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

• Autores: T. Bhattacharya
• Localización: Pacific journal of mathematics, ISSN 0030-8730, Vol. 219, Nº 2, 2005, págs. 237-254
• Idioma: inglés
• DOI: 10.2140/pjm.2005.219.237
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• Resumen

  • 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.