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arXiv · 2102.08723

Asymptotic expansion at infinity of solutions of Monge-Amp\`ere type equations

Zixiao Liu·Jiguang Bao
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Abstract

We obtain a quantitative expansion at infinity of solutions for a kind of Monge-Amp\`ere type equations that origin from mean curvature equations of Lagrangian graph $(x,Du(x))$ and refine the previous study on zero mean curvature equations and the Monge-Amp\`ere equations.

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Zixiao Liu, Jiguang Bao. 2021-02-17. Asymptotic expansion at infinity of solutions of Monge-Amp\`ere type equations. https://doi.org/10.1016/j.na.2021.112450

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