On montre une inégalité de Cheeger pour la première valeur propre de Steklov. Elle fait intervenir deux constantes isopérimétriques.
We prove a Cheeger inequality for the first positive Steklov eigenvalue. It involves two isoperimetric constants.
Mot clés : inégalité de Cheeger, spectre de Steklov
Keywords: Cheeger inequality, Steklov eigenvalues.
@article{AIF_2015__65_3_1381_0, author = {Jammes, Pierre}, title = {Une in\'egalit\'e de {Cheeger} pour le spectre de {Steklov}}, journal = {Annales de l'Institut Fourier}, pages = {1381--1385}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {65}, number = {3}, year = {2015}, doi = {10.5802/aif.2960}, language = {fr}, url = {http://www.numdam.org/articles/10.5802/aif.2960/} }
TY - JOUR AU - Jammes, Pierre TI - Une inégalité de Cheeger pour le spectre de Steklov JO - Annales de l'Institut Fourier PY - 2015 SP - 1381 EP - 1385 VL - 65 IS - 3 PB - Association des Annales de l’institut Fourier UR - http://www.numdam.org/articles/10.5802/aif.2960/ DO - 10.5802/aif.2960 LA - fr ID - AIF_2015__65_3_1381_0 ER -
%0 Journal Article %A Jammes, Pierre %T Une inégalité de Cheeger pour le spectre de Steklov %J Annales de l'Institut Fourier %D 2015 %P 1381-1385 %V 65 %N 3 %I Association des Annales de l’institut Fourier %U http://www.numdam.org/articles/10.5802/aif.2960/ %R 10.5802/aif.2960 %G fr %F AIF_2015__65_3_1381_0
Jammes, Pierre. Une inégalité de Cheeger pour le spectre de Steklov. Annales de l'Institut Fourier, Tome 65 (2015) no. 3, pp. 1381-1385. doi : 10.5802/aif.2960. http://www.numdam.org/articles/10.5802/aif.2960/
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