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arXiv · 2301.04383

quasiconformal mappings and a Bernstein type theorem over exterior domains in $\mathbb{R}^2$

Dongsheng Li·Rulin Liu
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Abstract

We establish the H\"{o}lder estimate and the asymptotic behavior at infinity for $K$-quasiconformal mappings over exterior domains in $\mathbb{R}^2$. As a consequence, we prove an exterior Bernstein type theorem for fully nonlinear uniformly elliptic equations of second order in $\mathbb{R}^2$.

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Dongsheng Li, Rulin Liu. 2023-01-11. quasiconformal mappings and a Bernstein type theorem over exterior domains in $\mathbb{R}^2$. https://arxiv.org/abs/2301.04383

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