TY - JOUR
T1 - Maximizers beyond the hemisphere for the second Neumann eigenvalue
AU - Langford, Jeffrey J.
AU - Laugesen, Richard S.
N1 - Publisher Copyright:
© 2022, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.
PY - 2023/8
Y1 - 2023/8
N2 - 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 %.
AB - 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 %.
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U2 - 10.1007/s00208-022-02455-z
DO - 10.1007/s00208-022-02455-z
M3 - Article
AN - SCOPUS:85136238764
SN - 0025-5831
VL - 386
SP - 2255
EP - 2281
JO - Mathematische Annalen
JF - Mathematische Annalen
IS - 3-4
ER -