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<p>We establish an asymptotic on rings for the eigenfunctions of a subelliptic Helmholtz equation with mixed homogeneities. Our result is optimal in the limiting situation when the relevant operator becomes the Laplacian.</p>

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A Rellich type estimate for a subelliptic Helmholtz equation with mixed homogeneities

  • 期刊论文

  • 发表日期：

    2025年11月12日

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  • Agnid Banerjee,
  • Nicola Garofalo

摘要

We establish an asymptotic on rings for the eigenfunctions of a subelliptic Helmholtz equation with mixed homogeneities. Our result is optimal in the limiting situation when the relevant operator becomes the Laplacian.