Smoothness of Lipschitz Minimal Intrinsic Graphs in Heisenberg Groups ℍⁿ, N > 1

Authors

Luca Capogna, University of ArkansasFollow
Giovanna Citti, Alma Mater Studiorum Università di Bologna
Maria Manfredini, Alma Mater Studiorum Università di Bologna

Document Type

Article

Publication Date

11-1-2010

Publication Title

Journal fur die Reine und Angewandte Mathematik

Abstract

We prove that Lipschitz intrinsic graphs in the Heisenberg groups ℍn, with n > 1, which are vanishing viscosity solutions of the minimal surface equation, are smooth and satisfy the PDE in a strong sense.

Issue

648

First Page

75

Last Page

110

DOI

10.1515/CRELLE.2010.080

ISSN

00754102

Version

Author's Accepted Manuscript

Comments

Peer reviewed accepted manuscript.

Recommended Citation

Capogna, Luca; Citti, Giovanna; and Manfredini, Maria, "Smoothness of Lipschitz Minimal Intrinsic Graphs in Heisenberg Groups ℍⁿ, N > 1" (2010). Mathematics Sciences: Faculty Publications, Smith College, Northampton, MA.
https://scholarworks.smith.edu/mth_facpubs/137