Basalaev, S. G.; Vodopyanov, S. K. Openness and discreteness of mappings of finite distortion on Carnot groups. (English. Russian original) Zbl 1529.30060 Sib. Math. J. 64, No. 6, 1289-1296 (2023); translation from Sib. Mat. Zh. 64, No. 6, 1151-1159 (2023). MSC: 30L10 30C65 × Cite Format Result Cite Review PDF Full Text: DOI
Vodopyanov, S. K.; Molchanova, A. O. The boundary behavior of \(\mathcal{Q}_{p,q}\)-homeomorphisms. (English) Zbl 1529.30028 Izv. Math. 87, No. 4, 683-725 (2023) and Izv. Ross. Akad. Nauk, Ser. Mat. 87, No. 4, 47-90 (2023). MSC: 30C65 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Vodopyanov, S. K. Continuity of the mappings with finite distortion of the Sobolev class \(W^1_{\nu,\operatorname{loc}}\) on Carnot groups. (English. Russian original) Zbl 1523.30074 Sib. Math. J. 64, No. 5, 1091-1109 (2023); translation from Sib. Mat. Zh. 64, No. 5, 912-934 (2023). MSC: 30L10 30C65 × Cite Format Result Cite Review PDF Full Text: DOI
Vodopyanov, S. K. Two-weighted composition operators on Sobolev spaces and quasiconformal analysis. (English) Zbl 07798336 J. Math. Sci., New York 266, No. 3, Series A, 491-509 (2022). MSC: 47B33 46E35 × Cite Format Result Cite Review PDF Full Text: DOI
Vodopyanov, S. K.; Evseev, N. A. Functional and analytical properties of a class of mappings of quasiconformal analysis on Carnot groups. (English. Russian original) Zbl 1486.30150 Sib. Math. J. 63, No. 2, 233-261 (2022); translation from Sib. Mat. Zh. 63, No. 2, 283-315 (2022). MSC: 30L10 30C65 47B33 × Cite Format Result Cite Review PDF Full Text: DOI
Vodopyanov, S. K. On the equivalence of two approaches to problems of quasiconformal analysis. (English. Russian original) Zbl 1482.30065 Sib. Math. J. 62, No. 6, 1010-1025 (2021); translation from Sib. Mat. Zh. 62, No. 2, 1252-1270 (2021). MSC: 30C65 × Cite Format Result Cite Review PDF Full Text: DOI
Vodopyanov, S. K. The regularity of inverses to Sobolev mappings and the theory of \(\mathcal{Q}_{q,p} \)-homeomorphisms. (English. Russian original) Zbl 1456.30046 Sib. Math. J. 61, No. 6, 1002-1038 (2020); translation from Sib. Mat. Zh. 61, No. 6, 1257-1299 (2020). MSC: 30C65 47B33 46E35 × Cite Format Result Cite Review PDF Full Text: DOI
Vodopyanov, S. K. Basics of the quasiconformal analysis of a two-index scale of spatial mappings. (English. Russian original) Zbl 1415.30022 Sib. Math. J. 59, No. 5, 805-834 (2018); translation from Sib. Mat. Zh. 59, No. 5, 1020-1056 (2018). MSC: 30C65 46E35 × Cite Format Result Cite Review PDF Full Text: DOI
Vodopyanov, S. K. Differentiability of mappings of the Sobolev space \(W_{n-1}^1\) with conditions on the distortion function. (English. Russian original) Zbl 1412.30094 Sib. Math. J. 59, No. 6, 983-1005 (2018); translation from Sib. Mat. Zh. 59, No. 6, 1240-1267 (2018). MSC: 30C65 46E35 × Cite Format Result Cite Review PDF Full Text: DOI