A note on non-negative singular infinity-harmonic functions in the half-space

• Autores: T. Bhattacharya
• Localización: Revista matemática complutense, ISSN-e 1988-2807, ISSN 1139-1138, Vol. 18, Nº 2, 2005, págs. 377-385
• Idioma: inglés
• DOI: 10.5209/rev_rema.2005.v18.n2.16682
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• Resumen

  • In this work we study non-negative singular infinity-harmonic functions in the half-space. We assume that solutions blow-up at the origin while vanishing at infinity and on a hyperplane. We show that blow-up rate is of the order .