Bogachev, V. I.; Popova, S. N. On Kantorovich problems with a parameter. (English. Russian original) Zbl 1514.90008 Dokl. Math. 106, No. 3, 426-428 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 507, 26-28 (2022). MSC: 90B06 PDFBibTeX XMLCite \textit{V. I. Bogachev} and \textit{S. N. Popova}, Dokl. Math. 106, No. 3, 426--428 (2022; Zbl 1514.90008); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 507, 26--28 (2022) Full Text: DOI
Bogachev, Vladimir Igorevich; Malofeev, Il’ya Igorevich Nonlinear Kantorovich problems with a parameter. (English) Zbl 1504.49063 Izv. Irkutsk. Gos. Univ., Ser. Mat. 41, 69-106 (2022). Reviewer: Nicolò De Ponti (Trieste) MSC: 49Q22 28C15 PDFBibTeX XMLCite \textit{V. I. Bogachev} and \textit{I. I. Malofeev}, Izv. Irkutsk. Gos. Univ., Ser. Mat. 41, 69--106 (2022; Zbl 1504.49063) Full Text: DOI Link
Bogachev, V. I.; Rezbaev, A. V. Existence of solutions to the nonlinear Kantorovich transportation problem. (English. Russian original) Zbl 1504.49062 Math. Notes 112, No. 3, 369-377 (2022); translation from Mat. Zametki 112, No. 3, 360-370 (2022). MSC: 49Q22 28C15 PDFBibTeX XMLCite \textit{V. I. Bogachev} and \textit{A. V. Rezbaev}, Math. Notes 112, No. 3, 369--377 (2022; Zbl 1504.49062); translation from Mat. Zametki 112, No. 3, 360--370 (2022) Full Text: DOI
Bogachev, V. I. Kantorovich problems with a parameter and density constraints. (English. Russian original) Zbl 1482.49050 Sib. Math. J. 63, No. 1, 34-47 (2022); translation from Sib. Mat. Zh. 63, No. 1, 42-57 (2022). Reviewer: Jie Xiao (St. John’s) MSC: 49Q20 PDFBibTeX XMLCite \textit{V. I. Bogachev}, Sib. Math. J. 63, No. 1, 34--47 (2022; Zbl 1482.49050); translation from Sib. Mat. Zh. 63, No. 1, 42--57 (2022) Full Text: DOI
Bogachev, Vladimir I.; Malofeev, Ilya I. Kantorovich problems and conditional measures depending on a parameter. (English) Zbl 1509.28003 J. Math. Anal. Appl. 486, No. 1, Article ID 123883, 30 p. (2020). Reviewer: Daniele Puglisi (Catania) MSC: 28A33 PDFBibTeX XMLCite \textit{V. I. Bogachev} and \textit{I. I. Malofeev}, J. Math. Anal. Appl. 486, No. 1, Article ID 123883, 30 p. (2020; Zbl 1509.28003) Full Text: DOI arXiv
Bogachev, V. I.; Malofeev, I. I. On the Kantorovich problem with a parameter. (English. Russian original) Zbl 1447.28014 Dokl. Math. 100, No. 1, 349-353 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 487, No. 4, 355-360 (2019). Reviewer: Athanase Papadopoulos (Strasbourg) MSC: 28C15 46G12 PDFBibTeX XMLCite \textit{V. I. Bogachev} and \textit{I. I. Malofeev}, Dokl. Math. 100, No. 1, 349--353 (2019; Zbl 1447.28014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 487, No. 4, 355--360 (2019) Full Text: DOI
Bogachev, V. I.; Kalinin, A. N.; Popova, S. N. On the equality of values in the Monge and Kantorovich problems. (English) Zbl 1428.49049 J. Math. Sci., New York 238, No. 4, 377-389 (2019) Zap. Nauchn. Semin. POMI 457, 53-73 (2017). Reviewer: Mircea Balaj (Oradea) MSC: 49Q20 PDFBibTeX XMLCite \textit{V. I. Bogachev} et al., J. Math. Sci., New York 238, No. 4, 377--389 (2019; Zbl 1428.49049) Full Text: DOI
Bogachev, Vladimir I.; Kolesnikov, Alexander V. Mass transport generated by a flow of Gauss maps. (English) Zbl 1154.49013 J. Funct. Anal. 256, No. 3, 940-957 (2009). MSC: 49J55 49J20 53C44 PDFBibTeX XMLCite \textit{V. I. Bogachev} and \textit{A. V. Kolesnikov}, J. Funct. Anal. 256, No. 3, 940--957 (2009; Zbl 1154.49013) Full Text: DOI arXiv
Bogachev, Vladimir I.; Kolesnikov, Alexander V. On the Monge-Ampère equation in infinite dimensions. (English) Zbl 1103.49001 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 8, No. 4, 547-572 (2005). Reviewer: Hector O. Fattorini (Los Angeles) MSC: 49-02 49Q20 49J45 28C20 PDFBibTeX XMLCite \textit{V. I. Bogachev} and \textit{A. V. Kolesnikov}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 8, No. 4, 547--572 (2005; Zbl 1103.49001) Full Text: DOI