Uniqueness and nonuniqueness of $p$-harmonic Green functions on weighted ${\mathbf{R}}^n$ and metric spaces

Anders Björn, Jana Björn, Sylvester Eriksson-Bique +1

We study uniqueness of $p$-harmonic Green functions in domains $\Omega$ in a complete metric space equipped with a doubling measure supporting a $p$-Poincaré inequality, with $1<p<\inft…