arXiv Open Access 2026

On Courant-like bound for Neumann domain count

Aleksei Kislitsyn

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Abstrak

In this work we show that in general there is no Courant-like bound for Neumann domain count. In order to do that we construct a sequence of domains $Ω^n$ such that the first Dirichlet eigenfunction for $Ω^n$ has at least $n$ Neumann domains. Also a special case of convex domains is considered and sufficient conditions for existence of Courant-like bound for small eigenvalues are found.

Topik & Kata Kunci

math.SP

Penulis (1)

Aleksei Kislitsyn

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APA MLA BibTeX

Kislitsyn, A. (2026). On Courant-like bound for Neumann domain count. https://arxiv.org/abs/2603.26279

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Informasi Jurnal

Tahun Terbit: 2026
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓