Smoothness of Lipschitz minimal intrinsic graphs in Heisenberg groups Hⁿ, n>1

2008/04/21 by Capogna, Luca, Citti, Giovanna, Manfredini, Maria · 1 citation
#35H20 #53C17 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.0804.3408

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.

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• Plateau's Problem for intrinsic graphs in the Heisenberg Group

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