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<p>We extend the findings of Araújo et al.(On free boundary problems shaped by oscillatory singularities, <a href="http://arxiv.org/abs/2401.08071">arXiv:2401.08071</a>) concerning free boundary problems involving varying singularities to the degenerate scenario, establishing fine geometric properties for minimizers under minimal assumptions on the oscillatory exponent.</p>

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Degenerate free boundary problems with oscillatory singularities

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年3月19日

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  • Aelson Sobral,
  • Eduardo V. Teixeira,
  • José Miguel Urbano

摘要

We extend the findings of Araújo et al.(On free boundary problems shaped by oscillatory singularities, arXiv:2401.08071) concerning free boundary problems involving varying singularities to the degenerate scenario, establishing fine geometric properties for minimizers under minimal assumptions on the oscillatory exponent.