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<p>We study asymptotic behaviors of solutions to the Monge-Ampère equation in cones and use the expansion as a tool to study the regularity of solutions in polygonal domains.</p>

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The Monge-Ampère equation in cones and polygonal domains

  • 期刊论文

  • 发表日期：

    2025年3月24日

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  • Genggeng Huang,
  • Weiming Shen

摘要

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