H-minimal graphs of low regularity in H1

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The Bernstein problem for intrinsic graphs in Heisenberg groups and calibrations (2006, background): “Examples with low regularity are also provided in [13,45] for minimal Euclidean t-graphs and very recently S.”
Regularity of non-characteristic minimal graphs in the Heisenberg group $H^1$ (2008, background): “We now prove that if u is a smooth solution of equation (1.3) then its derivatives ∂2u and Xku are solution of a similar mean curvature equation with different right hand side (see also [5, Lemma 3.1]).”
Regularity of C1 smooth surfaces with prescribed p-mean curvature in the Heisenberg group (2007, unknown): “D G ] 2 4 Ju l 2”
Existence and uniqueness for P-area minimizers in the Heisenberg group (2006, methodology): “We remark that Pauls had a similar result (for m = 2, F = − X∗, and H = 0) as Theorem C in [17].”
Intrinsic regular graphs in Heisenberg groups vs. weak solutions of non-linear first-order PDEs (2009, background): “The latter has been in the framework of minimal surfaces in Hn (see [ 24 ],[10], [3],[11], [6] and [7]).”
Area-stationary surfaces in the Heisenberg group H1 (2005, background): “We would like to mention that examples of area-minimizing surfaces in H(1) with low Euclidean regularity have been obtained in [11], [32], [35] and [31].”