Isoperimetric sets and \(p\)-Cheeger sets are in bijection
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Publication:2688861
DOI10.1007/s12220-022-01157-xOpenAlexW4319941953MaRDI QIDQ2688861
Giorgio Saracco, Marco Caroccia
Publication date: 6 March 2023
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2207.02044
Estimates of eigenvalues in context of PDEs (35P15) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Optimization of shapes other than minimal surfaces (49Q10)
Cites Work
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- On the Cheeger sets in strips and non-convex domains
- The Cheeger constant of curved strips
- On the generalized Cheeger problem and an application to 2d strips
- Cheeger \(N\)-clusters
- The quantitative isoperimetric inequality and related topics
- Some remarks on uniqueness and regularity of Cheeger sets
- Area minimizing sets subject to a volume constraint in a convex set
- The Cheeger constant of a Jordan domain without necks
- The Cheeger constant of curved tubes
- A characterization of convex calibrable sets in \(\mathbb R^N\)
- On the Cheeger inequality for convex sets
- Dimensional lower bounds for contact surfaces of Cheeger sets
- The isoperimetric problem in 2d domains without necks
- Cheeger sets for rotationally symmetric planar convex bodies
- Characterization of Cheeger sets for convex subsets of the plane
- On the Cheeger problem for rotationally invariant domains
- A note on the stability of the Cheeger constant of $N$-gons
- A sharp lower bound on the polygonal isoperimetric deficit
- Sets of Finite Perimeter and Geometric Variational Problems
- Reverse Cheeger inequality for planar convex sets
- An Overview on the Cheeger Problem
- A note on Cheeger sets
- Isoperimetric constants and some lower bounds for the eigenvalues of the P-laplacian
- On the higher Cheeger problem
- The Cheeger N-problem in terms of BV functions
- A sufficient criterion to determine planar self-Cheeger sets
- Minimizers of the prescribed curvature functional in a Jordan domain with no necks
- Uniqueness of the Cheeger set of a convex body
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