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The Cheeger constant of curved tubes

Published:2019-01-19 Issue:4 Volume:112 Page:429-436
ISSN:0003-889X
Container-title:Archiv der Mathematik
language:en
Short-container-title:Arch. Math.

Author:

Krejčiřík David,Leonardi Gian Paolo,Vlachopulos Petr

Funder

Grantová Agentura České Republiky

Fundação para a Ciência e a Tecnologia

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s00013-018-1282-x.pdf

Reference18 articles.

1. Anoop, T.V., Bobkov, V., Sasi, S.: On the strict monotonicity of the first eigenvalue of the $$p$$ p -Laplacian on annuli. Trans. Am. Math. Soc. 370, 7181–7199 (2018)

2. Bellettini, G., Caselles, V., Novaga, M.: The total variation flow in $$\mathbb{R}^N$$ R N . J. Differ. Equ. 184, 475–525 (2002)

3. Bishop, R.L.: There is more than one way to frame a curve. Am. Math. Monthly 82, 246–251 (1975)

4. Bueno, H., Ercole, G.: Solutions of the Cheeger problem via torsion functions. J. Math. Anal. Appl. 381, 263–279 (2011)

5. Demengel, F.: Functions locally almost 1-harmonic. Appl. Anal. 83, 865–896 (2004)

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1. The Role of Topology and Capacity in Some Bounds for Principal Frequencies;The Journal of Geometric Analysis;2024-07-29

2. Isoperimetric Sets and p-Cheeger Sets are in Bijection;The Journal of Geometric Analysis;2023-02-10

3. Cheeger Sets for Rotationally Symmetric Planar Convex Bodies;Results in Mathematics;2021-11-06

4. Adams’ trace principle in Morrey–Lorentz spaces on β-Hausdorff dimensional surfaces;Annales Fennici Mathematici;2021

5. On the Cheeger problem for rotationally invariant domains;manuscripta mathematica;2020-11-13

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