Essential connectedness and the rigidity problem for Gaussian symmetrization

DOI10.4171/JEMS/669zbMath1361.49012arXiv1304.4527MaRDI QIDQ515328

Francesco Maggi, Maria Colombo, Filippo Cagnetti, Guido De Philippis

Publication date: 13 March 2017

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.4527

zbMATH Keywords

symmetrizationrigidityGauss spaceequality cases

Mathematics Subject Classification ID

Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Optimality conditions for problems involving relations other than differential equations (49K21)

Related Items (6)

Equilibrium configurations for epitaxially strained films and material voids in three-dimensional linear elasticity ⋮ Rigidity for perimeter inequality under spherical symmetrisation ⋮ Rigidity for measurable sets ⋮ Perimeter inequality under circular and Steiner symmetrisation: geometric characterisation of extremals ⋮ Rigidity for perimeter inequalities under symmetrization: state of the art and open problems ⋮ Rigidity of Steiner’s inequality for the anisotropic perimeter

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