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Referencias:

• Alter, F., Caselles, V., Uniqueness of the Cheeger set of a convex body (2009) Nonlin. Anal., 70, pp. 32-44
• Ambrosio, L., Fusco, N., Pallara, D., (2000) Functions of Bounded Variation and Free Discontinuity Problems, , Oxford University Press
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• Cheeger, J., (1970) A Lower Bound for the Smallest Eigenvalue of the Laplacian, Problems in Analysis: A Symposium in Honor of Salomon Bochner, pp. 195-199
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• Garcia Melian, J., Sabina De Lis, J., On the perturbation of eigenvalues for the p-Laplacian (2001) C.R. Acad. Sci. Paris, 332, pp. 893-898
• Giusti, E., Minimal surfaces and functions of bounded variation (1984) Monogr. Math., 80. , Birkhäuser Verlag, Basel
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• Henrot, A., Pierre, M., (2005) Variation et Optimisation de Formes, , Springer
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• Kawohl, B., Lachand-Robert, T., Characterization of Cheeger sets for convex subsets of the plane (2006) Pacific J. Math., 225, pp. 103-118
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• Navarro, J.C., Rossi, J.D., Saintier, N., San Antolin, A., The dependence of the first eigenvalue of the ∞-Laplacian with respect to the domain (2014) Glasg. Math. J., 56, pp. 241-249
• Parini, E., An introduction to the Cheeger problem (2011) Surveys Math. Appl., 6, pp. 9-22
• Rossi, J.D., Saintier, N., On the 1 st eigenvalue of the ∞-Laplacian with Neumann boundary conditions Houston J
• Saintier, N., Estimates of the best Sobolev constant of the embedding of BV (Ω) into L 1 (∂Ω) and related shape optimization problems (2008) Nonlinear Anal, 69, pp. 2479-2491
• Stredulinsky, E., Ziemer, W.P., Area minimizing sets subject to a volume constraint in a convex set (1997) J. Geom. Anal., 7, pp. 653-677

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