A note on Biharmonic functions on the Thurston geometries

Abstract

We construct new explicit proper biharmonic functions on the $3$-dimensional Thurston geometries $\Sol$, $\Nil$, $\SL2$, $H^2\times\rn$ and $S^2\times\rn$.

Cited by in corpus (2)

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