Demailly, J. P. Monge-Ampére functionals for the curvature tensor of a holomorphic vector bundle. (English) Zbl 07551282 Anal. Math. 48, No. 2, 427-450 (2022). MSC: 32J25 53C07 PDF BibTeX XML Cite \textit{J. P. Demailly}, Anal. Math. 48, No. 2, 427--450 (2022; Zbl 07551282) Full Text: DOI OpenURL
Li, Qi-Rui; Liu, Jiakun; Lu, Jian Nonuniqueness of solutions to the \(L_p\) dual Minkowski problem. (English) Zbl 07542586 Int. Math. Res. Not. 2022, No. 12, 9114-9150 (2022). MSC: 35J96 35A01 PDF BibTeX XML Cite \textit{Q.-R. Li} et al., Int. Math. Res. Not. 2022, No. 12, 9114--9150 (2022; Zbl 07542586) Full Text: DOI OpenURL
Li, Qi-Rui; Sheng, Weimin; Ye, Deping; Yi, Caihong A flow approach to the Musielak-Orlicz-Gauss image problem. (English) Zbl 07534695 Adv. Math. 403, Article ID 108379, 40 p. (2022). MSC: 35K96 53C21 52A30 52A39 52A40 PDF BibTeX XML Cite \textit{Q.-R. Li} et al., Adv. Math. 403, Article ID 108379, 40 p. (2022; Zbl 07534695) Full Text: DOI OpenURL
Bonnet, Guillaume; Mirebeau, Jean-Marie Monotone discretization of the Monge-Ampère equation of optimal transport. (English) Zbl 07523322 ESAIM, Math. Model. Numer. Anal. 56, No. 3, 815-865 (2022). MSC: 65N06 65N12 35J70 35J96 PDF BibTeX XML Cite \textit{G. Bonnet} and \textit{J.-M. Mirebeau}, ESAIM, Math. Model. Numer. Anal. 56, No. 3, 815--865 (2022; Zbl 07523322) Full Text: DOI OpenURL
Le, Nam Q. Optimal boundary regularity for some singular Monge-Ampère equations on bounded convex domains. (English) Zbl 07513969 Discrete Contin. Dyn. Syst. 42, No. 5, 2199-2214 (2022). MSC: 35J96 35J75 35B65 PDF BibTeX XML Cite \textit{N. Q. Le}, Discrete Contin. Dyn. Syst. 42, No. 5, 2199--2214 (2022; Zbl 07513969) Full Text: DOI OpenURL
Bai, Shuangshuang; Zhang, Xuemei; Feng, Meiqiang Entire positive \(k\)-convex solutions to \(k\)-Hessian type equations and systems. (English) Zbl 07510592 Electron Res. Arch. 30, No. 2, 481-491 (2022). Reviewer: John Urbas (Canberra) MSC: 35B08 35J60 35J47 35J96 PDF BibTeX XML Cite \textit{S. Bai} et al., Electron Res. Arch. 30, No. 2, 481--491 (2022; Zbl 07510592) Full Text: DOI OpenURL
Quan, Vu Van The Dini type condition in the existence of continuous solutions to the complex Monge-Ampère equations on compact Kähler manifolds. (English) Zbl 07506397 J. Math. Anal. Appl. 513, No. 1, Article ID 126218, 14 p. (2022). MSC: 32J27 32W20 32U05 PDF BibTeX XML Cite \textit{V. Van Quan}, J. Math. Anal. Appl. 513, No. 1, Article ID 126218, 14 p. (2022; Zbl 07506397) Full Text: DOI OpenURL
Kawamura, Masaya Gradient estimates for Monge-Ampère type equations on compact almost Hermitian manifolds with boundary. (English) Zbl 07501872 Analysis, München 42, No. 1, 41-48 (2022). MSC: 32Q60 53C15 53C55 PDF BibTeX XML Cite \textit{M. Kawamura}, Analysis, München 42, No. 1, 41--48 (2022; Zbl 07501872) Full Text: DOI OpenURL
Tang, Lin; Zhang, Qian Global \(W^{2,p}\) regularity on the linearized Monge-Ampère equation with \(\text{VMO}\) Type coefficients. (English) Zbl 07501059 Result. Math. 77, No. 2, Paper No. 94, 88 p. (2022). MSC: 35J15 35B65 PDF BibTeX XML Cite \textit{L. Tang} and \textit{Q. Zhang}, Result. Math. 77, No. 2, Paper No. 94, 88 p. (2022; Zbl 07501059) Full Text: DOI OpenURL
Abja, Soufian; Olive, Guillaume Local regularity for concave homogeneous complex degenerate elliptic equations dominating the Monge-Ampère equation. (English) Zbl 07495348 Ann. Mat. Pura Appl. (4) 201, No. 2, 561-587 (2022). MSC: 35J70 32W20 35B65 PDF BibTeX XML Cite \textit{S. Abja} and \textit{G. Olive}, Ann. Mat. Pura Appl. (4) 201, No. 2, 561--587 (2022; Zbl 07495348) Full Text: DOI OpenURL
Maldonado, Diego On convex functions and elliptic operators. (English) Zbl 07495315 Calc. Var. Partial Differ. Equ. 61, No. 3, Paper No. 85, 38 p. (2022). MSC: 35J96 PDF BibTeX XML Cite \textit{D. Maldonado}, Calc. Var. Partial Differ. Equ. 61, No. 3, Paper No. 85, 38 p. (2022; Zbl 07495315) Full Text: DOI OpenURL
Lu, Chinh H.; Phung, Trong-Thuc; Tô, Tât-Dat Stability and Hölder regularity of solutions to complex Monge-Ampère equations on compact Hermitian manifolds. (Stabilité et continuité Höldérienne des solutions des équations de Monge-Ampère complexes sur des variétés hermitiennes compactes.) (English. French summary) Zbl 07492557 Ann. Inst. Fourier 71, No. 5, 2019-2045 (2022). MSC: 32W20 32U05 32Q15 PDF BibTeX XML Cite \textit{C. H. Lu} et al., Ann. Inst. Fourier 71, No. 5, 2019--2045 (2022; Zbl 07492557) Full Text: DOI arXiv OpenURL
Chen, Li; Tu, Qiang; Wu, Di; Xiang, Ni Anisotropic Gauss curvature flows and their associated dual Orlicz-Minkowski problems. (English) Zbl 1485.35252 Proc. R. Soc. Edinb., Sect. A, Math. 152, No. 1, 148-162 (2022). MSC: 35J96 53C45 PDF BibTeX XML Cite \textit{L. Chen} et al., Proc. R. Soc. Edinb., Sect. A, Math. 152, No. 1, 148--162 (2022; Zbl 1485.35252) Full Text: DOI OpenURL
Wu, Di; Tu, Qiang; Xie, Siyuan A class of Gauss curvature flows and its applications to an even dual Orlicz-Minkowski type problem. (English) Zbl 1485.35255 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 218, Article ID 112798, 16 p. (2022). MSC: 35J96 52A20 53C45 35A01 PDF BibTeX XML Cite \textit{D. Wu} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 218, Article ID 112798, 16 p. (2022; Zbl 1485.35255) Full Text: DOI OpenURL
Zhang, Jiaogen Parabolic quaternionic Monge-Ampère equation on compact manifolds with a flat hyperKähler metric. (English) Zbl 1483.35133 J. Korean Math. Soc. 59, No. 1, 13-33 (2022). MSC: 35K96 35B45 53C26 PDF BibTeX XML Cite \textit{J. Zhang}, J. Korean Math. Soc. 59, No. 1, 13--33 (2022; Zbl 1483.35133) Full Text: DOI OpenURL
Liu, Zixiao; Bao, Jiguang Asymptotic expansion at infinity of solutions of special Lagrangian equations. (English) Zbl 1484.35200 J. Geom. Anal. 32, No. 3, Paper No. 90, 34 p. (2022). MSC: 35J60 35B40 PDF BibTeX XML Cite \textit{Z. Liu} and \textit{J. Bao}, J. Geom. Anal. 32, No. 3, Paper No. 90, 34 p. (2022; Zbl 1484.35200) Full Text: DOI arXiv OpenURL
Hu, Jinrong; Liu, Jiaqian; Ma, Di A Gauss curvature flow to the Orlicz-Minkowski problem for torsional rigidity. (English) Zbl 1484.35250 J. Geom. Anal. 32, No. 2, Paper No. 63, 28 p. (2022). MSC: 35J96 35A01 PDF BibTeX XML Cite \textit{J. Hu} et al., J. Geom. Anal. 32, No. 2, Paper No. 63, 28 p. (2022; Zbl 1484.35250) Full Text: DOI OpenURL
Chen, Li; Liu, YanNan; Lu, Jian; Xiang, Ni Existence of smooth even solutions to the dual Orlicz-Minkowski problem. (English) Zbl 1484.35249 J. Geom. Anal. 32, No. 2, Paper No. 40, 25 p. (2022). MSC: 35J96 35A01 PDF BibTeX XML Cite \textit{L. Chen} et al., J. Geom. Anal. 32, No. 2, Paper No. 40, 25 p. (2022; Zbl 1484.35249) Full Text: DOI arXiv OpenURL
Dang, Quang-Tuan Pluripotential Monge-Ampère flows in big cohomology classes. (English) Zbl 07457885 J. Funct. Anal. 282, No. 6, Article ID 109373, 65 p. (2022). Reviewer: Henri Guenancia (Toulouse) MSC: 32W20 53E30 58J35 PDF BibTeX XML Cite \textit{Q.-T. Dang}, J. Funct. Anal. 282, No. 6, Article ID 109373, 65 p. (2022; Zbl 07457885) Full Text: DOI arXiv OpenURL
Do, Hoang-Son; Pham, Thanh Cong Ngoc A comparison principle for parabolic complex Monge-Ampère equations. (English) Zbl 1484.32053 J. Geom. Anal. 32, No. 1, Paper No. 6, 19 p. (2022). MSC: 32W20 32U15 32T15 35D40 PDF BibTeX XML Cite \textit{H.-S. Do} and \textit{T. C. N. Pham}, J. Geom. Anal. 32, No. 1, Paper No. 6, 19 p. (2022; Zbl 1484.32053) Full Text: DOI arXiv OpenURL
Nguyen Xuan Hong; Pham Thi Lieu Local Hölder continuity of solutions of the complex Monge-Ampère equation. (English) Zbl 1478.32125 J. Math. Anal. Appl. 507, No. 1, Article ID 125737, 8 p. (2022). MSC: 32W20 35B65 PDF BibTeX XML Cite \textit{Nguyen Xuan Hong} and \textit{Pham Thi Lieu}, J. Math. Anal. Appl. 507, No. 1, Article ID 125737, 8 p. (2022; Zbl 1478.32125) Full Text: DOI arXiv OpenURL
Wu, Di; Wu, Chuanxi; Tu, Qiang Flow expanding by Gauss curvature to \(L_p\) dual Minkowski problems. (English) Zbl 07423254 Proc. Am. Math. Soc. 150, No. 1, 305-318 (2022). Reviewer: Jiguang Bao (Beijing) MSC: 53E10 35K96 PDF BibTeX XML Cite \textit{D. Wu} et al., Proc. Am. Math. Soc. 150, No. 1, 305--318 (2022; Zbl 07423254) Full Text: DOI OpenURL
Guedj, Vincent; Lu, Chinh H.; Zeriahi, Ahmed The pluripotential Cauchy-Dirichlet problem for complex Monge-Ampère flows. (English. French summary) Zbl 07548719 Ann. Sci. Éc. Norm. Supér. (4) 54, No. 4, 889-944 (2021). MSC: 53E30 32W20 58J35 PDF BibTeX XML Cite \textit{V. Guedj} et al., Ann. Sci. Éc. Norm. Supér. (4) 54, No. 4, 889--944 (2021; Zbl 07548719) Full Text: DOI OpenURL
Lee, Wonjun; Lai, Rongjie; Li, Wuchen; Osher, Stanley Generalized unnormalized optimal transport and its fast algorithms. (English) Zbl 07513833 J. Comput. Phys. 436, Article ID 110041, 24 p. (2021). MSC: 49Qxx 94Axx 65Kxx PDF BibTeX XML Cite \textit{W. Lee} et al., J. Comput. Phys. 436, Article ID 110041, 24 p. (2021; Zbl 07513833) Full Text: DOI OpenURL
Fedorchuk, Vasyl; Fedorchuk, Volodymyr On symmetry reduction and some classes of invariant solutions of the \((1+3)\)-dimensional homogeneous Monge-Ampère equation. (English) Zbl 07512709 Proc. Int. Geom. Cent. 14, No. 3, 206-218 (2021). MSC: 22E70 35B06 53A07 PDF BibTeX XML Cite \textit{V. Fedorchuk} and \textit{V. Fedorchuk}, Proc. Int. Geom. Cent. 14, No. 3, 206--218 (2021; Zbl 07512709) Full Text: DOI OpenURL
Le Mau Hai; Vu Van Quan Existence and Hölder continuity to solutions of the complex Monge-Ampère-type equations with measures vanishing on pluripolar subsets. (English) Zbl 07488239 Int. J. Math. 32, No. 14, Article ID 2150099, 19 p. (2021). MSC: 32W20 32T15 35B65 PDF BibTeX XML Cite \textit{Le Mau Hai} and \textit{Vu Van Quan}, Int. J. Math. 32, No. 14, Article ID 2150099, 19 p. (2021; Zbl 07488239) Full Text: DOI OpenURL
Jiang, Feida; Trudinger, Neil S. The Neumann problem for Monge-Ampère type equations revisited. (English) Zbl 07469694 N. Z. J. Math. 52, 671-689 (2021). Reviewer: Igor G. Nikolaev (Urbana) MSC: 35J96 35J66 PDF BibTeX XML Cite \textit{F. Jiang} and \textit{N. S. Trudinger}, N. Z. J. Math. 52, 671--689 (2021; Zbl 07469694) Full Text: DOI OpenURL
Chen, Yangang; Wan, Justin W. L. Multigrid methods for image registration model based on optimal mass transport. (English) Zbl 07468063 Tai, Xue-Cheng (ed.) et al., Mathematical methods in image processing and inverse problems. Selected papers based on the presentations at the international workshop on image processing and inverse problems, IPIP 2018, Beijing, China, April 21–24, 2018. Singapore: Springer. Springer Proc. Math. Stat. 360, 197-221 (2021). MSC: 68T45 68U10 92C55 94A08 PDF BibTeX XML Cite \textit{Y. Chen} and \textit{J. W. L. Wan}, Springer Proc. Math. Stat. 360, 197--221 (2021; Zbl 07468063) Full Text: DOI OpenURL
Kawamura, Masaya A gradient estimate for the Monge-Ampère equation on compact almost Hermitian manifolds. (English) Zbl 07467755 Ill. J. Math. 65, No. 4, 907-920 (2021). Reviewer: Tobias Shin (Stony Brook) MSC: 32Q60 53C15 53C55 PDF BibTeX XML Cite \textit{M. Kawamura}, Ill. J. Math. 65, No. 4, 907--920 (2021; Zbl 07467755) Full Text: DOI Link OpenURL
El Gasmi, Ayoub The Dirichlet problem for the complex Hessian operator in the class \(\mathcal{N}_m(\Omega,f)\). (English) Zbl 07465736 Math. Scand. 127, No. 2, 287-316 (2021). MSC: 32W50 32W20 35A01 PDF BibTeX XML Cite \textit{A. El Gasmi}, Math. Scand. 127, No. 2, 287--316 (2021; Zbl 07465736) Full Text: DOI OpenURL
Ferapontov, E. V.; Kruglikov, B.; Novikov, V. Integrability of dispersionless Hirota-type equations and the symplectic Monge-Ampère property. (English) Zbl 07456420 Int. Math. Res. Not. 2021, No. 18, 14220-14251 (2021). MSC: 37K10 35J96 PDF BibTeX XML Cite \textit{E. V. Ferapontov} et al., Int. Math. Res. Not. 2021, No. 18, 14220--14251 (2021; Zbl 07456420) Full Text: DOI arXiv OpenURL
Li, Chang; Ni, Lei; Zhu, Xiaohua An application of a \(C^2\)-estimate for a complex Monge-Ampère equation. (English) Zbl 1484.32038 Int. J. Math. 32, No. 12, Article ID 2140007, 13 p. (2021). MSC: 32Q10 32Q15 32W20 53C55 PDF BibTeX XML Cite \textit{C. Li} et al., Int. J. Math. 32, No. 12, Article ID 2140007, 13 p. (2021; Zbl 1484.32038) Full Text: DOI arXiv OpenURL
Wang, Jia Xiang; Zhou, Bin Regularity for a class of singular complex Hessian equations. (English) Zbl 1484.32054 Acta Math. Sin., Engl. Ser. 37, No. 11, 1709-1720 (2021). MSC: 32W20 PDF BibTeX XML Cite \textit{J. X. Wang} and \textit{B. Zhou}, Acta Math. Sin., Engl. Ser. 37, No. 11, 1709--1720 (2021; Zbl 1484.32054) Full Text: DOI OpenURL
Chen, Shibing; Liu, Jiakun; Wang, Xu-Jia Global regularity for the Monge-Ampère equation with natural boundary condition. (English) Zbl 07441735 Ann. Math. (2) 194, No. 3, 745-793 (2021). Reviewer: Jian Lu (Guangzhou) MSC: 35J96 35J25 35B65 PDF BibTeX XML Cite \textit{S. Chen} et al., Ann. Math. (2) 194, No. 3, 745--793 (2021; Zbl 07441735) Full Text: DOI arXiv OpenURL
Guo, Bin; Song, Jian Schauder estimates for equations with cone metrics. I. (English) Zbl 1478.32076 Indiana Univ. Math. J. 70, No. 5, 1639-1676 (2021). MSC: 32Q15 35J99 35K99 32W20 PDF BibTeX XML Cite \textit{B. Guo} and \textit{J. Song}, Indiana Univ. Math. J. 70, No. 5, 1639--1676 (2021; Zbl 1478.32076) Full Text: DOI arXiv OpenURL
Nguyen Xuan Hong; Pham Thi Lieu The Dirichlet problem for the complex Monge-Ampère operator on strictly plurifinely pseudoconvex domains. (English) Zbl 1478.32108 Complex Anal. Oper. Theory 15, No. 8, Paper No. 124, 11 p. (2021). MSC: 32U05 32U15 32U40 PDF BibTeX XML Cite \textit{Nguyen Xuan Hong} and \textit{Pham Thi Lieu}, Complex Anal. Oper. Theory 15, No. 8, Paper No. 124, 11 p. (2021; Zbl 1478.32108) Full Text: DOI OpenURL
Kawamura, Masaya Estimates for the Hessian equation on compact almost Hermitian manifolds. (English) Zbl 1478.32088 Result. Math. 76, No. 4, Paper No. 201, 28 p. (2021). MSC: 32Q60 53C15 32W20 PDF BibTeX XML Cite \textit{M. Kawamura}, Result. Math. 76, No. 4, Paper No. 201, 28 p. (2021; Zbl 1478.32088) Full Text: DOI OpenURL
Huang, Liding; Zhou, Bin The Green’s function for equations with conic metrics. (English) Zbl 1478.35107 Calc. Var. Partial Differ. Equ. 60, No. 6, Paper No. 232, 37 p. (2021). MSC: 35J08 32W20 PDF BibTeX XML Cite \textit{L. Huang} and \textit{B. Zhou}, Calc. Var. Partial Differ. Equ. 60, No. 6, Paper No. 232, 37 p. (2021; Zbl 1478.35107) Full Text: DOI OpenURL
Chu, Jianchun \(C^{1,1}\) regularity of degenerate complex Monge-Ampère equations and some applications. (English) Zbl 1478.32122 Anal. PDE 14, No. 6, 1671-1700 (2021). MSC: 32W20 35J70 35J75 53C25 PDF BibTeX XML Cite \textit{J. Chu}, Anal. PDE 14, No. 6, 1671--1700 (2021; Zbl 1478.32122) Full Text: DOI arXiv OpenURL
Huang, Yong; Liu, Jiakun Noncompact \(L_p\)-Minkowski problems. (English) Zbl 1473.35325 Indiana Univ. Math. J. 70, No. 3, 855-880 (2021). MSC: 35J96 53C45 PDF BibTeX XML Cite \textit{Y. Huang} and \textit{J. Liu}, Indiana Univ. Math. J. 70, No. 3, 855--880 (2021; Zbl 1473.35325) Full Text: DOI arXiv OpenURL
Liu, Jiakun A class of nonlinear optimisation and applications. (English) Zbl 07402087 Methods Appl. Anal. 28, No. 1, 31-52 (2021). MSC: 90C30 35B45 35J60 PDF BibTeX XML Cite \textit{J. Liu}, Methods Appl. Anal. 28, No. 1, 31--52 (2021; Zbl 07402087) Full Text: DOI arXiv OpenURL
Indrei, Emanuel A weighted relative isoperimetric inequality in convex cones. (English) Zbl 1480.35274 Methods Appl. Anal. 28, No. 1, 1-14 (2021). Reviewer: Georgios Psaradakis (Caserta) MSC: 35J96 49Q20 PDF BibTeX XML Cite \textit{E. Indrei}, Methods Appl. Anal. 28, No. 1, 1--14 (2021; Zbl 1480.35274) Full Text: DOI arXiv OpenURL
Hung, V. V.; Quy, H. N. A remark on covering of compact Kähler manifolds and applications. (English) Zbl 1478.32124 Ukr. Math. J. 73, No. 1, 156-169 (2021) and Ukr. Mat. Zh. 73, No. 1, 138-148 (2021). MSC: 32W20 32J27 PDF BibTeX XML Cite \textit{V. V. Hung} and \textit{H. N. Quy}, Ukr. Math. J. 73, No. 1, 156--169 (2021; Zbl 1478.32124) Full Text: DOI OpenURL
Delcroix, Thibaut; Hultgren, Jakob Coupled complex Monge-Ampère equations on Fano horosymmetric manifolds. (English. French summary) Zbl 07395705 J. Math. Pures Appl. (9) 153, 281-315 (2021). Reviewer: Quanting Zhao (Wuhan) MSC: 53C55 14M27 32M12 14J45 32Q15 14L30 32Q20 35J96 PDF BibTeX XML Cite \textit{T. Delcroix} and \textit{J. Hultgren}, J. Math. Pures Appl. (9) 153, 281--315 (2021; Zbl 07395705) Full Text: DOI arXiv OpenURL
Tu, Qiang A class of prescribed shifted Gauss curvature equations for horo-convex hypersurfaces in \(\mathbb{H}^{n+1}\). (English) Zbl 1473.35330 Discrete Contin. Dyn. Syst. 41, No. 11, 5397-5407 (2021). MSC: 35J96 53C45 53A05 35B45 PDF BibTeX XML Cite \textit{Q. Tu}, Discrete Contin. Dyn. Syst. 41, No. 11, 5397--5407 (2021; Zbl 1473.35330) Full Text: DOI OpenURL
Nilsson, Mårten; Wikström, Frank Quasibounded plurisubharmonic functions. (English) Zbl 1482.32027 Int. J. Math. 32, No. 9, Article ID 2150068, 16 p. (2021). Reviewer: Rafał Czyż (Krakow) MSC: 32U05 32U15 31C10 31C05 PDF BibTeX XML Cite \textit{M. Nilsson} and \textit{F. Wikström}, Int. J. Math. 32, No. 9, Article ID 2150068, 16 p. (2021; Zbl 1482.32027) Full Text: DOI arXiv OpenURL
Mohammed, Ahmed; Porru, Giovanni On Monge-Ampère equations with nonlinear gradient terms – infinite boundary value problems. (English) Zbl 1473.35328 J. Differ. Equations 300, 426-457 (2021). MSC: 35J96 35A01 35A02 35B40 PDF BibTeX XML Cite \textit{A. Mohammed} and \textit{G. Porru}, J. Differ. Equations 300, 426--457 (2021; Zbl 1473.35328) Full Text: DOI OpenURL
Chu, Jianchun; McCleerey, Nicholas \(C^{1,1}\) regularity of geodesics of singular Kähler metrics. (English) Zbl 1482.32022 J. Lond. Math. Soc., II. Ser. 104, No. 1, 66-96 (2021). Reviewer: Rafał Czyż (Krakow) MSC: 32Q15 32W20 53C22 35J25 PDF BibTeX XML Cite \textit{J. Chu} and \textit{N. McCleerey}, J. Lond. Math. Soc., II. Ser. 104, No. 1, 66--96 (2021; Zbl 1482.32022) Full Text: DOI arXiv OpenURL
Liu, Zixiao; Bao, Jiguang Asymptotic expansion at infinity of solutions of Monge-Ampère type equations. (English) Zbl 1473.35327 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 212, Article ID 112450, 17 p. (2021). MSC: 35J96 35J93 35B40 PDF BibTeX XML Cite \textit{Z. Liu} and \textit{J. Bao}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 212, Article ID 112450, 17 p. (2021; Zbl 1473.35327) Full Text: DOI arXiv OpenURL
Mooney, Connor Solutions to the Monge-Ampère equation with polyhedral and Y-shaped singularities. (English) Zbl 07389646 J. Geom. Anal. 31, No. 10, 9509-9526 (2021). MSC: 35J96 35B65 35B08 PDF BibTeX XML Cite \textit{C. Mooney}, J. Geom. Anal. 31, No. 10, 9509--9526 (2021; Zbl 07389646) Full Text: DOI arXiv OpenURL
Brenner, Susanne C.; Sung, Li-yeng; Tan, Zhiyu; Zhang, Hongchao A convexity enforcing \(C^0\) interior penalty method for the Monge-Ampère equation on convex polygonal domains. (English) Zbl 1477.65194 Numer. Math. 148, No. 3, 497-524 (2021). MSC: 65N30 65K10 65N15 35G30 35J96 90C06 90C26 35D30 PDF BibTeX XML Cite \textit{S. C. Brenner} et al., Numer. Math. 148, No. 3, 497--524 (2021; Zbl 1477.65194) Full Text: DOI OpenURL
Li, Chang; Zheng, Tao The Dirichlet problem on almost Hermitian manifolds. (English) Zbl 1472.35131 J. Geom. Anal. 31, No. 6, 6452-6480 (2021). MSC: 35J25 35J60 58J05 58J32 35B45 PDF BibTeX XML Cite \textit{C. Li} and \textit{T. Zheng}, J. Geom. Anal. 31, No. 6, 6452--6480 (2021; Zbl 1472.35131) Full Text: DOI OpenURL
Chen, Li; Tu, Qiang; Xiao, Kang Horo-convex hypersurfaces with prescribed shifted Gauss curvatures in \(\pmb{\mathbb{H}}^{n+1}\). (English) Zbl 1482.35103 J. Geom. Anal. 31, No. 6, 6349-6364 (2021). Reviewer: Igor G. Nikolaev (Urbana) MSC: 35J96 52A39 53A05 PDF BibTeX XML Cite \textit{L. Chen} et al., J. Geom. Anal. 31, No. 6, 6349--6364 (2021; Zbl 1482.35103) Full Text: DOI arXiv OpenURL
Chen, Haodi; Li, Qi-Rui The \(L_p\) dual Minkowski problem and related parabolic flows. (English) Zbl 1469.35115 J. Funct. Anal. 281, No. 8, Article ID 109139, 65 p. (2021). MSC: 35K55 35J96 53A05 53E10 PDF BibTeX XML Cite \textit{H. Chen} and \textit{Q.-R. Li}, J. Funct. Anal. 281, No. 8, Article ID 109139, 65 p. (2021; Zbl 1469.35115) Full Text: DOI OpenURL
Wu, Yadong; Xu, Ruiwei On the rigidity theorems for entire Lagrangian translating solitons in pseudo-Euclidean space IV. (English) Zbl 1470.53081 Result. Math. 76, No. 2, Paper No. 59, 13 p. (2021). MSC: 53E10 35J60 53C24 53B30 PDF BibTeX XML Cite \textit{Y. Wu} and \textit{R. Xu}, Result. Math. 76, No. 2, Paper No. 59, 13 p. (2021; Zbl 1470.53081) Full Text: DOI OpenURL
Sheng, Weimin; Wang, Jiaxiang Regularity of weak solutions to a class of complex Hessian equations on Kähler manifolds. (English) Zbl 1474.35204 J. Math. Study 54, No. 2, 171-185 (2021). MSC: 35D30 35B65 32W20 32Q15 PDF BibTeX XML Cite \textit{W. Sheng} and \textit{J. Wang}, J. Math. Study 54, No. 2, 171--185 (2021; Zbl 1474.35204) Full Text: DOI OpenURL
Liu, Jiakun; Wang, Xujia Light refraction is nonlinear optimisation. (English) Zbl 1474.78001 J. Math. Study 54, No. 2, 142-163 (2021). MSC: 78A05 78M50 90C30 PDF BibTeX XML Cite \textit{J. Liu} and \textit{X. Wang}, J. Math. Study 54, No. 2, 142--163 (2021; Zbl 1474.78001) Full Text: DOI OpenURL
Wang, Jiaxiang; Wang, Xu-Jia; Zhou, Bin A priori estimate for the complex Monge-Ampère equation. (English) Zbl 1477.32062 Peking Math. J. 4, No. 1, 143-157 (2021). Reviewer: Rafał Czyż (Krakow) MSC: 32W20 35J60 PDF BibTeX XML Cite \textit{J. Wang} et al., Peking Math. J. 4, No. 1, 143--157 (2021; Zbl 1477.32062) Full Text: DOI OpenURL
O’Neill, Thomas; Cheng, Bin An interior a priori estimate for solutions to Monge-Ampère equations with right-hand side close to a positive constant. (English) Zbl 1467.35195 J. Differ. Equations 290, 178-196 (2021). MSC: 35J96 35B45 PDF BibTeX XML Cite \textit{T. O'Neill} and \textit{B. Cheng}, J. Differ. Equations 290, 178--196 (2021; Zbl 1467.35195) Full Text: DOI arXiv OpenURL
Mei, Xinqun; Zhou, Jundong The interior gradient estimate of prescribed Hessian quotient curvature equation in the hyperbolic space. (English) Zbl 1466.35166 Commun. Pure Appl. Anal. 20, No. 3, 1187-1198 (2021). MSC: 35J60 35J96 35B45 PDF BibTeX XML Cite \textit{X. Mei} and \textit{J. Zhou}, Commun. Pure Appl. Anal. 20, No. 3, 1187--1198 (2021; Zbl 1466.35166) Full Text: DOI OpenURL
Tosatti, Valentino; Weinkove, Ben The complex Monge-Ampère equation with a gradient term. (English) Zbl 1477.32061 Pure Appl. Math. Q. 17, No. 3, 1005-1024 (2021). Reviewer: Rafał Czyż (Krakow) MSC: 32W20 53C55 58J05 PDF BibTeX XML Cite \textit{V. Tosatti} and \textit{B. Weinkove}, Pure Appl. Math. Q. 17, No. 3, 1005--1024 (2021; Zbl 1477.32061) Full Text: DOI arXiv OpenURL
Guedj, Vincent; Lu, Chinh H.; Zeriahi, Ahmed Pluripotential solutions versus viscosity solutions to complex Monge-Ampère flows. (English) Zbl 1478.32123 Pure Appl. Math. Q. 17, No. 3, 971-990 (2021). Reviewer: Dan Coman (Syracuse) MSC: 32W20 53E30 58J35 PDF BibTeX XML Cite \textit{V. Guedj} et al., Pure Appl. Math. Q. 17, No. 3, 971--990 (2021; Zbl 1478.32123) Full Text: DOI arXiv OpenURL
Lee, Ki-Ahm; Lee, Taehun; Park, Jinwan The obstacle problem for the Monge-Ampère equation with the lower obstacle. (English) Zbl 1475.35169 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 210, Article ID 112374, 23 p. (2021). Reviewer: Marek Galewski (Łódź) MSC: 35J96 35A01 35B65 PDF BibTeX XML Cite \textit{K.-A. Lee} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 210, Article ID 112374, 23 p. (2021; Zbl 1475.35169) Full Text: DOI OpenURL
Blanc, Pablo; Charro, Fernando; Manfredi, Juan J.; Rossi, Julio D. A nonlinear mean value property for the Monge-Ampère operator. (English) Zbl 1466.35235 J. Convex Anal. 28, No. 2, 353-386 (2021). MSC: 35J96 PDF BibTeX XML Cite \textit{P. Blanc} et al., J. Convex Anal. 28, No. 2, 353--386 (2021; Zbl 1466.35235) Full Text: arXiv Link OpenURL
Chen, Hongtao; Feng, Xiaobing; Zhang, Zhimin A recovery-based linear \(C^0\) finite element method for a fourth-order singularly perturbed Monge-Ampère equation. (English) Zbl 1465.65132 Adv. Comput. Math. 47, No. 2, Paper No. 21, 37 p. (2021). MSC: 65N30 65N15 35J60 35J96 35D30 35B25 PDF BibTeX XML Cite \textit{H. Chen} et al., Adv. Comput. Math. 47, No. 2, Paper No. 21, 37 p. (2021; Zbl 1465.65132) Full Text: DOI OpenURL
Kołodziej, Sławomir; Nguyen, Ngoc Cuong Continuous solutions to Monge-Ampère equations on Hermitian manifolds for measures dominated by capacity. (English) Zbl 1464.32052 Calc. Var. Partial Differ. Equ. 60, No. 3, Paper No. 93, 18 p. (2021). MSC: 32U40 32W20 53C55 PDF BibTeX XML Cite \textit{S. Kołodziej} and \textit{N. C. Nguyen}, Calc. Var. Partial Differ. Equ. 60, No. 3, Paper No. 93, 18 p. (2021; Zbl 1464.32052) Full Text: DOI arXiv OpenURL
Abja, Soufian; Dinew, Sławomir Regularity of geodesics in the spaces of convex and plurisubharmonic functions. (English) Zbl 1479.35502 Trans. Am. Math. Soc. 374, No. 6, 3783-3800 (2021). Reviewer: Dan Coman (Syracuse) MSC: 35J96 35J70 PDF BibTeX XML Cite \textit{S. Abja} and \textit{S. Dinew}, Trans. Am. Math. Soc. 374, No. 6, 3783--3800 (2021; Zbl 1479.35502) Full Text: DOI arXiv OpenURL
Myga, Szymon Optimal transport on completely integrable toric manifolds. (English) Zbl 1470.32118 J. Geom. Anal. 31, No. 5, 5359-5371 (2021). Reviewer: Rafał Czyz (Krakow) MSC: 32W20 32J27 PDF BibTeX XML Cite \textit{S. Myga}, J. Geom. Anal. 31, No. 5, 5359--5371 (2021; Zbl 1470.32118) Full Text: DOI arXiv OpenURL
Di Nezza, Eleonora Special metrics in Kähler geometry. (English) Zbl 1471.32065 Boll. Unione Mat. Ital. 14, No. 1, 43-49 (2021). MSC: 32W20 32Q15 32Q20 PDF BibTeX XML Cite \textit{E. Di Nezza}, Boll. Unione Mat. Ital. 14, No. 1, 43--49 (2021; Zbl 1471.32065) Full Text: DOI OpenURL
Takimoto, Kazuhiro Precise blowup rate near the boundary of boundary blowup solutions to \(k\)-Hessian equation. (English) Zbl 1465.35265 SN Partial Differ. Equ. Appl. 2, No. 1, Paper No. 12, 10 p. (2021). MSC: 35J96 35B44 PDF BibTeX XML Cite \textit{K. Takimoto}, SN Partial Differ. Equ. Appl. 2, No. 1, Paper No. 12, 10 p. (2021; Zbl 1465.35265) Full Text: DOI OpenURL
Takimoto, Kazuhiro Second order boundary estimate of boundary blowup solutions to \(k\)-Hessian equation. (English) Zbl 1465.35264 J. Math. Anal. Appl. 500, No. 2, Article ID 125155, 12 p. (2021). MSC: 35J96 35B44 35B40 PDF BibTeX XML Cite \textit{K. Takimoto}, J. Math. Anal. Appl. 500, No. 2, Article ID 125155, 12 p. (2021; Zbl 1465.35264) Full Text: DOI OpenURL
Liu, Jiakun Interior \(C^2\) estimate for Monge-Ampère equation in dimension two. (English) Zbl 1475.35171 Proc. Am. Math. Soc. 149, No. 6, 2479-2486 (2021). Reviewer: Jian Lu (Guangzhou) MSC: 35J96 35B65 PDF BibTeX XML Cite \textit{J. Liu}, Proc. Am. Math. Soc. 149, No. 6, 2479--2486 (2021; Zbl 1475.35171) Full Text: DOI arXiv OpenURL
Du, Shi-Zhong On the planar \(L_p\)-Minkowski problem. (English) Zbl 1465.35153 J. Differ. Equations 287, 37-77 (2021). MSC: 35J20 35J60 52A40 PDF BibTeX XML Cite \textit{S.-Z. Du}, J. Differ. Equations 287, 37--77 (2021; Zbl 1465.35153) Full Text: DOI arXiv OpenURL
Jabin, P.-E.; Mellet, A.; Molina-Fructuoso, M. Local regularity result for an optimal transportation problem with rough measures in the plane. (English) Zbl 1462.35158 J. Funct. Anal. 281, No. 2, Article ID 109041, 43 p. (2021). MSC: 35J96 PDF BibTeX XML Cite \textit{P. E. Jabin} et al., J. Funct. Anal. 281, No. 2, Article ID 109041, 43 p. (2021; Zbl 1462.35158) Full Text: DOI arXiv OpenURL
Romijn, L. B.; ten Thije Boonkkamp, J. H. M.; Anthonissen, M. J. H.; Jzerman, W. L. An iterative least-squares method for generated Jacobian equations in freeform optical design. (English) Zbl 1465.78001 SIAM J. Sci. Comput. 43, No. 2, B298-B322 (2021). MSC: 78A05 35J96 49K20 49Q22 65K10 65N08 78M12 35Q60 PDF BibTeX XML Cite \textit{L. B. Romijn} et al., SIAM J. Sci. Comput. 43, No. 2, B298--B322 (2021; Zbl 1465.78001) Full Text: DOI OpenURL
Li, Mengni Global regularity for a class of Monge-Ampère type equations with nonzero boundary conditions. (English) Zbl 1460.35184 Commun. Pure Appl. Anal. 20, No. 1, 301-317 (2021). MSC: 35J96 35J25 35B65 PDF BibTeX XML Cite \textit{M. Li}, Commun. Pure Appl. Anal. 20, No. 1, 301--317 (2021; Zbl 1460.35184) Full Text: DOI OpenURL
Jia, Xiaobiao; Li, Dongsheng The asymptotic behavior of viscosity solutions of Monge-Ampère equations in half space. (English) Zbl 1473.35326 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 206, Article ID 112229, 24 p. (2021). Reviewer: Jian Lu (Guangzhou) MSC: 35J96 35B40 PDF BibTeX XML Cite \textit{X. Jia} and \textit{D. Li}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 206, Article ID 112229, 24 p. (2021; Zbl 1473.35326) Full Text: DOI OpenURL
Cheng, Meifang; Lin, Chin-Cheng; Qu, Meng Characterization of Besov spaces associated with parabolic sections. (English) Zbl 1469.46029 J. Math. Anal. Appl. 497, No. 1, Article ID 124871, 34 p. (2021). Reviewer: Ahmed Youssfi (Fès) MSC: 46E35 35K96 PDF BibTeX XML Cite \textit{M. Cheng} et al., J. Math. Anal. Appl. 497, No. 1, Article ID 124871, 34 p. (2021; Zbl 1469.46029) Full Text: DOI OpenURL
Le, Nam Q. On approximating minimizers of convex functionals with a convexity constraint by singular Abreu equations without uniform convexity. (English) Zbl 1458.49021 Proc. R. Soc. Edinb., Sect. A, Math. 151, No. 1, 356-376 (2021). MSC: 49K30 35B40 35J40 35J96 91B54 PDF BibTeX XML Cite \textit{N. Q. Le}, Proc. R. Soc. Edinb., Sect. A, Math. 151, No. 1, 356--376 (2021; Zbl 1458.49021) Full Text: DOI arXiv OpenURL
Dixon, Kael Global properties of toric nearly Kähler manifolds. (English) Zbl 1469.53069 Ann. Global Anal. Geom. 59, No. 2, 245-261 (2021). Reviewer: Daniele Angella (Firenze) MSC: 53C15 53C55 53D20 PDF BibTeX XML Cite \textit{K. Dixon}, Ann. Global Anal. Geom. 59, No. 2, 245--261 (2021; Zbl 1469.53069) Full Text: DOI arXiv OpenURL
Hai, Le Mau; Quan, Vu Van Hölder continuity for solutions of the complex Monge-Ampère type equation. (English) Zbl 1462.32042 J. Math. Anal. Appl. 494, No. 1, Article ID 124586, 14 p. (2021). Reviewer: Rafał Czyz (Krakow) MSC: 32U05 32W20 PDF BibTeX XML Cite \textit{L. M. Hai} and \textit{V. Van Quan}, J. Math. Anal. Appl. 494, No. 1, Article ID 124586, 14 p. (2021; Zbl 1462.32042) Full Text: DOI OpenURL
Li, Chao; Li, Jiayu; Zhang, Xi Some interior regularity estimates for solutions of complex Monge-Ampère equations on a ball. (English) Zbl 1458.32036 Calc. Var. Partial Differ. Equ. 60, No. 1, Paper No. 34, 17 p. (2021). MSC: 32W20 PDF BibTeX XML Cite \textit{C. Li} et al., Calc. Var. Partial Differ. Equ. 60, No. 1, Paper No. 34, 17 p. (2021; Zbl 1458.32036) Full Text: DOI arXiv OpenURL
Sulman, Mohamed H. M.; Nguyen, T. B.; Haynes, R. D.; Huang, Weizhang Domain decomposition parabolic Monge-Ampère approach for fast generation of adaptive moving meshes. (English) Zbl 07308030 Comput. Math. Appl. 84, 97-111 (2021). MSC: 65-XX 76-XX PDF BibTeX XML Cite \textit{M. H. M. Sulman} et al., Comput. Math. Appl. 84, 97--111 (2021; Zbl 07308030) Full Text: DOI arXiv OpenURL
Sheftel, M. B. Nonlocal symmetry of CMA generates ASD Ricci-flat metric with no Killing vectors. (English) Zbl 1466.83018 J. Math. Phys. 62, No. 1, 013504, 17 p. (2021). Reviewer: P. K. Sahoo (Hyderabad) MSC: 83C15 32W20 53Z05 14J28 PDF BibTeX XML Cite \textit{M. B. Sheftel}, J. Math. Phys. 62, No. 1, 013504, 17 p. (2021; Zbl 1466.83018) Full Text: DOI arXiv OpenURL
Benito, J. J.; García, Angelo; Gavete, L.; Negreanu, M.; Ureña, F.; Vargas, A. M. Solving Monge-Ampère equation in 2D and 3D by generalized finite difference method. (English) Zbl 1464.65159 Eng. Anal. Bound. Elem. 124, 52-63 (2021). MSC: 65N06 65N22 PDF BibTeX XML Cite \textit{J. J. Benito} et al., Eng. Anal. Bound. Elem. 124, 52--63 (2021; Zbl 1464.65159) Full Text: DOI OpenURL
Cheng, Bin; O’Neill, Thomas Interior estimates for Monge-Ampère equation in terms of modulus of continuity. (English) Zbl 1458.35213 J. Funct. Anal. 280, No. 6, Article ID 108893, 34 p. (2021). MSC: 35J96 35B65 PDF BibTeX XML Cite \textit{B. Cheng} and \textit{T. O'Neill}, J. Funct. Anal. 280, No. 6, Article ID 108893, 34 p. (2021; Zbl 1458.35213) Full Text: DOI arXiv OpenURL
Li, Chang; Zheng, Tao The continuity equation of almost Hermitian metrics. (English) Zbl 1457.32063 J. Differ. Equations 274, 1015-1036 (2021). MSC: 32Q60 32W20 35K96 53C15 PDF BibTeX XML Cite \textit{C. Li} and \textit{T. Zheng}, J. Differ. Equations 274, 1015--1036 (2021; Zbl 1457.32063) Full Text: DOI OpenURL
Zhang, Xinguang; Jiang, Jiqiang; Wu, Yonghong; Wiwatanapataphee, Benchawan Iterative properties of solution for a general singular \(n\)-Hessian equation with decreasing nonlinearity. (English) Zbl 1472.65066 Appl. Math. Lett. 112, Article ID 106826, 10 p. (2021). Reviewer: Narahari Parhi (Bhubaneswar) MSC: 65J15 35J96 PDF BibTeX XML Cite \textit{X. Zhang} et al., Appl. Math. Lett. 112, Article ID 106826, 10 p. (2021; Zbl 1472.65066) Full Text: DOI OpenURL
Dai, Limei The exterior Dirichlet problems of Monge-Ampère equations in dimension two. (English) Zbl 07509814 Bound. Value Probl. 2020, Paper No. 179, 16 p. (2020). MSC: 35J96 35J25 35A01 35B40 PDF BibTeX XML Cite \textit{L. Dai}, Bound. Value Probl. 2020, Paper No. 179, 16 p. (2020; Zbl 07509814) Full Text: DOI OpenURL
Romijn, Lotte B.; ten Thije Boonkkamp, Jan H. M.; IJzerman, Wilbert L. Inverse reflector design for a point source and far-field target. (English) Zbl 07505618 J. Comput. Phys. 408, Article ID 109283, 23 p. (2020). MSC: 65-XX 78-XX PDF BibTeX XML Cite \textit{L. B. Romijn} et al., J. Comput. Phys. 408, Article ID 109283, 23 p. (2020; Zbl 07505618) Full Text: DOI OpenURL
Zhang, Xi Some results on the complex Monge-Ampère equation. (Chinese. English summary) Zbl 07494909 Sci. Sin., Math. 50, No. 8, 1045-1060 (2020). MSC: 32W20 35J96 35K96 PDF BibTeX XML Cite \textit{X. Zhang}, Sci. Sin., Math. 50, No. 8, 1045--1060 (2020; Zbl 07494909) Full Text: DOI OpenURL
Zhu, Xiaohua The existence problem of Kähler-Einstein metrics on compact complex manifolds with positive first Chern class. (Chinese. English summary) Zbl 07494871 Sci. Sin., Math. 50, No. 3, 339-366 (2020). MSC: 32Q20 53C25 53C55 PDF BibTeX XML Cite \textit{X. Zhu}, Sci. Sin., Math. 50, No. 3, 339--366 (2020; Zbl 07494871) Full Text: DOI OpenURL
Berjawi, S.; Ferapontov, E. V.; Kruglikov, B.; Novikov, V. Second-order PDEs in four dimensions with half-flat conformal structure. (English) Zbl 1472.35160 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2233, Article ID 20190642, 11 p. (2020). MSC: 35J60 PDF BibTeX XML Cite \textit{S. Berjawi} et al., Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2233, Article ID 20190642, 11 p. (2020; Zbl 1472.35160) Full Text: DOI arXiv Link OpenURL
Savin, Ovidiu; Zhang, Qian Boundary regularity for Monge-Ampère equations with unbounded right hand side. (English) Zbl 1482.35104 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 20, No. 4, 1581-1619 (2020). Reviewer: Igor G. Nikolaev (Urbana) MSC: 35J96 35J70 PDF BibTeX XML Cite \textit{O. Savin} and \textit{Q. Zhang}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 20, No. 4, 1581--1619 (2020; Zbl 1482.35104) Full Text: DOI arXiv OpenURL
Mérigot, Quentin; Thibert, Boris Mirrors, lenses and Monge-Ampère equations. (Miroirs, lentilles et équations de Monge-Ampère.) (French) Zbl 1471.35174 Gaz. Math., Soc. Math. Fr. 166, 6-21 (2020). MSC: 35J96 PDF BibTeX XML Cite \textit{Q. Mérigot} and \textit{B. Thibert}, Gaz. Math., Soc. Math. Fr. 166, 6--21 (2020; Zbl 1471.35174) OpenURL
Goldman, Michael An \(\varepsilon\)-regularity result for optimal transport maps between continuous densities. (English) Zbl 07367176 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 31, No. 4, 971-979 (2020). MSC: 49Q22 35A15 35J20 35J96 PDF BibTeX XML Cite \textit{M. Goldman}, Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 31, No. 4, 971--979 (2020; Zbl 07367176) Full Text: DOI arXiv OpenURL
Zhang, Xuemei; Feng, Meiqiang Boundary blow-up solutions to the Monge-Ampère equation: sharp conditions and asymptotic behavior. (English) Zbl 1466.35237 Adv. Nonlinear Anal. 9, 729-744 (2020). MSC: 35J96 35B40 35B44 35A01 PDF BibTeX XML Cite \textit{X. Zhang} and \textit{M. Feng}, Adv. Nonlinear Anal. 9, 729--744 (2020; Zbl 1466.35237) Full Text: DOI OpenURL
Goldman, Michael; Otto, Felix A variational proof of partial regularity for optimal transportation maps. (English) Zbl 1465.35263 Ann. Sci. Éc. Norm. Supér. (4) 53, No. 5, 1209-1233 (2020). MSC: 35J96 35A15 PDF BibTeX XML Cite \textit{M. Goldman} and \textit{F. Otto}, Ann. Sci. Éc. Norm. Supér. (4) 53, No. 5, 1209--1233 (2020; Zbl 1465.35263) Full Text: DOI arXiv OpenURL
Guo, Xi; Wei, Niannian; Xiang, Ni; Pan, Cen Monge-Ampère type equations with Neumann boundary conditions on Riemannian manifolds. (Chinese. English summary) Zbl 1474.35341 Chin. Ann. Math., Ser. A 41, No. 3, 283-298 (2020). MSC: 35J96 35R01 58J05 PDF BibTeX XML Cite \textit{X. Guo} et al., Chin. Ann. Math., Ser. A 41, No. 3, 283--298 (2020; Zbl 1474.35341) Full Text: DOI OpenURL
Kokonendji, Célestin C.; Moypemna Sembona, Cyrille C.; Nisa, Khoirin A complete characterization of multivariate normal stable Tweedie models through a Monge-Ampère property. (English) Zbl 1462.62323 Acta Math. Sin., Engl. Ser. 36, No. 11, 1232-1244 (2020). MSC: 62H12 62H05 62J10 62E10 60E07 PDF BibTeX XML Cite \textit{C. C. Kokonendji} et al., Acta Math. Sin., Engl. Ser. 36, No. 11, 1232--1244 (2020; Zbl 1462.62323) Full Text: DOI OpenURL