Quantitative isoperimetric inequalities in \(\mathbb H^n\)
From MaRDI portal
Publication:889748
DOI10.1007/s00526-015-0899-xzbMath1326.49075arXiv1503.06587OpenAlexW2265632515MaRDI QIDQ889748
Gian Paolo Leonardi, Valentina Franceschi, Roberto Monti
Publication date: 9 November 2015
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1503.06587
Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Variational problems in a geometric measure-theoretic setting (49Q20) Optimization of shapes other than minimal surfaces (49Q10) Sub-Riemannian geometry (53C17)
Related Items
The Isoperimetric Problem in Carnot-Caratéodory Spaces ⋮ Weighted quantitative isoperimetric inequalities in the Grushin space \({R}^{h+1}\) with density \(| x|^{p}\) ⋮ A minimal partition problem with trace constraint in the Grushin plane ⋮ Pansu-Wulff shapes in \(\mathbb{H}^1\) ⋮ The differential geometry of curves in the Heisenberg groups ⋮ Regularity of Lipschitz boundaries with prescribed sub-Finsler mean curvature in the Heisenberg group \(\mathbb{H}^1\) ⋮ CMC spheres in the Heisenberg group ⋮ The isoperimetric problem for regular and crystalline norms in \({\mathbb{H}}^1\) ⋮ A weighted quantitative isoperimetric inequality for Korányi sphere in Heisenberg group ℍ^n
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Minimality via second variation for a nonlocal isoperimetric problem
- Isoperimetric problem in \(H\)-type groups and Grushin spaces
- An introduction to the Heisenberg group and the sub-Riemannian isoperimetric problem
- Area-stationary surfaces in the Heisenberg group \(\mathbb H^1\)
- A mass transportation approach to quantitative isoperimetric inequalities
- Isoperimetric inequality in the Grushin plane
- A selection principle for the sharp quantitative isoperimetric inequality
- A quantitative isoperimetric inequality on the sphere
- A short proof of the minimality of Simons cone
- The sharp quantitative isoperimetric inequality
- Sharp dimension free quantitative estimates for the Gaussian isoperimetric inequality
- A proof by calibration of an isoperimetric inequality in the Heisenberg group \({\mathbb{H}}^{n}\)
- Sharp stability inequalities for the Plateau problem
- On the isoperimetric problem in the Heisenberg group \(\mathbb H^n\)
- On the isoperimetric deficit in Gauss space
- Convex isoperimetric sets in the Heisenberg group
- Heisenberg isoperimetric problem. The axial case
- A sharp quantitative isoperimetric inequality in hyperbolic \(n\)-space