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An overview on the Cheeger problem

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.

preprint2015arXivOpen access
Gian Paolo Leonardi
math.OC
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Open access1 author1 topic
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Gian Paolo Leonardi

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