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@article{MT_2012_15_2_a0, author = {S. G. Basalaev}, title = {Parametrizations of level surfaces of real-valued mappings of {Carnot} groups}, journal = {Matemati\v{c}eskie trudy}, pages = {3--29}, publisher = {mathdoc}, volume = {15}, number = {2}, year = {2012}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MT_2012_15_2_a0/} }
S. G. Basalaev. Parametrizations of level surfaces of real-valued mappings of Carnot groups. Matematičeskie trudy, Tome 15 (2012) no. 2, pp. 3-29. http://geodesic.mathdoc.fr/item/MT_2012_15_2_a0/
[1] Vodopyanov S. K., Pupyshev I. M., “Teoremy tipa Uitni o prodolzhenii na gruppakh Karno”, Sib. matem. zhurn., 47:4 (2006), 731–752 | MR | Zbl
[2] Bigolin F., Intrinsic Regular Hypersurfaces in Heisenberg Groups and Weak Solutions of Nonlinear First-Order PDEs, PhD Thesis, Università Degli Studi di Trento, Trento, 2008
[3] Bigolin F., Serra Cassano F., “Distributional solutions of Burgers' equation and intrinsic regular graphs in Heisenberg groups”, J. Math. Anal. Appl., 366:2 (2010), 561–568 | DOI | MR | Zbl
[4] Bonfiglioli A., Lanconelli E., Uguzonni F., Stratified Lie Groups and Potential Theory for Their Sub-Laplacians, Springer Monographs in Mathematics, Springer-Verlag, Berlin–Heidelberg, 2007 | MR | Zbl
[5] Citti G., Manfredini M., “Implicit function theorem in Carnot–Carathéodory spaces”, Commun. Contemp. Math., 8:5 (2006), 657–680 | DOI | MR | Zbl
[6] Danielli D., Garofalo N., Nhieu D. M., Pauls S. D., “Instability of graphical strips and a positive answer to the Bernstein problem in the Heisenberg group $\mathbb H^1$”, J. Differential Geom., 81:2 (2009), 251–295 | MR | Zbl
[7] Folland G. B., Stein E. M., Hardy Spaces on Homogeneous Groups, Mathematical Notes, 28, Amer. Math. Soc., Princeton, NJ, 1982 | MR
[8] Franchi B., Serapioni R., Serra Cassano F., “On the structure of finite perimeter sets in step 2 Carnot groups”, J. Geom. Anal., 13:3 (2003), 421–466 | DOI | MR | Zbl
[9] Franchi B., Serapioni R., Serra Cassano F., “Regular hypersurfaces, intrinsic perimeter, and implicit function theorem in Carnot groups”, Comm. Anal. Geom., 11:5 (2003), 909–944 | MR | Zbl
[10] Ritoré M., Rosales C., “Area-stationary surfaces in the Heisenberg group $\mathbb H^1$”, Adv. Math., 219:2 (2008), 633–671 | DOI | MR | Zbl
[11] Vittone D., Submanifolds in Carnot groups, Theses of Scuola Normale Superiore Pisa (New Series), Edizioni della Normale, Pisa, 2008 | MR | Zbl