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arXiv · 2312.01405

The Monge-Amp\`ere equation in cones and polygonal domains

Genggeng Huang·Weiming Shen
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Abstract

We study asymptotic behaviors of solutions to the Monge-Amp\`ere equation in cones and use the expansion as a tool to study the regularity of solutions in polygonal domains.

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Genggeng Huang, Weiming Shen. 2023-12-03. The Monge-Amp\`ere equation in cones and polygonal domains. https://arxiv.org/abs/2312.01405

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