# Improved Lipschitz approximation of H-perimeter minimizing boundaries

@article{Monti2016ImprovedLA, title={Improved Lipschitz approximation of H-perimeter minimizing boundaries}, author={Roberto Monti and Giorgio Stefani}, journal={Journal de Math{\'e}matiques Pures et Appliqu{\'e}es}, year={2016}, volume={108}, pages={372-398} }

## 8 Citations

The Bernstein problem for Lipschitz intrinsic graphs in the Heisenberg group

- MathematicsCalculus of Variations and Partial Differential Equations
- 2019

We prove that, in the first Heisenberg group $\mathbb{H}$, an entire locally Lipschitz intrinsic graph admitting vanishing first variation of its sub-Riemannian area and non-negative second variation…

Towards a theory of area in homogeneous groups

- MathematicsCalculus of Variations and Partial Differential Equations
- 2019

A general approach to compute the spherical measure of submanifolds in homogeneous groups is provided. We focus our attention on the homogeneous tangent space, that is a suitable weighted algebraic…

N ov 2 01 9 THE GAUSS – GREEN THEOREM IN STRATIFIED GROUPS

- 2019

We lay the foundations for a theory of divergence-measure fields in noncommutative stratified nilpotent Lie groups. Such vector fields form a new family of function spaces, which generalize in a…

Symmetric double bubbles in the Grushin plane

- Mathematics, PhysicsESAIM: Control, Optimisation and Calculus of Variations
- 2019

We address the double bubble problem for the anisotropic Grushin perimeter Pα, α ≥ 0, and the Lebesgue measure in ℝ2, in the case of two equal volumes. We assume that the contact interface between…

Isoperimetric problem and minimal surfaces in the Heisenberg group

- Mathematics
- 2014

The 2n +1-dimensional Heisenberg group is the manifold ℍ n = ℂ n × ℝ, n ∊ ℕ, endowed with the group product

On small energy stabilization in the NLS with a trapping potential

- Mathematics, Physics
- 2015

We describe the asymptotic behavior of small energy solutions of an NLS with a trapping potential. In particular we generalize work of Soffer and Weinstein, and of Tsai et. al. The novelty is that we…

Rickman rugs and intrinsic bilipschitz graphs

- Mathematics
- 2020

This paper studies the geometry of bilipschitz maps $f \colon \mathbb{W} \to \mathbb{H}$, where $\mathbb{H}$ is the first Heisenberg group, and $\mathbb{W} \subset \mathbb{H}$ is a vertical subgroup…

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