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arXiv · 1903.00775

Infinity harmonic functions over exterior domains

Guanghao Hong·Yizhen Zhao
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Abstract

In this paper, we study the infinity harmonic functions with linear growth rate at infinity defined on exterior domains. We show that such functions must be asymptotic to planes or cones at infinity. We also establish the solvability of Dirichlet problems for exterior domains.

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Guanghao Hong, Yizhen Zhao. 2019-03-02. Infinity harmonic functions over exterior domains. https://arxiv.org/abs/1903.00775

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