Minimal surfaces and harmonic functions in the Heisenberg group
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Publication:494207
DOI10.1016/j.na.2015.03.013zbMath1321.49071OpenAlexW1967992849MaRDI QIDQ494207
Publication date: 31 August 2015
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2015.03.013
Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10)
Related Items (4)
A measure zero universal differentiability set in the Heisenberg group ⋮ Improved Lipschitz approximation of \(H\)-perimeter minimizing boundaries ⋮ Symmetric double bubbles in the Grushin plane ⋮ The Bernstein problem for Lipschitz intrinsic graphs in the Heisenberg group
Cites Work
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- Sets with finite \(\mathbb{H}\)-perimeter and controlled normal
- Locality of the perimeter in Carnot groups and chain rule
- Intrinsic regular hypersurfaces in Heisenberg groups
- Intrinsic Lipschitz graphs in Heisenberg groups and continuous solutions of a balance equation
- Regularity of \(C^{1}\) smooth surfaces with prescribed \(p\)-mean curvature in the Heisenberg group
- Foundations for the theory of quasiconformal mappings on the Heisenberg group
- Lipschitz approximation of \(\mathbb H\)-perimeter minimizing boundaries
- Sets of Finite Perimeter and Geometric Variational Problems
- Smoothness of Lipschitz minimal intrinsic graphs in Heisenberg groups , n > 1
- Regularity of non-characteristic minimal graphs in the Heisenberg group $\mathbb{H}^{1}$
- Rectifiability and perimeter in the Heisenberg group
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