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Regularity for quasi-minima of the Alt–Caffarelli functional

  • 期刊论文

  • 发表日期：

    2024年6月25日

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  • Daniel M. Pellegrino,
  • Eduardo V. Teixeira

摘要

We investigate regularity estimates of quasi-minima of the Alt–Caffarelli energy functional. We prove universal Hölder continuity of quasi-minima and optimal Lipchitz regularity along their free boundaries.