Geodesic
Spectral ratios and gaps for Steklov eigenvalues of balls with revolution-type metrics
Canadian mathematical bulletin, Tome 68 (2025) no. 2, pp. 492-511

Voir la notice de l'article provenant de la source Cambridge

DOI

We investigate upper bounds for the spectral ratios and gaps for the Steklov eigenvalues of balls with revolution-type metrics. We do not impose conditions on the Ricci curvature or on the convexity of the boundary. We obtain optimal upper bounds for the Steklov spectral ratios in dimensions 3 and higher. In dimension 3, we also obtain optimal upper bounds for the Steklov spectral gaps. By imposing additional constraints on the metric, we obtain upper bounds for the Steklov spectral gaps in dimensions 4 and higher.
DOI : 10.4153/S0008439524000778
Mots-clés : Steklov eigenvalues, spectral gaps, spectral ratios 
Brisson, Jade; Colbois, Bruno; Gittins, Katie. Spectral ratios and gaps for Steklov eigenvalues of balls with revolution-type metrics. Canadian mathematical bulletin, Tome 68 (2025) no. 2, pp. 492-511. doi: 10.4153/S0008439524000778
@article{10_4153_S0008439524000778,
     author = {Brisson, Jade and Colbois, Bruno and Gittins, Katie},
     title = {Spectral ratios and gaps for {Steklov} eigenvalues of balls with revolution-type metrics},
     journal = {Canadian mathematical bulletin},
     pages = {492--511},
     year = {2025},
     volume = {68},
     number = {2},
     doi = {10.4153/S0008439524000778},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439524000778/}
}
TY  - JOUR
AU  - Brisson, Jade
AU  - Colbois, Bruno
AU  - Gittins, Katie
TI  - Spectral ratios and gaps for Steklov eigenvalues of balls with revolution-type metrics
JO  - Canadian mathematical bulletin
PY  - 2025
SP  - 492
EP  - 511
VL  - 68
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4153/S0008439524000778/
DO  - 10.4153/S0008439524000778
ID  - 10_4153_S0008439524000778
ER  - 
%0 Journal Article
%A Brisson, Jade
%A Colbois, Bruno
%A Gittins, Katie
%T Spectral ratios and gaps for Steklov eigenvalues of balls with revolution-type metrics
%J Canadian mathematical bulletin
%D 2025
%P 492-511
%V 68
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4153/S0008439524000778/
%R 10.4153/S0008439524000778
%F 10_4153_S0008439524000778

Cité par Sources :