The Cheeger constant as limit of Sobolev-type constants
Author:
Funder
Conselho Nacional de Desenvolvimento Científico e Tecnológico
Fundação de Apoio à Pesquisa do Distrito Federal
Fundação de Amparo à Pesquisa do Estado de Minas Gerais
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics
Link
https://link.springer.com/content/pdf/10.1007/s10231-023-01413-z.pdf
Reference11 articles.
1. Allegreto, W., Huang, Y.X.: A Picone’s identity for the $$p$$-Laplacian and applications. Nonlinear Anal. 32, 819–830 (1998)
2. Anello, G., Faraci, F., Iannizzotto, A.: On a problem of Huang concerning best constants in Sobolev embeddings. Ann. Mat. Pura Appl. 194, 67–779 (2015)
3. Brasco, L., Franzina, G.: Convexity properties of Dirichlet integrals and Picone-type inequalities. Kodai Math. J. 37, 769–799 (2014)
4. Brasco, L., Lindgren, E.: Uniqueness of extremals for some sharp Poincaré-Sobolev constants. Trans. Am. Math. Soc. 376, 3541–3584 (2023)
5. Bueno, H., Ercole, G.: Solutions of the Cheeger problem via torsion functions. J. Math. Anal. Appl. 381, 263–279 (2011)
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