Harmonic maps from the product of the hyperbolic planes to the hyperbolic space
Kazuo Akutagawa, Yoshihiko Matsumoto
Published: 2025/8/29
Abstract
An existence result is shown for the asymptotic Dirichlet problem for harmonic maps from the product of the hyperbolic planes to the hyperbolic space, where the Dirichlet data is given on the distinguished boundary (the product of the circles at infinity).