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<p>An integral inequality is derived for compact submanifolds (with or without boundary) in the unit sphere. This result leads to a characterization of spheres.</p>

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Optimal lower estimate for the first eigenvalue of the p-Laplacian in the Euclidean sphere

  • 期刊论文

  • 发表日期：

    2025年2月18日

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  • Fábio R. dos Santos,
  • Matheus N. Soares

摘要

An integral inequality is derived for compact submanifolds (with or without boundary) in the unit sphere. This result leads to a characterization of spheres.