary limits 0 a.e. has the infinite dimension.