The isoperimetric problem in the Heisenberg group \(\mathbb{H}^n\) with density
From MaRDI portal
Publication:2190329
DOI10.1007/s13324-020-00367-2OpenAlexW3024439977MaRDI QIDQ2190329
Publication date: 18 June 2020
Published in: Analysis and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13324-020-00367-2
Variational problems in a geometric measure-theoretic setting (49Q20) Sub-Riemannian geometry (53C17)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The weighted isoperimetric-type and Sobolev-type inequalities for hypersurfaces in Carnot groups
- Isoperimetric problem in \(H\)-type groups and Grushin spaces
- Some isoperimetric inequalities on \(\mathbb{R}^N\) with respect to weights \(|x|^{\alpha}\)
- Isoperimetric comparison theorems for manifolds with density
- Some isoperimetric problems in planes with density
- An introduction to the Heisenberg group and the sub-Riemannian isoperimetric problem
- Area-stationary surfaces in the Heisenberg group \(\mathbb H^1\)
- Isoperimetric regions in the plane with density \(r^{p}\)
- Isoperimetric problems on the sphere and on surfaces with density
- The Brunn-Minkowski inequality in Gauss space
- On the isoperimetric problem with double density
- The isoperimetric problem in the Grushin space \(\mathbb{R}^{h+1}\) with density \(|x|^p\)
- Existence of isoperimetric regions in \(\mathbb{R}^{n}\) with density
- The isoperimetric problem for a class of non-radial weights and applications
- Some weighted isoperimetric problems on \({\mathbb{R}}^N_+\) with stable half balls have no solutions
- CMC spheres in the Heisenberg group
- A proof by calibration of an isoperimetric inequality in the Heisenberg group \({\mathbb{H}}^{n}\)
- On the isoperimetric problem in Euclidean space with density
- 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
- THE ISOPERIMETRIC PROBLEM ON PLANES WITH DENSITY
- Regularity of isoperimetric hypersurfaces in Riemannian manifolds
- Size of characteristic sets and functions with prescribed gradient
- Isoperimetric problems in sectors with density
- On weighted isoperimetric inequalities with non-radial densities
- Weighted isoperimetric inequalities on ℝn and applications to rearrangements
- A partial solution of the isoperimetric problem for the Heisenberg group
- On the cases of equality in Bobkov's inequality and Gaussian rearrangement