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$% T. Bhattacharya, A note on non-negative singular infinity-harmonic functions in the half-space, Rev. Mat. Complut. 18 (2005), no. 2, 377–385.%$

A Note on Non-Negative Singular Infinity-Harmonic Functions in the Half-Space

Tilak BHATTACHARYA
Department of Mathematics
Purdue University
W. Lafayette, IN 47907 — USA
tbhatta@math.purdue.edu

Received: January 5, 2005
Accepted: April 4, 2005
ABSTRACT

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 -1/3 |x| .

Key words: viscosity solutions, infinity-harmonic, singular.
2000 Mathematics Subject Classification: 35J70, 36A16.