Basalaev Sergey Gennadievich

Publications in Math-Net.Ru

1. The coarea formula for projections of Lipschitz maps of Carnot groups
   
   Mat. Sb., 216:9 (2025),  21–41
2. The shortest polygonal chains in the Heisenberg group
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 2024, no. 11,  81–87
3. Openness and discreteness of mappings of finite distortion on Carnot groups
   
   Sibirsk. Mat. Zh., 64:6 (2023),  1151–1159
4. Hölder continuity of the traces of Sobolev functions to hypersurfaces in Carnot groups and the $\mathcal{P}$-differentiability of Sobolev mappings
   
   Sibirsk. Mat. Zh., 64:4 (2023),  700–719
5. Mollifications of contact mappings of Engel group
   
   Vladikavkaz. Mat. Zh., 25:1 (2023),  5–19
6. Privileged coordinates for carnot–carathéodory spaces of lower smoothness
   
   Sibirsk. Mat. Zh., 61:5 (2020),  961–978
7. The local approximation theorem in various coordinate systems
   
   Sibirsk. Mat. Zh., 59:5 (2018),  988–997
8. Simple Proof of the Theorem on the Lifting of Vector Fields
   
   Mat. Zametki, 98:4 (2015),  626–629
9. The Poincaré inequality for $C^{1,\alpha}$-smooth vector fields
   
   Sibirsk. Mat. Zh., 55:2 (2014),  267–284
10. Approximate differentiability of mappings of Carnot–Carathéodory spaces
    
    Eurasian Math. J., 4:2 (2013),  10–48
11. One-Dimensional Level Sets of $hc$-Differentiable Mappings of Carnot–Carathéodory Spaces
    
    Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 13:4 (2013),  16–36
12. Parametrizations of level surfaces of real-valued mappings of Carnot groups
    
    Mat. Tr., 15:2 (2012),  3–29