On Pleijel's Nodal Domain Theorem

By Jean Bourgain. 2013

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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.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/baf7489d20832f4ba4b89443148a22ea3cee5291