An overview on the Cheeger problem
By Gian Paolo Leonardi. 2015
76 citations recorded by the source corpus.
This is an expository article presenting various results about the Cheeger problem and its connections with other relevant mathematical problems. In section 2 we synthetically describe three mathematical problems (eigenvalue estimates, prescribed mean curvature equation, ROF model for image segmentation) focusing on their link with the Cheeger problem. Then, a selection of classical as well as more recent results obtained in collaboration with Aldo Pratelli will be described in the remaining sections.
Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/e1936935998a58abc76a865d5cbe29680ddbfb7c
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In Applied Mathematics
- Gian Paolo Leonardi
- Aldo Pratelli
- N. Fusco
- Alessio Figalli
- Francesco Maggi
- Lorenzo Brasco
- Y. Zhang
- Guido De Philippis
In Computational Theory and Mathematics
In Mathematical Physics
Citations in the corpus
- On the Cheeger sets in strips and non-convex domains (2014, background): “The interested reader can look for instance [4, 5, 6, 8, 9, 14, 26], where further applications, developments and extensions of the Cheeger problem are considered (see also the survey paper [19]).”