A universal inequality for Neumann eigenvalues of the Laplacian on a convex domain in Euclidean space
Canadian mathematical bulletin, Tome 67 (2024) no. 1, pp. 222-226
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We obtain a new upper bound for Neumann eigenvalues of the Laplacian on a bounded convex domain in Euclidean space. As an application of the upper bound, we derive universal inequalities for Neumann eigenvalues of the Laplacian.
Mots-clés :
Neumann eigenvalues of the Laplacian, universal inequalities, convex domain
Funano, Kei. A universal inequality for Neumann eigenvalues of the Laplacian on a convex domain in Euclidean space. Canadian mathematical bulletin, Tome 67 (2024) no. 1, pp. 222-226. doi: 10.4153/S0008439523000735
@article{10_4153_S0008439523000735,
author = {Funano, Kei},
title = {A universal inequality for {Neumann} eigenvalues of the {Laplacian} on a convex domain in {Euclidean} space},
journal = {Canadian mathematical bulletin},
pages = {222--226},
year = {2024},
volume = {67},
number = {1},
doi = {10.4153/S0008439523000735},
url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439523000735/}
}
TY - JOUR AU - Funano, Kei TI - A universal inequality for Neumann eigenvalues of the Laplacian on a convex domain in Euclidean space JO - Canadian mathematical bulletin PY - 2024 SP - 222 EP - 226 VL - 67 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/S0008439523000735/ DO - 10.4153/S0008439523000735 ID - 10_4153_S0008439523000735 ER -
%0 Journal Article %A Funano, Kei %T A universal inequality for Neumann eigenvalues of the Laplacian on a convex domain in Euclidean space %J Canadian mathematical bulletin %D 2024 %P 222-226 %V 67 %N 1 %U http://geodesic.mathdoc.fr/articles/10.4153/S0008439523000735/ %R 10.4153/S0008439523000735 %F 10_4153_S0008439523000735
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