Area-minimizing ruled graphs and the Bernstein problem in the Heisenberg group
Author:
Funder
division of mathematical sciences
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Analysis
Link
https://link.springer.com/content/pdf/10.1007/s00526-022-02264-x.pdf
Reference21 articles.
1. Ambrosio, L., Serra Cassano, F., Vittone, D.: Intrinsic regular hypersurfaces in Heisenberg groups. J. Geom. Anal. 16(2), 187–232 (2006). https://doi.org/10.1007/BF02922114
2. 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). https://doi.org/10.1007/s00526-006-0076-3
3. Bigolin, F., Caravenna, L., Serra Cassano, F.: Intrinsic Lipschitz graphs in Heisenberg groups and continuous solutions of a balance equation. Ann. Inst. H. Poincaré Anal. Non Linéaire 32(5), 925–963 (2015). https://doi.org/10.1016/j.anihpc.2014.05.001
4. Cheng, J.-H., Hwang, J.-F., Yang, P.: Existence and uniqueness for $$p$$-area minimizers in the Heisenberg group. Math. Ann. 337(2), 253–293 (2007). https://doi.org/10.1007/s00208-006-0033-7
5. Cheeger, J., Kleiner, B.: Metric differentiation, monotonicity and maps to $$L^1$$. Invent. Math. 182(2), 335–370 (2010). https://doi.org/10.1007/s00222-010-0264-9
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