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arXiv · 2501.16667

Asymptotic expansion at infinity of solutions to Monge-Amp\`{e}re equation with $C^\alpha$ right term

Shuai Qi·Jiguang Bao
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Abstract

We develop a non-local method to establish the asymptotic expansion at infinity of solutions to Monge-Amp\`{e}re equation $\det(D^2v)=f$ on $\rn$, where $f$ is a perturbation of $1$ and is only assumed to be H\"{o}lder continuous outside a bounded subset of $\rn$, compared to the previous work that $f$ is at least $C^2$.

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Shuai Qi, Jiguang Bao. 2025-01-28. Asymptotic expansion at infinity of solutions to Monge-Amp\`{e}re equation with $C^\alpha$ right term. https://arxiv.org/abs/2501.16667

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