Biharmonic functions on spheres and hyperbolic spaces

Abstract

We construct new explicit proper r-harmonic functions on the standard n-dimensional sphere S^n and hyperbolic space H^n for any r\ge 1 and n\ge 2.

Cited by in corpus (3)

• Proper $r$-harmonic functions on the Thurston geometries
• Explicit p-harmonic functions on rank-one Lie groups of Iwasawa type
• $p$-Harmonic and Complex Isoparametric Functions on the Lie Groups ${\mathbb{R}}^m⋉{\mathbb{R}}^n$ and ${\mathbb{R}}^m⋉{\mathrm{H}}^{2n+1}$