An existence and uniqueness result for orientation-reversing harmonic diffeomorphism from ${\mathbb{H}}_{\ast }^n$ to ${\mathbb{R}}_{\ast }^n$

Abstract

In this paper, we prove an existence and uniqueness theorem for orientation-reversing harmonic diffeomorphisms from ${\mathbb{H}}_{\ast }^n$ to ${\mathbb{R}}_{\ast }^n$ with rotational symmetry, which is a generalization of the corresponding result for dimension $2$.

References in corpus (1)

• A nonexistence result on harmonic diffeomorphisms between punctured spaces