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arxiv: 1308.4422 · v1 · submitted 2013-08-20 · 🧮 math.SP

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On Pleijel's nodal domain theorem

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keywords nodalpleijeldensitydiscsdomaindomainsestimateexploiting
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A slight improvement of Pleijel's estimate on the number of nodal domains is obtained, exploiting a refinement of the Faber-Krahn inequality and packing density of discs.

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