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<p>In the article, we study variational eigenvalues on doubling metric measure spaces. We prove the existence of minimizers of variational Neumann (<i>p</i>,&#xa0;<i>q</i>)-eigenvalues on metric measure spaces, and on this base, we obtain estimates of Neumann eigenvalues.</p>

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ESTIMATES OF VARIATIONAL EIGENVALUES ON METRIC MEASURE SPACES

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年9月3日

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  • Prashanta Garain,
  • Alexander Ukhlov

摘要

In the article, we study variational eigenvalues on doubling metric measure spaces. We prove the existence of minimizers of variational Neumann (p, q)-eigenvalues on metric measure spaces, and on this base, we obtain estimates of Neumann eigenvalues.