Area-Minimizing Horizontal Graphs with Low Regularity in the Sub-Finsler Heisenberg Group $${\mathbb {H}}^1$$

Author:

Giovannardi Gianmarco,Pozuelo Julián,Ritoré Manuel

Publisher

Springer Nature Switzerland

Reference32 articles.

1. Barone Adesi, V., Serra Cassano, F., Vittone, D.: The Bernstein problem for intrinsic graphs in Heisenberg groups and calibrations. Calc. Var. Partial Differ. Equ. 30(1), 17–49 (2007)

2. Capogna, L., Danielli, D., Pauls, S.D., Tyson, J.T.: An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem. Progress in Mathematics, vol. 259. Birkhäuser Verlag, Basel (2007)

3. Capogna, L., Citti, G., Manfredini, M.: Regularity of non-characteristic minimal graphs in the Heisenberg group $$\mathbb {H} ^1$$. Indiana Univ. Math. J. 58(5), 2115–2160 (2009)

4. Capogna, L., Citti, G., Manfredini, M.: Smoothness of Lipschitz minimal intrinsic graphs in Heisenberg groups $$\mathbb {H} ^n$$, $$n>1$$. J. Reine Angew. Math. 648, 75–110 (2010)

5. Cheng, J.-H., Hwang, J.-F., Malchiodi, A., Yang, P.: Minimal surfaces in pseudohermitian geometry. Ann. Sc. Norm. Super. Pisa Cl. Sci. 4(1), 129–177 (2005)

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