Auvray, Hugues From ALE to ALF gravitational instantons. (English) Zbl 1401.53066 Compos. Math. 154, No. 6, 1159-1221 (2018). Reviewer: Gabor Etesi (Budapest) MSC: 53C80 53C21 53C26 81T13 PDFBibTeX XMLCite \textit{H. Auvray}, Compos. Math. 154, No. 6, 1159--1221 (2018; Zbl 1401.53066) Full Text: DOI arXiv
Vu, Duc-Viet Complex Monge-Ampère equation for measures supported on real submanifolds. (English) Zbl 1441.32013 Math. Ann. 372, No. 1-2, 321-367 (2018). Reviewer: Emil J. Straube (College Station) MSC: 32W20 32V20 PDFBibTeX XMLCite \textit{D.-V. Vu}, Math. Ann. 372, No. 1--2, 321--367 (2018; Zbl 1441.32013) Full Text: DOI arXiv
Chen, Yangang; Wan, Justin W. L. Numerical method for image registration model based on optimal mass transport. (English) Zbl 1397.65222 Inverse Probl. Imaging 12, No. 2, 401-432 (2018). MSC: 65N06 65N22 35J96 35J60 65K05 35B40 35F21 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{J. W. L. Wan}, Inverse Probl. Imaging 12, No. 2, 401--432 (2018; Zbl 1397.65222) Full Text: DOI
Hong, Jin; Han, Fei The interior \(C^2\) estimate for equation \(\det D^2 u = f(x, \nabla u)\) in dimension two. (English) Zbl 1400.35150 Int. J. Math. 29, No. 9, Article ID 1850059, 15 p. (2018). MSC: 35J96 35B45 35B65 PDFBibTeX XMLCite \textit{J. Hong} and \textit{F. Han}, Int. J. Math. 29, No. 9, Article ID 1850059, 15 p. (2018; Zbl 1400.35150) Full Text: DOI
Maldonado, Diego On interior \(C^2\)-estimates for the Monge-Ampère equation. (English) Zbl 1411.35130 Discrete Contin. Dyn. Syst. 38, No. 3, 1427-1440 (2018). Reviewer: Igor G. Nikolaev (Urbana) MSC: 35J96 35B45 35B65 35J70 PDFBibTeX XMLCite \textit{D. Maldonado}, Discrete Contin. Dyn. Syst. 38, No. 3, 1427--1440 (2018; Zbl 1411.35130) Full Text: DOI
Kalka, Morris; Patrizio, Giorgio; Spiro, Andrea Monge-Ampère exhaustions of almost homogeneous manifolds. (English) Zbl 1404.32068 Asian J. Math. 22, No. 3, 523-544 (2018). Reviewer: Marek Jarnicki (Kraków) MSC: 32U10 32W20 32M12 32G05 PDFBibTeX XMLCite \textit{M. Kalka} et al., Asian J. Math. 22, No. 3, 523--544 (2018; Zbl 1404.32068) Full Text: DOI arXiv
Vu, Duc-Viet Families of Monge-Ampère measures with Hölder continuous potentials. (English) Zbl 1404.32076 Proc. Am. Math. Soc. 146, No. 10, 4275-4282 (2018). Reviewer: Rafał Czyz (Krakow) MSC: 32W20 32Q15 32U40 PDFBibTeX XMLCite \textit{D.-V. Vu}, Proc. Am. Math. Soc. 146, No. 10, 4275--4282 (2018; Zbl 1404.32076) Full Text: DOI arXiv
Kalise, Dante (ed.); Kunisch, Karl (ed.); Rao, Zhiping (ed.) Hamilton-Jacobi-Bellman equations. Numerical methods and applications in optimal control. Based on the workshop “Numerical methods for Hamilton-Jacobi equations in optimal control and related fields”, Linz, Austria, November 21–25, 2016. (English) Zbl 1398.49002 Radon Series on Computational and Applied Mathematics 21. Berlin: De Gruyter (ISBN 978-3-11-054263-9/hbk; 978-3-11-054359-9/ebook). xii, 197 p. (2018). MSC: 49-06 49J20 90C39 93B52 65K15 00B25 PDFBibTeX XMLCite \textit{D. Kalise} (ed.) et al., Hamilton-Jacobi-Bellman equations. Numerical methods and applications in optimal control. Based on the workshop ``Numerical methods for Hamilton-Jacobi equations in optimal control and related fields'', Linz, Austria, November 21--25, 2016. Berlin: De Gruyter (2018; Zbl 1398.49002) Full Text: DOI
Dai, Guowei; Luo, Hua Global structure of admissible solutions for the \(k\)-Hessian equation on bounded domain. (English) Zbl 1524.35235 Appl. Math. Lett. 84, 155-159 (2018). MSC: 35J60 35J96 35B32 PDFBibTeX XMLCite \textit{G. Dai} and \textit{H. Luo}, Appl. Math. Lett. 84, 155--159 (2018; Zbl 1524.35235) Full Text: DOI
Zhang, Wei; Bao, Jiguang A Calabi theorem for solutions to the parabolic Monge-Ampère equation with periodic data. (Un théorème de Calabi pour les solutions de l’équation de Monge-Ampère avec données periodiques.) (English. French summary) Zbl 1439.35310 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 35, No. 5, 1143-1173 (2018). MSC: 35K96 35B10 PDFBibTeX XMLCite \textit{W. Zhang} and \textit{J. Bao}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 35, No. 5, 1143--1173 (2018; Zbl 1439.35310) Full Text: DOI
Darvas, Tamás; Di Nezza, Eleonora; Lu, Chinh H. Monotonicity of nonpluripolar products and complex Monge-Ampère equations with prescribed singularity. (English) Zbl 1396.32011 Anal. PDE 11, No. 8, 2049-2087 (2018). Reviewer: Marek Jarnicki (Kraków) MSC: 32Q15 32U05 32W20 32Q20 PDFBibTeX XMLCite \textit{T. Darvas} et al., Anal. PDE 11, No. 8, 2049--2087 (2018; Zbl 1396.32011) Full Text: DOI arXiv
Huang, Yong; Zhao, Yiming On the \(L_p\) dual Minkowski problem. (English) Zbl 1393.52007 Adv. Math. 332, 57-84 (2018). Reviewer: George Stoica (Saint John) MSC: 52A40 52A38 35J96 35J20 PDFBibTeX XMLCite \textit{Y. Huang} and \textit{Y. Zhao}, Adv. Math. 332, 57--84 (2018; Zbl 1393.52007) Full Text: DOI
Le, Nam Q. Hölder regularity of the 2D dual semigeostrophic equations via analysis of linearized Monge-Ampère equations. (English) Zbl 1392.35174 Commun. Math. Phys. 360, No. 1, 271-305 (2018). MSC: 35J96 PDFBibTeX XMLCite \textit{N. Q. Le}, Commun. Math. Phys. 360, No. 1, 271--305 (2018; Zbl 1392.35174) Full Text: DOI arXiv
Berman, Robert J.; Önnheim, Magnus Propagation of chaos, Wasserstein gradient flows and toric Kähler-Einstein metrics. (English) Zbl 1434.82063 Anal. PDE 11, No. 6, 1343-1380 (2018). MSC: 82C31 82C22 32Q20 32W20 PDFBibTeX XMLCite \textit{R. J. Berman} and \textit{M. Önnheim}, Anal. PDE 11, No. 6, 1343--1380 (2018; Zbl 1434.82063) Full Text: DOI arXiv
Li, Chao; Li, Jiayu; Zhang, Xi A \(\mathcal{C}^{2, \alpha}\) estimate of the complex Monge-Ampère equation. (English) Zbl 1392.32019 J. Funct. Anal. 275, No. 1, 149-169 (2018). MSC: 32W20 PDFBibTeX XMLCite \textit{C. Li} et al., J. Funct. Anal. 275, No. 1, 149--169 (2018; Zbl 1392.32019) Full Text: DOI arXiv
Zhang, Xuemei; Du, Yihong Sharp conditions for the existence of boundary blow-up solutions to the Monge-Ampère equation. (English) Zbl 1410.35051 Calc. Var. Partial Differ. Equ. 57, No. 2, Paper No. 30, 24 p. (2018). Reviewer: Georgios Psaradakis (Mannheim) MSC: 35J96 35B44 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{Y. Du}, Calc. Var. Partial Differ. Equ. 57, No. 2, Paper No. 30, 24 p. (2018; Zbl 1410.35051) Full Text: DOI
Chu, Jianchun; Tosatti, Valentino; Weinkove, Ben \(C^{1,1}\) regularity for degenerate complex Monge-Ampère equations and geodesic rays. (English) Zbl 1404.32075 Commun. Partial Differ. Equations 43, No. 2, 292-312 (2018). Reviewer: Dan Coman (Syracuse) MSC: 32W20 35J96 32Q15 53C55 PDFBibTeX XMLCite \textit{J. Chu} et al., Commun. Partial Differ. Equations 43, No. 2, 292--312 (2018; Zbl 1404.32075) Full Text: DOI arXiv
Zhang, Zhijun Refined boundary behavior of the unique convex solution to a singular Dirichlet problem for the Monge-Ampère equation. (English) Zbl 1392.35175 Adv. Nonlinear Stud. 18, No. 2, 289-302 (2018). MSC: 35J96 35J25 PDFBibTeX XMLCite \textit{Z. Zhang}, Adv. Nonlinear Stud. 18, No. 2, 289--302 (2018; Zbl 1392.35175) Full Text: DOI
McRae, Andrew T. T.; Cotter, Colin J.; Budd, Chris J. Optimal-transport – based mesh adaptivity on the plane and sphere using finite elements. (English) Zbl 1448.65143 SIAM J. Sci. Comput. 40, No. 2, A1121-A1148 (2018). MSC: 65M50 65N30 35J96 35K96 35R01 PDFBibTeX XMLCite \textit{A. T. T. McRae} et al., SIAM J. Sci. Comput. 40, No. 2, A1121--A1148 (2018; Zbl 1448.65143) Full Text: DOI arXiv
Nomura, Ryosuke Blow-up rate of the scalar curvature along the conical Kähler-Ricci flow with finite time singularities. (English) Zbl 1390.53077 Differ. Geom. Appl. 58, 1-16 (2018). MSC: 53C55 32W20 PDFBibTeX XMLCite \textit{R. Nomura}, Differ. Geom. Appl. 58, 1--16 (2018; Zbl 1390.53077) Full Text: DOI arXiv
Gutiérrez, Cristian E.; Sabra, Ahmad Freeform lens design for scattering data with general radiant fields. (English) Zbl 1393.78002 Arch. Ration. Mech. Anal. 228, No. 2, 341-399 (2018). Reviewer: Eric Stachura (Marietta) MSC: 78A05 35J96 35Q60 35R06 35R30 44A15 78A45 PDFBibTeX XMLCite \textit{C. E. Gutiérrez} and \textit{A. Sabra}, Arch. Ration. Mech. Anal. 228, No. 2, 341--399 (2018; Zbl 1393.78002) Full Text: DOI
Crasmareanu, Mircea; Pişcoran, Laurian-Ioan Wick-Tzitzeica solitons and their Monge-Ampèr equation. (Wick-Tzitzeica solitons and their Monge-Ampér equation.) (English) Zbl 1395.53005 Int. J. Geom. Methods Mod. Phys. 15, No. 5, Article ID 1850082, 9 p. (2018). Reviewer: James P. Howard II (Columbia) MSC: 53A05 53A15 53Z05 35Q51 PDFBibTeX XMLCite \textit{M. Crasmareanu} and \textit{L.-I. Pişcoran}, Int. J. Geom. Methods Mod. Phys. 15, No. 5, Article ID 1850082, 9 p. (2018; Zbl 1395.53005) Full Text: DOI
Lu, Jian Nonexistence of maximizers for the functional of the centroaffine Minkowski problem. (English) Zbl 1388.35075 Sci. China, Math. 61, No. 3, 511-516 (2018). MSC: 35J96 35J75 53A15 PDFBibTeX XMLCite \textit{J. Lu}, Sci. China, Math. 61, No. 3, 511--516 (2018; Zbl 1388.35075) Full Text: DOI
Hong, Nguyen Xuan Range of the complex Monge-Ampère operator on plurifinely domain. (English) Zbl 1387.32038 Complex Var. Elliptic Equ. 63, No. 4, 532-546 (2018). MSC: 32U05 32U15 32W20 PDFBibTeX XMLCite \textit{N. X. Hong}, Complex Var. Elliptic Equ. 63, No. 4, 532--546 (2018; Zbl 1387.32038) Full Text: DOI
Jian, Huaiyu; Li, You Optimal boundary regularity for a singular Monge-Ampère equation. (English) Zbl 1388.35050 J. Differ. Equations 264, No. 11, 6873-6890 (2018). MSC: 35J60 35J67 53C45 PDFBibTeX XMLCite \textit{H. Jian} and \textit{Y. Li}, J. Differ. Equations 264, No. 11, 6873--6890 (2018; Zbl 1388.35050) Full Text: DOI
Li, Dongsheng; Li, Zhisu On the exterior Dirichlet problem for Hessian quotient equations. (English) Zbl 1392.35105 J. Differ. Equations 264, No. 11, 6633-6662 (2018). MSC: 35J15 35J25 35J60 35J96 PDFBibTeX XMLCite \textit{D. Li} and \textit{Z. Li}, J. Differ. Equations 264, No. 11, 6633--6662 (2018; Zbl 1392.35105) Full Text: DOI arXiv
Nguyen, Ngoc Cuong On the Hölder continuous subsolution problem for the complex Monge-Ampère equation. (English) Zbl 1388.32029 Calc. Var. Partial Differ. Equ. 57, No. 1, Paper No. 8, 15 p. (2018). Reviewer: Gabor Etesi (Budapest) MSC: 32W20 32U05 PDFBibTeX XMLCite \textit{N. C. Nguyen}, Calc. Var. Partial Differ. Equ. 57, No. 1, Paper No. 8, 15 p. (2018; Zbl 1388.32029) Full Text: DOI arXiv
Lu, Jian A generalized rotationally symmetric case of the centroaffine Minkowski problem. (English) Zbl 1393.35067 J. Differ. Equations 264, No. 9, 5838-5869 (2018). Reviewer: Dian K. Palagachev (Bari) MSC: 35J96 35J75 58J05 PDFBibTeX XMLCite \textit{J. Lu}, J. Differ. Equations 264, No. 9, 5838--5869 (2018; Zbl 1393.35067) Full Text: DOI
Ożański, Wojciech S. A generalised comparison principle for the Monge-Ampère equation and the pressure in 2D fluid flows. (Un principe de comparaison généralisé pour l’équation de Monge-Ampère et la pression dans les écoulements fluides en dimension 2.) (English. French summary) Zbl 1393.35068 C. R., Math., Acad. Sci. Paris 356, No. 2, 198-206 (2018). Reviewer: Petar Popivanov (Sofia) MSC: 35J96 35J25 76D05 PDFBibTeX XMLCite \textit{W. S. Ożański}, C. R., Math., Acad. Sci. Paris 356, No. 2, 198--206 (2018; Zbl 1393.35068) Full Text: DOI arXiv
Feng, Ke; Shi, Ya Long; Xu, Yi Yan On the Dirichlet problem for a class of singular complex Monge-Ampère equations. (English) Zbl 1396.32020 Acta Math. Sin., Engl. Ser. 34, No. 2, 209-220 (2018). Reviewer: Slawomir Kołodziej (Kraków) MSC: 32W20 35J75 53C55 PDFBibTeX XMLCite \textit{K. Feng} et al., Acta Math. Sin., Engl. Ser. 34, No. 2, 209--220 (2018; Zbl 1396.32020) Full Text: DOI
Darvas, Tamás; Di Nezza, Eleonora; Lu, Chinh H. On the singularity type of full mass currents in big cohomology classes. (English) Zbl 1398.32042 Compos. Math. 154, No. 2, 380-409 (2018). Reviewer: Rafał Czyz (Krakow) MSC: 32W20 32Q15 32U05 53C55 PDFBibTeX XMLCite \textit{T. Darvas} et al., Compos. Math. 154, No. 2, 380--409 (2018; Zbl 1398.32042) Full Text: DOI arXiv
Maddalena, Francesco; Percivale, Danilo; Tomarelli, Franco Variational problems for Föppl-von Kármán plates. (English) Zbl 1394.49014 SIAM J. Math. Anal. 50, No. 1, 251-282 (2018). MSC: 49J45 74P10 74K30 74K35 74R10 PDFBibTeX XMLCite \textit{F. Maddalena} et al., SIAM J. Math. Anal. 50, No. 1, 251--282 (2018; Zbl 1394.49014) Full Text: DOI arXiv
Jian, Huaiyu; Lu, Jian; Wang, Xu-Jia A priori estimates and existence of solutions to the prescribed centroaffine curvature problem. (English) Zbl 1439.35179 J. Funct. Anal. 274, No. 3, 826-862 (2018). MSC: 35J96 35A01 35B45 PDFBibTeX XMLCite \textit{H. Jian} et al., J. Funct. Anal. 274, No. 3, 826--862 (2018; Zbl 1439.35179) Full Text: DOI Link
Le, Nam Q. On the Harnack inequality for degenerate and singular elliptic equations with unbounded lower order terms via sliding paraboloids. (English) Zbl 1380.35035 Commun. Contemp. Math. 20, No. 1, Article ID 1750012, 38 p. (2018). Reviewer: Vincenzo Vespri (Firenze) MSC: 35B45 35B65 35J60 35J70 35J75 PDFBibTeX XMLCite \textit{N. Q. Le}, Commun. Contemp. Math. 20, No. 1, Article ID 1750012, 38 p. (2018; Zbl 1380.35035) Full Text: DOI arXiv
Zhang, Zhijun Large solutions to the Monge-Ampère equations with nonlinear gradient terms: existence and boundary behavior. (English) Zbl 1379.35157 J. Differ. Equations 264, No. 1, 263-296 (2018). Reviewer: Dian K. Palagachev (Bari) MSC: 35J96 35A02 35B44 PDFBibTeX XMLCite \textit{Z. Zhang}, J. Differ. Equations 264, No. 1, 263--296 (2018; Zbl 1379.35157) Full Text: DOI
Li, Xiuzhan; Wang, Zenggui The lifespan of classical solution to the Cauchy problem for the hyperbolic mean curvature flow. (Chinese. English summary) Zbl 1499.35010 Sci. Sin., Math. 47, No. 8, 953-968 (2017). MSC: 35A09 35L45 53E10 58J45 58J47 PDFBibTeX XMLCite \textit{X. Li} and \textit{Z. Wang}, Sci. Sin., Math. 47, No. 8, 953--968 (2017; Zbl 1499.35010) Full Text: DOI
Hai, Duong Quang; Thomas, Pascal J. Limit of Green functions and ideals, the case of four poles. (English) Zbl 1405.32056 Andersson, Mats (ed.) et al., Analysis meets geometry. The Mikael Passare memorial volume. Cham: Birkhäuser/Springer (ISBN 978-3-319-52469-6/hbk; 978-3-319-52471-9/ebook). Trends in Mathematics, 213-227 (2017). MSC: 32U35 32A27 PDFBibTeX XMLCite \textit{D. Q. Hai} and \textit{P. J. Thomas}, in: Analysis meets geometry. The Mikael Passare memorial volume. Cham: Birkhäuser/Springer. 213--227 (2017; Zbl 1405.32056) Full Text: DOI arXiv
Berman, Robert J. On the optimal regularity of weak geodesics in the space of metrics on a polarized manifold. (English) Zbl 1405.32021 Andersson, Mats (ed.) et al., Analysis meets geometry. The Mikael Passare memorial volume. Cham: Birkhäuser/Springer (ISBN 978-3-319-52469-6/hbk; 978-3-319-52471-9/ebook). Trends in Mathematics, 111-120 (2017). MSC: 32J27 32W20 PDFBibTeX XMLCite \textit{R. J. Berman}, in: Analysis meets geometry. The Mikael Passare memorial volume. Cham: Birkhäuser/Springer. 111--120 (2017; Zbl 1405.32021) Full Text: DOI arXiv
Rakhmelevich, I. V. Modified two-dimensional Monge-Ampere equation. (Russian. English summary) Zbl 1403.35119 Vestn. Voronezh. Gos. Univ., Ser. Fiz. Mat. 2017, No. 3, 159-168 (2017). MSC: 35J96 35B65 PDFBibTeX XMLCite \textit{I. V. Rakhmelevich}, Vestn. Voronezh. Gos. Univ., Ser. Fiz. Mat. 2017, No. 3, 159--168 (2017; Zbl 1403.35119)
Chu, Jianchun; Tosatti, Valentino; Weinkove, Ben On the \(C^{1,1}\) regularity of geodesics in the space of Kähler metrics. (English) Zbl 1397.35050 Ann. PDE 3, No. 2, Paper No. 15, 12 p. (2017). MSC: 35B65 35J96 PDFBibTeX XMLCite \textit{J. Chu} et al., Ann. PDE 3, No. 2, Paper No. 15, 12 p. (2017; Zbl 1397.35050) Full Text: DOI arXiv
Liu, Jun; Froese, Brittany D.; Oberman, Adam M.; Xiao, Mingqing A multigrid scheme for 3D Monge-Ampère equations. (English) Zbl 1394.65130 Int. J. Comput. Math. 94, No. 9, 1850-1866 (2017). MSC: 65N06 65N22 65N55 65N12 35J96 PDFBibTeX XMLCite \textit{J. Liu} et al., Int. J. Comput. Math. 94, No. 9, 1850--1866 (2017; Zbl 1394.65130) Full Text: DOI arXiv
Xiang, Ni; Wu, Yan; Dou, Nan; Zhang, Junwei The Cauchy-Neumann problem for parabolic type and Monge-Ampère type equations. (Chinese. English summary) Zbl 1399.35256 J. Math., Wuhan Univ. 37, No. 6, 1261-1274 (2017). MSC: 35K96 35K20 PDFBibTeX XMLCite \textit{N. Xiang} et al., J. Math., Wuhan Univ. 37, No. 6, 1261--1274 (2017; Zbl 1399.35256) Full Text: DOI
Rubina, Lyudmila Il’inichna; Ul’yanov, Oleg Nikolaevich On one approach to solving nonhomogeneous partial differential equations. (Russian. English summary) Zbl 1394.35085 Vestn. Udmurt. Univ., Mat. Mekh. Komp’yut. Nauki 27, No. 3, 355-364 (2017). MSC: 35C05 35A24 PDFBibTeX XMLCite \textit{L. I. Rubina} and \textit{O. N. Ul'yanov}, Vestn. Udmurt. Univ., Mat. Mekh. Komp'yut. Nauki 27, No. 3, 355--364 (2017; Zbl 1394.35085) Full Text: DOI
Diverio, Simone Quasi-negative holomorphic sectional curvature and ampleness of the canonical class. (English) Zbl 1388.53073 Angella, Daniele (ed.) et al., Complex and symplectic geometry. Based on the presentations at the INdAM meeting “Complex and symplectic geometry”, Cortona, Italy, June 12–18, 2016. Cham: Springer (ISBN 978-3-319-62913-1/hbk; 978-3-319-62914-8/ebook). Springer INdAM Series 21, 61-71 (2017). MSC: 53C55 PDFBibTeX XMLCite \textit{S. Diverio}, Springer INdAM Ser. 21, 61--71 (2017; Zbl 1388.53073) Full Text: DOI
Li, Qi-Rui Two-dimensional Monge-Ampère equations under incomplete Hölder assumptions. (English) Zbl 1390.35105 Math. Res. Lett. 24, No. 2, 481-502 (2017). MSC: 35J96 35B65 PDFBibTeX XMLCite \textit{Q.-R. Li}, Math. Res. Lett. 24, No. 2, 481--502 (2017; Zbl 1390.35105) Full Text: DOI
Kolesnikov, A. V.; Klartag, B. Remarks on curvature in the transportation metric. (English) Zbl 1399.35211 Anal. Math. 43, No. 1, 67-88 (2017). MSC: 35J96 53C25 53C21 PDFBibTeX XMLCite \textit{A. V. Kolesnikov} and \textit{B. Klartag}, Anal. Math. 43, No. 1, 67--88 (2017; Zbl 1399.35211) Full Text: DOI arXiv
Collins, Tristan C.; Székelyhidi, Gábor Convergence of the \(J\)-flow on toric manifolds. (English) Zbl 1392.53072 J. Differ. Geom. 107, No. 1, 47-81 (2017). Reviewer: Vasyl Gorkaviy (Kharkov) MSC: 53C44 53C55 32Q25 PDFBibTeX XMLCite \textit{T. C. Collins} and \textit{G. Székelyhidi}, J. Differ. Geom. 107, No. 1, 47--81 (2017; Zbl 1392.53072) Full Text: DOI arXiv Euclid
Brandolini, Barbara; Díaz, Jesús Ildefonso Perimeter symmetrization of some dynamic and stationary equations involving the Monge-Ampère operator. (English) Zbl 1387.35387 Colli, Pierluigi (ed.) et al., Solvability, regularity, and optimal control of boundary value problems for PDEs. In honour of Prof. Gianni Gilardi. Cham: Springer (ISBN 978-3-319-64488-2/hbk; 978-3-319-64489-9/ebook). Springer INdAM Series 22, 119-149 (2017). MSC: 35K92 35K55 35J65 35B05 PDFBibTeX XMLCite \textit{B. Brandolini} and \textit{J. I. Díaz}, Springer INdAM Ser. 22, 119--149 (2017; Zbl 1387.35387) Full Text: DOI
Székelyhidi, Gábor; Tosatti, Valentino; Weinkove, Ben Gauduchon metrics with prescribed volume form. (English) Zbl 1396.32010 Acta Math. 219, No. 1, 181-211 (2017). Reviewer: Daniele Angella (Firenze) MSC: 32J27 53C55 32Q25 32W20 35J60 58J05 PDFBibTeX XMLCite \textit{G. Székelyhidi} et al., Acta Math. 219, No. 1, 181--211 (2017; Zbl 1396.32010) Full Text: DOI arXiv
Charabati, Mohamad Regularity of solutions to the Dirichlet problem for Monge-Ampère equations. (English) Zbl 1393.32021 Indiana Univ. Math. J. 66, No. 6, 2187-2204 (2017). Reviewer: Marek Jarnicki (Kraków) MSC: 32W20 32U15 PDFBibTeX XMLCite \textit{M. Charabati}, Indiana Univ. Math. J. 66, No. 6, 2187--2204 (2017; Zbl 1393.32021) Full Text: DOI arXiv Link
Do, Hoang Son Weak solution of parabolic complex Monge-Ampère equation. (English) Zbl 1398.32043 Indiana Univ. Math. J. 66, No. 6, 1949-1979 (2017). Reviewer: Rafał Czyz (Krakow) MSC: 32W20 35K55 32U05 PDFBibTeX XMLCite \textit{H. S. Do}, Indiana Univ. Math. J. 66, No. 6, 1949--1979 (2017; Zbl 1398.32043) Full Text: DOI arXiv Link
Zhang, Xuemei; Feng, Meiqiang Nontrivial convex solutions on a parameter of impulsive differential equation with Monge-Ampère operator. (English) Zbl 1382.34029 Bound. Value Probl. 2017, Paper No. 172, 17 p. (2017). MSC: 34B37 34B09 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{M. Feng}, Bound. Value Probl. 2017, Paper No. 172, 17 p. (2017; Zbl 1382.34029) Full Text: DOI
de Borbon, Martin Kähler metrics with cone singularities along a divisor of bounded Ricci curvature. (English) Zbl 1390.32020 Ann. Global Anal. Geom. 52, No. 4, 457-464 (2017). Reviewer: Rafał Czyz (Krakow) MSC: 32Q20 32W20 PDFBibTeX XMLCite \textit{M. de Borbon}, Ann. Global Anal. Geom. 52, No. 4, 457--464 (2017; Zbl 1390.32020) Full Text: DOI arXiv
Lin, Zhicheng; Wang, Gang; Wang, Erxiao Dressing actions on proper definite affine spheres. (English) Zbl 1394.53016 Asian J. Math. 21, No. 2, 363-390 (2017). Reviewer: Luc Vrancken (Valenciennes) MSC: 53A15 35Q35 37K25 PDFBibTeX XMLCite \textit{Z. Lin} et al., Asian J. Math. 21, No. 2, 363--390 (2017; Zbl 1394.53016) Full Text: DOI arXiv
Li, Xiaolong; Wang, Kui Nonparametric hypersurfaces moving by powers of Gauss curvature. (English) Zbl 1379.53011 Mich. Math. J. 66, No. 4, 675-682 (2017). MSC: 53A07 35K96 PDFBibTeX XMLCite \textit{X. Li} and \textit{K. Wang}, Mich. Math. J. 66, No. 4, 675--682 (2017; Zbl 1379.53011) Full Text: DOI arXiv Euclid
Bonsante, Francesco; Fillastre, François The equivariant Minkowski problem in Minkowski space. (Le problème de Minkowski équivariant dans l’espace de Minkowski.) (English. French summary) Zbl 1421.52002 Ann. Inst. Fourier 67, No. 3, 1035-1113 (2017). MSC: 52A20 53C42 35J60 PDFBibTeX XMLCite \textit{F. Bonsante} and \textit{F. Fillastre}, Ann. Inst. Fourier 67, No. 3, 1035--1113 (2017; Zbl 1421.52002) Full Text: DOI arXiv
Chen, Xiuxiong; Wang, Yuanqi On the regularity problem of complex Monge-Ampere equations with conical singularities. (Sur le problème de régularité de l’équation de Monge-Ampère complexe avec singularités coniques.) (English. French summary) Zbl 1381.35056 Ann. Inst. Fourier 67, No. 3, 969-1003 (2017). MSC: 35J75 32Q20 32W20 PDFBibTeX XMLCite \textit{X. Chen} and \textit{Y. Wang}, Ann. Inst. Fourier 67, No. 3, 969--1003 (2017; Zbl 1381.35056) Full Text: DOI arXiv
Benelkourchi, Slimane Envelope approach to degenerate complex Monge-Ampère equations on compact Kähler manifolds. (English) Zbl 1386.32035 Can. Math. Bull. 60, No. 4, 705-711 (2017). Reviewer: Timur Sadykov (Moscow) MSC: 32W20 32U05 PDFBibTeX XMLCite \textit{S. Benelkourchi}, Can. Math. Bull. 60, No. 4, 705--711 (2017; Zbl 1386.32035) Full Text: DOI arXiv
Wang, Xu-Jia Monge-Ampère equation and optimal transportation. (English) Zbl 1379.35156 Lin, Chang-Shou (ed.) et al., Proceedings of the sixth international congress of Chinese mathematicians, ICCM 2013, Taipei, Taiwan, July 14–19, 2013. Volume I. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-348-7/pbk; 978-1-57146-350-0/set). Advanced Lectures in Mathematics (ALM) 36, 153-172 (2017). MSC: 35J96 35J20 PDFBibTeX XMLCite \textit{X.-J. Wang}, Adv. Lect. Math. (ALM) 36, 153--172 (2017; Zbl 1379.35156)
Benamou, Jean-David; Froese, Brittany D. Weak Monge-Ampère solutions of the semi-discrete optimal transportation problem. (English) Zbl 1380.65321 Bergounioux, Maïtine (ed.) et al., Topological optimization and optimal transport in the applied sciences. Berlin: De Gruyter (ISBN 978-3-11-043926-7/hbk; 978-3-11-043041-7/ebook). Radon Series on Computational and Applied Mathematics 17, 175-203 (2017). MSC: 65N06 35D40 35J96 PDFBibTeX XMLCite \textit{J.-D. Benamou} and \textit{B. D. Froese}, Radon Ser. Comput. Appl. Math. 17, 175--203 (2017; Zbl 1380.65321) Full Text: DOI
Neilan, Michael; Salgado, Abner J.; Zhang, Wujun Numerical analysis of strongly nonlinear PDEs. (English) Zbl 1381.65092 Acta Numerica 26, 137-303 (2017). Reviewer: Rolf Dieter Grigorieff (Berlin) MSC: 65N30 65N06 65N12 65N15 65N22 35J57 35J66 60H15 35J96 35F21 PDFBibTeX XMLCite \textit{M. Neilan} et al., Acta Numerica 26, 137--303 (2017; Zbl 1381.65092) Full Text: DOI arXiv
Le, Nam Q.; Nguyen, Truyen Global \(W^{1,p}\) estimates for solutions to the linearized Monge-Ampère equations. (English) Zbl 1379.35155 J. Geom. Anal. 27, No. 3, 1751-1788 (2017). Reviewer: Titus Petrila (Cluj-Napoca) MSC: 35J96 35B65 35B45 PDFBibTeX XMLCite \textit{N. Q. Le} and \textit{T. Nguyen}, J. Geom. Anal. 27, No. 3, 1751--1788 (2017; Zbl 1379.35155) Full Text: DOI arXiv
Darvas, Tamás Weak geodesic rays in the space of Kähler potentials and the class \(\mathcal{E}(X,\omega)\). (English) Zbl 1377.53092 J. Inst. Math. Jussieu 16, No. 4, 837-858 (2017). Reviewer: Włodzimierz Jelonek (Kraków) MSC: 53C55 32W20 32U05 PDFBibTeX XMLCite \textit{T. Darvas}, J. Inst. Math. Jussieu 16, No. 4, 837--858 (2017; Zbl 1377.53092) Full Text: DOI arXiv
Kołodziej, Sławomir Weak solutions of the Monge-Ampère equation on compact Hermitian manifolds. (English) Zbl 1384.32029 Int. J. Math. 28, No. 9, Article ID 1740002, 23 p. (2017). Reviewer: Rafał Czyz (Krakow) MSC: 32W20 32U15 32U05 32U40 53C55 PDFBibTeX XMLCite \textit{S. Kołodziej}, Int. J. Math. 28, No. 9, Article ID 1740002, 23 p. (2017; Zbl 1384.32029) Full Text: DOI
Lü, Ying Affine hypersurfaces with parallel shape operator. (English) Zbl 1376.53017 Result. Math. 72, No. 1-2, 181-192 (2017). MSC: 53A15 PDFBibTeX XMLCite \textit{Y. Lü}, Result. Math. 72, No. 1--2, 181--192 (2017; Zbl 1376.53017) Full Text: DOI
Demailly, Jean-Pierre Variational approach for complex Monge-Ampère equations and geometric applications. (English) Zbl 1431.32011 Séminaire Bourbaki. Volume 2015/2016. Exposés 1104–1119. Avec table par noms d’auteurs de 1948/49 à 2015/16. Paris: Société Mathématique de France (SMF). Astérisque 390, 245-275, Exp. No. 1112 (2017). MSC: 32W20 32Q20 53C55 PDFBibTeX XMLCite \textit{J.-P. Demailly}, Astérisque 390, 245--275, Exp. No. 1112 (2017; Zbl 1431.32011)
Jian, Huaiyu; Wang, Xu-Jia; Zhao, Yuwen Global smoothness for a singular Monge-Ampère equation. (English) Zbl 1378.35149 J. Differ. Equations 263, No. 11, 7250-7262 (2017). Reviewer: Dian K. Palagachev (Bari) MSC: 35J96 35B65 PDFBibTeX XMLCite \textit{H. Jian} et al., J. Differ. Equations 263, No. 11, 7250--7262 (2017; Zbl 1378.35149) Full Text: DOI
Le, Nam Q.; Mitake, Hiroyoshi; Tran, Hung V. The linearized Monge-Ampère equation. (English) Zbl 1392.35003 Mitake, Hiroyoshi (ed.) et al., Dynamical and geometric aspects of Hamilton-Jacobi and linearized Monge-Ampére equations. VIASM 2016. Based on lectures at the Rutgers University, NJ, USA, 2013. Cham: Springer (ISBN 978-3-319-54207-2/pbk; 978-3-319-54208-9/ebook). Lecture Notes in Mathematics 2183, 35-72 (2017). Reviewer: Vincenzo Vespri (Firenze) MSC: 35-02 35J96 PDFBibTeX XMLCite \textit{N. Q. Le} et al., Lect. Notes Math. 2183, 35--72 (2017; Zbl 1392.35003) Full Text: DOI
Wu, Yadong Boundary estimates of solutions for a class of Monge-Ampère equations. (English) Zbl 1375.53020 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 162, 22-32 (2017). Reviewer: Atsushi Fujioka (Osaka) MSC: 53A15 35J96 58J60 PDFBibTeX XMLCite \textit{Y. Wu}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 162, 22--32 (2017; Zbl 1375.53020) Full Text: DOI
Collins, Tristan C.; Mooney, Connor Dimension of the minimum set for the real and complex Monge-Ampère equations in critical Sobolev spaces. (English) Zbl 1386.35127 Anal. PDE 10, No. 8, 2031-2041 (2017). Reviewer: Igor G. Nikolaev (Urbana) MSC: 35J96 32W20 PDFBibTeX XMLCite \textit{T. C. Collins} and \textit{C. Mooney}, Anal. PDE 10, No. 8, 2031--2041 (2017; Zbl 1386.35127) Full Text: DOI arXiv
Stepanov, Vladimir Nikolaevich A characteristic property of the ball. (Russian. English summary) Zbl 1375.52003 Sib. Èlektron. Mat. Izv. 14, 614-619 (2017). MSC: 52A15 35J96 PDFBibTeX XMLCite \textit{V. N. Stepanov}, Sib. Èlektron. Mat. Izv. 14, 614--619 (2017; Zbl 1375.52003) Full Text: DOI
Davydov, Oleg; Saeed, Abid \(C^{1}\) quintic splines on domains enclosed by piecewise conics and numerical solution of fully nonlinear elliptic equations. (English) Zbl 1372.65304 Appl. Numer. Math. 116, 172-183 (2017). MSC: 65N30 35J96 PDFBibTeX XMLCite \textit{O. Davydov} and \textit{A. Saeed}, Appl. Numer. Math. 116, 172--183 (2017; Zbl 1372.65304) Full Text: DOI arXiv
Lindsey, Michael; Rubinstein, Yanir A. Optimal transport via a Monge-Ampère optimization problem. (English) Zbl 1479.35395 SIAM J. Math. Anal. 49, No. 4, 3073-3124 (2017). MSC: 35J60 65N12 PDFBibTeX XMLCite \textit{M. Lindsey} and \textit{Y. A. Rubinstein}, SIAM J. Math. Anal. 49, No. 4, 3073--3124 (2017; Zbl 1479.35395) Full Text: DOI arXiv
Chen, Shibing; Li, Qi-Rui; Zhu, Guangxian On the \(L_{p}\) Monge-Ampère equation. (English) Zbl 1388.35047 J. Differ. Equations 263, No. 8, 4997-5011 (2017). Reviewer: Igor Bock (Bratislava) MSC: 35J60 52A40 53A15 PDFBibTeX XMLCite \textit{S. Chen} et al., J. Differ. Equations 263, No. 8, 4997--5011 (2017; Zbl 1388.35047) Full Text: DOI
Lin, Chin-Cheng On the weak\(*\) convergence in \(H_{\mathcal{F}}^1(\mathbb{R}^n)\). (English) Zbl 1384.46020 J. Math. Anal. Appl. 455, No. 1, 463-476 (2017). Reviewer: Santiago Boza (Barcelona) MSC: 46E30 42B30 PDFBibTeX XMLCite \textit{C.-C. Lin}, J. Math. Anal. Appl. 455, No. 1, 463--476 (2017; Zbl 1384.46020) Full Text: DOI
Li, Qin; Liu, Zhi-yong Solving the 2-D elliptic Monge-Ampère equation by a Kansa’s method. (English) Zbl 1368.65213 Acta Math. Appl. Sin., Engl. Ser. 33, No. 2, 269-276 (2017). MSC: 65N12 65N99 35J60 PDFBibTeX XMLCite \textit{Q. Li} and \textit{Z.-y. Liu}, Acta Math. Appl. Sin., Engl. Ser. 33, No. 2, 269--276 (2017; Zbl 1368.65213) Full Text: DOI
Awanou, Gerard Erratum to: “Quadratic mixed finite element approximations of the Monge-Ampère equation in 2D”. (English) Zbl 1369.65140 Calcolo 54, No. 1, 281-297 (2017). MSC: 65N30 35J96 65N15 PDFBibTeX XMLCite \textit{G. Awanou}, Calcolo 54, No. 1, 281--297 (2017; Zbl 1369.65140) Full Text: DOI
Jiang, Feida; Xiang, Ni; Xu, Jinju Gradient estimates for Neumann boundary value problem of Monge-Ampère type equations. (English) Zbl 1384.35036 Commun. Contemp. Math. 19, No. 4, Article ID 1650041, 16 p. (2017). Reviewer: Igor G. Nikolaev (Urbana) MSC: 35J66 35J96 PDFBibTeX XMLCite \textit{F. Jiang} et al., Commun. Contemp. Math. 19, No. 4, Article ID 1650041, 16 p. (2017; Zbl 1384.35036) Full Text: DOI
Liu, Zhuomin; Malý, Jan A note on Sobolev isometric immersions below \(W^{2,2}\) regularity. (English) Zbl 1369.53044 Differ. Geom. Appl. 52, 1-10 (2017). MSC: 53C42 35J96 PDFBibTeX XMLCite \textit{Z. Liu} and \textit{J. Malý}, Differ. Geom. Appl. 52, 1--10 (2017; Zbl 1369.53044) Full Text: DOI
Mirghafouri, Maryam; Malek, Fereshteh Long-time existence of a geometric flow on closed Hessian manifolds. (English) Zbl 1367.53026 J. Geom. Phys. 119, 54-65 (2017). MSC: 53C15 53C21 53C44 53C55 PDFBibTeX XMLCite \textit{M. Mirghafouri} and \textit{F. Malek}, J. Geom. Phys. 119, 54--65 (2017; Zbl 1367.53026) Full Text: DOI
Tian, Gang A third derivative estimate for Monge-Ampere equations with conic singularities. (English) Zbl 1376.32040 Chin. Ann. Math., Ser. B 38, No. 2, 687-694 (2017). Reviewer: Rafał Czyz (Krakow) MSC: 32W20 32Q20 35J96 PDFBibTeX XMLCite \textit{G. Tian}, Chin. Ann. Math., Ser. B 38, No. 2, 687--694 (2017; Zbl 1376.32040) Full Text: DOI
Jiang, Yongsheng; Wu, Yonghong On the 2-dimensional dual Minkowski problem. (English) Zbl 1387.52015 J. Differ. Equations 263, No. 6, 3230-3243 (2017). Reviewer: Maria Angeles Alfonseca (Fargo) MSC: 52A38 35J15 35J96 PDFBibTeX XMLCite \textit{Y. Jiang} and \textit{Y. Wu}, J. Differ. Equations 263, No. 6, 3230--3243 (2017; Zbl 1387.52015) Full Text: DOI
Sun, Wei On uniform estimate of complex elliptic equations on closed Hermitian manifolds. (English) Zbl 1368.58009 Commun. Pure Appl. Anal. 16, No. 5, 1553-1570 (2017). Reviewer: Andrew Bucki (Edmond) MSC: 58J05 53C55 32W20 32Q15 PDFBibTeX XMLCite \textit{W. Sun}, Commun. Pure Appl. Anal. 16, No. 5, 1553--1570 (2017; Zbl 1368.58009) Full Text: DOI arXiv
Li, Dongsheng; Ma, Shanshan Boundary behavior of solutions of Monge-Ampère equations with singular righthand sides. (English) Zbl 1386.35128 J. Math. Anal. Appl. 454, No. 1, 79-93 (2017). Reviewer: Igor G. Nikolaev (Urbana) MSC: 35J96 35J25 35J67 PDFBibTeX XMLCite \textit{D. Li} and \textit{S. Ma}, J. Math. Anal. Appl. 454, No. 1, 79--93 (2017; Zbl 1386.35128) Full Text: DOI
Böröczky, Károly J.; Trinh, Hai T. The planar \(L_{p}\)-Minkowski problem for \(0<p<1\). (English) Zbl 1376.52013 Adv. Appl. Math. 87, 58-81 (2017). Reviewer: Maria A. Hernández Cifre (Murcia) MSC: 52A40 PDFBibTeX XMLCite \textit{K. J. Böröczky} and \textit{H. T. Trinh}, Adv. Appl. Math. 87, 58--81 (2017; Zbl 1376.52013) Full Text: DOI arXiv
Feng, Xiaobing; Jensen, Max Convergent semi-Lagrangian methods for the Monge-Ampère equation on unstructured grids. (English) Zbl 1362.65117 SIAM J. Numer. Anal. 55, No. 2, 691-712 (2017). MSC: 65N06 65N12 65N35 35J60 PDFBibTeX XMLCite \textit{X. Feng} and \textit{M. Jensen}, SIAM J. Numer. Anal. 55, No. 2, 691--712 (2017; Zbl 1362.65117) Full Text: DOI arXiv
Di Nezza, Eleonora; Lu, Chinh H. Complex Monge-Ampère equations on quasi-projective varieties. (English) Zbl 1380.32024 J. Reine Angew. Math. 727, 145-167 (2017). Reviewer: Slawomir Kołodziej (Kraków) MSC: 32Q15 32W20 PDFBibTeX XMLCite \textit{E. Di Nezza} and \textit{C. H. Lu}, J. Reine Angew. Math. 727, 145--167 (2017; Zbl 1380.32024) Full Text: DOI arXiv
Lewicka, Marta; Pakzad, Mohammad Reza Convex integration for the Monge-Ampère equation in two dimensions. (English) Zbl 1370.35151 Anal. PDE 10, No. 3, 695-727 (2017). Reviewer: Igor Bock (Bratislava) MSC: 35J96 PDFBibTeX XMLCite \textit{M. Lewicka} and \textit{M. R. Pakzad}, Anal. PDE 10, No. 3, 695--727 (2017; Zbl 1370.35151) Full Text: DOI arXiv
Baracco, Luca; Khanh, Tran Vu; Pinton, Stefano The complex Monge-Ampère equation on weakly pseudoconvex domains. (L’équation de Monge-Ampère complexe sur les domaines faiblement pseudo-convexes.) (English. French summary) Zbl 1373.32030 C. R., Math., Acad. Sci. Paris 355, No. 4, 411-414 (2017). Reviewer: Slawomir Kołodziej (Kraków) MSC: 32W20 32U05 PDFBibTeX XMLCite \textit{L. Baracco} et al., C. R., Math., Acad. Sci. Paris 355, No. 4, 411--414 (2017; Zbl 1373.32030) Full Text: DOI arXiv
Awanou, Gerard Standard finite elements for the numerical resolution of the elliptic Monge-Ampère equation: Aleksandrov solutions. (English) Zbl 1372.35120 ESAIM, Math. Model. Numer. Anal. 51, No. 2, 707-725 (2017). Reviewer: Georg Hebermehl (Berlin) MSC: 35J96 35J25 65N30 35R06 PDFBibTeX XMLCite \textit{G. Awanou}, ESAIM, Math. Model. Numer. Anal. 51, No. 2, 707--725 (2017; Zbl 1372.35120) Full Text: DOI arXiv
Rubinstein, Yanir A.; Zelditch, Steve The Cauchy problem for the homogeneous Monge-Ampère equation. III: Lifespan. (English) Zbl 1403.35144 J. Reine Angew. Math. 724, 105-143 (2017). Reviewer: Marco Abate (Pisa) MSC: 35K96 35J96 32W20 PDFBibTeX XMLCite \textit{Y. A. Rubinstein} and \textit{S. Zelditch}, J. Reine Angew. Math. 724, 105--143 (2017; Zbl 1403.35144) Full Text: DOI arXiv
Tosatti, Valentino; Weinkove, Ben The Monge-Ampère equation for \((n-1)\)-plurisubharmonic functions on a compact Kähler manifold. (English) Zbl 1366.32015 J. Am. Math. Soc. 30, No. 2, 311-346 (2017). Reviewer: Slawomir Kołodziej (Kraków) MSC: 32W20 32U05 32Q15 53C55 PDFBibTeX XMLCite \textit{V. Tosatti} and \textit{B. Weinkove}, J. Am. Math. Soc. 30, No. 2, 311--346 (2017; Zbl 1366.32015) Full Text: DOI arXiv
Le, Nam Q.; Savin, Ovidiu Schauder estimates for degenerate Monge-Ampère equations and smoothness of the eigenfunctions. (English) Zbl 1361.35066 Invent. Math. 207, No. 1, 389-423 (2017). Reviewer: Julien Keller (Marseille) MSC: 35J70 35J96 PDFBibTeX XMLCite \textit{N. Q. Le} and \textit{O. Savin}, Invent. Math. 207, No. 1, 389--423 (2017; Zbl 1361.35066) Full Text: DOI arXiv
Lewicka, Marta; Mahadevan, L.; Pakzad, Mohammad Reza The Monge-Ampère constraint: matching of isometries, density and regularity, and elastic theories of shallow shells. (Les contraintes de type Monge-Ampère: continuation des isometries, densité et regularité, et modèles variationnels pour les coques minces.) (English. French summary) Zbl 1359.35085 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 34, No. 1, 45-67 (2017). MSC: 35J96 35B65 53C24 74K25 74B20 35Q74 PDFBibTeX XMLCite \textit{M. Lewicka} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 34, No. 1, 45--67 (2017; Zbl 1359.35085) Full Text: DOI
Figalli, Alessio The Monge-Ampère equation and its applications. (English) Zbl 1435.35003 Zurich Lectures in Advanced Mathematics. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-170-5/pbk; 978-3-03719-670-0/ebook). x, 200 p. (2017). Reviewer: Alpár R. Mészáros (Durham) MSC: 35-02 35J96 35J60 35J66 35B65 53C45 PDFBibTeX XMLCite \textit{A. Figalli}, The Monge-Ampère equation and its applications. Zürich: European Mathematical Society (EMS) (2017; Zbl 1435.35003) Full Text: DOI
Di Nezza, Eleonora; Lu, Chinh H. Uniqueness and short time regularity of the weak Kähler-Ricci flow. (English) Zbl 1375.53083 Adv. Math. 305, 953-993 (2017). Reviewer: Nicoleta Aldea (Brasov) MSC: 53C44 53C55 PDFBibTeX XMLCite \textit{E. Di Nezza} and \textit{C. H. Lu}, Adv. Math. 305, 953--993 (2017; Zbl 1375.53083) Full Text: DOI arXiv
Bonsante, Francesco; Seppi, Andrea Spacelike convex surfaces with prescribed curvature in \((2+1)\)-Minkowski space. (English) Zbl 1351.53068 Adv. Math. 304, 434-493 (2017). MSC: 53C42 53B30 35J96 35K96 PDFBibTeX XMLCite \textit{F. Bonsante} and \textit{A. Seppi}, Adv. Math. 304, 434--493 (2017; Zbl 1351.53068) Full Text: DOI arXiv
Rakhmelevich, I. V. On solutions of the Monge-Ampere equation with power-law non-linearity with respect to first derivatives. (Russian. English summary) Zbl 07606852 Vestn. Tomsk. Gos. Univ., Mat. Mekh. 2016, No. 4(42), 33-43 (2016). MSC: 35-XX 34-XX PDFBibTeX XMLCite \textit{I. V. Rakhmelevich}, Vestn. Tomsk. Gos. Univ., Mat. Mekh. 2016, No. 4(42), 33--43 (2016; Zbl 07606852) Full Text: DOI MNR
Maldonado, Diego On the preservation of eccentricities of Monge-Ampère sections. (English) Zbl 1404.35216 Pereyra, María Cristina (ed.) et al., Harmonic analysis, partial differential equations, complex analysis, Banach spaces, and operator theory. Volume 1. Celebrating Cora Sadosky’s life. Cham: Springer (ISBN 978-3-319-30959-0/hbk; 978-3-319-30961-3/ebook). Association for Women in Mathematics Series 4, 201-231 (2016). MSC: 35J96 PDFBibTeX XMLCite \textit{D. Maldonado}, Assoc. Women Math. Ser. 4, 201--231 (2016; Zbl 1404.35216) Full Text: DOI
Campana, Frédéric; Păun, Mihai Positivity properties of the bundle of logarithmic tensors on compact Kähler manifolds. (English) Zbl 1388.32018 Compos. Math. 152, No. 11, 2350-2370 (2016). Reviewer: Antonella Nannicini (Firenze) MSC: 32Q10 32Q15 32U05 32U15 PDFBibTeX XMLCite \textit{F. Campana} and \textit{M. Păun}, Compos. Math. 152, No. 11, 2350--2370 (2016; Zbl 1388.32018) Full Text: DOI arXiv