Maximizers Beyond the Hemisphere for the Second Neumann Eigenvalue
Publication Date
2023
Description
The first positive Neumann eigenvalue of the Laplacian is shown to be maximal for a spherical cap among simply connected domains covering up to 94% of the 2-sphere. The previous best result, by Bandle, was 50%.
Journal
Mathematische Annalen
Volume
386
Issue
3-4
First Page
2255
Last Page
2281
Department
Mathematics
Link to Published Version
https://link.springer.com/article/10.1007/s00208-022-02455-z
DOI
https://doi.org/10.1007/s00208-022-02455-z
Recommended Citation
Langford, Jeffrey J. and Laugesen, Richard. "Maximizers Beyond the Hemisphere for the Second Neumann Eigenvalue." (2023) : 2255-2281.
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