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Estimates of variational eigenvalues on metric measure spaces

Analysis of PDEs 2025-05-06 v1

Abstract

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

Keywords

Cite

@article{arxiv.2505.02617,
  title  = {Estimates of variational eigenvalues on metric measure spaces},
  author = {Prashanta Garain and Alexander Ukhlov},
  journal= {arXiv preprint arXiv:2505.02617},
  year   = {2025}
}

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10 pages