Isoperimetric problem in \(H\)-type groups and Grushin spaces
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Publication:515347
DOI10.4171/RMI/914zbMath1368.49051arXiv1411.5175OpenAlexW2963792674MaRDI QIDQ515347
Valentina Franceschi, Roberto Monti
Publication date: 13 March 2017
Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1411.5175
Variational problems in a geometric measure-theoretic setting (49Q20) Sub-Riemannian geometry (53C17)
Related Items (13)
The Isoperimetric Problem in Carnot-Caratéodory Spaces ⋮ Weighted quantitative isoperimetric inequalities in the Grushin space \({R}^{h+1}\) with density \(| x|^{p}\) ⋮ Functional capacities on the Grushin space \({\mathbb {G}}^n_\alpha \) ⋮ A note on BV capacities on Grushin spaces ⋮ A minimal partition problem with trace constraint in the Grushin plane ⋮ Quantitative isoperimetric inequalities in \(\mathbb H^n\) ⋮ On the Steiner property for planar minimizing clusters. The isotropic case ⋮ The isoperimetric problem in the Heisenberg group \(\mathbb{H}^n\) with density ⋮ Symmetric double bubbles in the Grushin plane ⋮ The \(\infty \)-capacity and Faber-Krahn inequality on Grushin spaces ⋮ The \(\varepsilon - \varepsilon^\beta\) property in the isoperimetric problem with double density, and the regularity of isoperimetric sets ⋮ Some isoperimetric inequalities with respect to monomial weights ⋮ The isoperimetric problem for regular and crystalline norms in \({\mathbb{H}}^1\)
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