Chen, Shibing; Liu, Jiakun; Wang, Xu-Jia \(C^{2,\alpha}\) regularity of free boundaries in optimal transportation. (English) Zbl 07782038 Commun. Pure Appl. Math. 77, No. 1, 731-794 (2024). MSC: 35B65 35A15 35R35 PDFBibTeX XMLCite \textit{S. Chen} et al., Commun. Pure Appl. Math. 77, No. 1, 731--794 (2024; Zbl 07782038) Full Text: DOI arXiv
Chen, Shibing; Liu, Jiakun; Wang, Xu-Jia Regularity of optimal mapping between hypercubes. (English) Zbl 1526.35201 Adv. Nonlinear Stud. 23, Article ID 20230087, 5 p. (2023). MSC: 35J96 35J25 35B65 PDFBibTeX XMLCite \textit{S. Chen} et al., Adv. Nonlinear Stud. 23, Article ID 20230087, 5 p. (2023; Zbl 1526.35201) Full Text: DOI OA License
Lai, Ming-Jun; Lee, Jinsil Trivariate spline collocation methods for numerical solution to 3D Monge-Ampère equation. (English) Zbl 1516.65134 J. Sci. Comput. 95, No. 2, Paper No. 56, 29 p. (2023). MSC: 65N30 65N35 65D07 65K10 35J96 49M41 PDFBibTeX XMLCite \textit{M.-J. Lai} and \textit{J. Lee}, J. Sci. Comput. 95, No. 2, Paper No. 56, 29 p. (2023; Zbl 1516.65134) Full Text: DOI arXiv
Jhaveri, Yash; Savin, Ovidiu On the regularity of optimal transports between degenerate densities. (English) Zbl 1497.35291 Arch. Ration. Mech. Anal. 245, No. 2, 819-861 (2022). MSC: 35J96 35J25 35B65 PDFBibTeX XMLCite \textit{Y. Jhaveri} and \textit{O. Savin}, Arch. Ration. Mech. Anal. 245, No. 2, 819--861 (2022; Zbl 1497.35291) Full Text: DOI arXiv
Miura, Tatsuya; Otto, Felix Sharp boundary \(\varepsilon\)-regularity of optimal transport maps. (English) Zbl 1459.49032 Adv. Math. 381, Article ID 107603, 66 p. (2021). Reviewer: Andrew Bucki (Edmond) MSC: 49Q22 49N60 35B65 PDFBibTeX XMLCite \textit{T. Miura} and \textit{F. Otto}, Adv. Math. 381, Article ID 107603, 66 p. (2021; Zbl 1459.49032) Full Text: DOI arXiv
Savin, Ovidiu; Yu, Hui Global \(W^{2,1+\varepsilon}\) estimates for Monge-Ampère equation with natural boundary condition. (English. French summary) Zbl 1436.35215 J. Math. Pures Appl. (9) 137, 275-289 (2020). MSC: 35J96 35J25 35J60 PDFBibTeX XMLCite \textit{O. Savin} and \textit{H. Yu}, J. Math. Pures Appl. (9) 137, 275--289 (2020; Zbl 1436.35215) Full Text: DOI arXiv
Chen, Shibing; Liu, Jiakun; Wang, Xu-Jia Global regularity of optimal mappings in non-convex domains. (English) Zbl 1427.35090 Sci. China, Math. 62, No. 11, 2057-2072 (2019). MSC: 35J96 35J25 35B65 PDFBibTeX XMLCite \textit{S. Chen} et al., Sci. China, Math. 62, No. 11, 2057--2072 (2019; Zbl 1427.35090) Full Text: DOI arXiv