Some properties of the extreme values of infinity-harmonic functions.

Bhattacharya, Tilak

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

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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|.

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