Resumen de On the behaviour of 8-harmonic functions on some special unbounded domains

T. Bhattacharya

• We study nonnegative 1-harmonic functions dened on unbounded domains, in particular the half-space and the exterior of the unit closed ball. We prove that if such a function u vanishes continuously on the boundary then in the rst case u is ane, and in the second case u is radial and linear. We also discuss growth rates in an innite strip.