Area minimizing sets subject to a volume constraint in a convex set
From MaRDI portal
Publication:1298377
DOI10.1007/BF02921639zbMath0940.49025arXivmath/9811046MaRDI QIDQ1298377
William P. Ziemer, Edward W. Stredulinsky
Publication date: 24 July 2000
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9811046
Variational problems in a geometric measure-theoretic setting (49Q20) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Optimization of shapes other than minimal surfaces (49Q10) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)
Related Items (35)
Domain separation by means of sign changing eigenfunctions ofp-laplacians ⋮ The relative isoperimetric inequality outside convex domains in \(\mathbb{R}^{n}\) ⋮ Isoperimetric inequalities in unbounded convex bodies ⋮ Existence and characterization of regions minimizing perimeter under a volume constraint inside Euclidean cones ⋮ An Overview on the Cheeger Problem ⋮ On the Cheeger problem for rotationally invariant domains ⋮ Inner-Cheeger Opening and Applications ⋮ Bump solutions for the mesoscopic Allen-Cahn equation in periodic media ⋮ The Cheeger constant of a Jordan domain without necks ⋮ Regularity in shape optimization under convexity constraint ⋮ Total positive curvature and the equality case in the relative isoperimetric inequality outside convex domains ⋮ A sufficient criterion to determine planar self-Cheeger sets ⋮ The optimal Hölder exponent in Massari's regularity theorem ⋮ Isoperimetric sets and \(p\)-Cheeger sets are in bijection ⋮ Optimal divisions of a convex body ⋮ On the honeycomb conjecture for Robin Laplacian eigenvalues ⋮ A characterization of convex calibrable sets in \(\mathbb R^N\) with respect to anisotropic norms ⋮ Isoperimetric inequalities in convex cylinders and cylindrically bounded convex bodies ⋮ Cheeger sets for rotationally symmetric planar convex bodies ⋮ A reciprocity principle for constrained isoperimetric problems and existence of isoperimetric subregions in convex sets ⋮ Solutions of the Cheeger problem via torsion functions ⋮ Uniqueness of the Cheeger set of a convex body ⋮ A characterization of convex calibrable sets in \(\mathbb R^N\) ⋮ Total variation and Cheeger sets in Gauss space ⋮ Some remarks on uniqueness and regularity of Cheeger sets ⋮ Total Variation Isoperimetric Profiles ⋮ About Hölder-regularity of the convex shape minimizing λ2 ⋮ Total curvature and the isoperimetric inequality in Cartan-Hadamard manifolds ⋮ A sharp isoperimetric inequality in the plane involving Hausdorff distance ⋮ Shape derivative of the Cheeger constant ⋮ Minimizers of the prescribed curvature functional in a Jordan domain with no necks ⋮ Convergence of Level Sets in Total Variation Denoising Through Variational Curvatures in Unbounded Domains ⋮ The isoperimetric problem in 2d domains without necks ⋮ A Faber-Krahn inequality for the Cheeger constant of \(N\)-gons ⋮ On the Cheeger sets in strips and non-convex domains
Cites Work
This page was built for publication: Area minimizing sets subject to a volume constraint in a convex set
