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

Tilak Bhattacharya (2005)

Revista Matemática Complutense

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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 |x|.