Abja, Soufian; Olive, Guillaume Local regularity for concave homogeneous complex degenerate elliptic equations dominating the Monge-Ampère equation. (English) Zbl 1486.35221 Ann. Mat. Pura Appl. (4) 201, No. 2, 561-587 (2022). MSC: 35J70 32W20 35B65 PDFBibTeX XMLCite \textit{S. Abja} and \textit{G. Olive}, Ann. Mat. Pura Appl. (4) 201, No. 2, 561--587 (2022; Zbl 1486.35221) Full Text: DOI
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 PDFBibTeX XMLCite \textit{J. Chu}, Anal. PDE 14, No. 6, 1671--1700 (2021; Zbl 1478.32122) Full Text: DOI arXiv
Chen, Xiuxiong; Feldman, Mikhail; Hu, Jingchen Geodesic convexity of small neighborhood in the space of Kähler potentials. (English) Zbl 1469.32016 J. Funct. Anal. 279, No. 7, Article ID 108603, 64 p. (2020). Reviewer: Gabriela Paola Ovando (Rosario) MSC: 32Q15 32W20 PDFBibTeX XMLCite \textit{X. Chen} et al., J. Funct. Anal. 279, No. 7, Article ID 108603, 64 p. (2020; Zbl 1469.32016) Full Text: DOI arXiv
Cheng, Jih-Hsin; Chiu, Hung-Lin; Hwang, Jenn-Fang; Yang, Paul Strong maximum principle for mean curvature operators on subRiemannian manifolds. (English) Zbl 1408.53044 Math. Ann. 372, No. 3-4, 1393-1435 (2018). Reviewer: Akira Asada (Takarazuka) MSC: 53C17 35J70 32V20 53A10 PDFBibTeX XMLCite \textit{J.-H. Cheng} et al., Math. Ann. 372, No. 3--4, 1393--1435 (2018; Zbl 1408.53044) Full Text: DOI arXiv
Isaev, Alexander On the CR-curvature of Levi degenerate tube hypersurfaces. (English) Zbl 1379.32030 Methods Appl. Anal. 23, No. 4, 317-328 (2016). Reviewer: Jiri Lebl (Stillwater) MSC: 32V05 35J96 PDFBibTeX XMLCite \textit{A. Isaev}, Methods Appl. Anal. 23, No. 4, 317--328 (2016; Zbl 1379.32030) Full Text: DOI arXiv
Jeffres, Thalia; Mazzeo, Rafe; Rubinstein, Yanir A. Kähler-Einstein metrics with edge singularities. (English) Zbl 1337.32037 Ann. Math. (2) 183, No. 1, 95-176 (2016). Reviewer: Antonella Nannicini (Firenze) MSC: 32Q20 53C55 PDFBibTeX XMLCite \textit{T. Jeffres} et al., Ann. Math. (2) 183, No. 1, 95--176 (2016; Zbl 1337.32037) Full Text: DOI arXiv
Guan, Pengfei; Zhang, Xi Regularity of the geodesic equation in the space of Sasakian metrics. (English) Zbl 1245.58016 Adv. Math. 230, No. 1, 321-371 (2012). Reviewer: Isabel Salavessa (Lisboa) MSC: 58J60 53C25 58D17 32W20 PDFBibTeX XMLCite \textit{P. Guan} and \textit{X. Zhang}, Adv. Math. 230, No. 1, 321--371 (2012; Zbl 1245.58016) Full Text: DOI arXiv
Yang, Paul Pseudo-Hermitian geometry in 3-D. (English) Zbl 1227.35219 Milan J. Math. 79, No. 1, 181-191 (2011). MSC: 35L80 35J70 32V20 53A10 49Q10 32W05 PDFBibTeX XMLCite \textit{P. Yang}, Milan J. Math. 79, No. 1, 181--191 (2011; Zbl 1227.35219) Full Text: DOI
Yuan, Yuan On the convergence of a modified Kähler-Ricci flow. (English) Zbl 1220.53084 Math. Z. 268, No. 1-2, 281-289 (2011). Reviewer: Julien Keller (Marseille) MSC: 53C44 32Q15 PDFBibTeX XMLCite \textit{Y. Yuan}, Math. Z. 268, No. 1--2, 281--289 (2011; Zbl 1220.53084) Full Text: DOI arXiv
Kalka, Morris; Patrizio, Giorgio Monge-Ampère foliations for degenerate solutions. (English) Zbl 1207.32035 Ann. Mat. Pura Appl. (4) 189, No. 3, 381-393 (2010). Reviewer: Manfred Stoll (Columbia) MSC: 32W20 32Q57 37F75 PDFBibTeX XMLCite \textit{M. Kalka} and \textit{G. Patrizio}, Ann. Mat. Pura Appl. (4) 189, No. 3, 381--393 (2010; Zbl 1207.32035) Full Text: DOI arXiv
Montanari, Annamaria On a class of geometric PDEs: the prescribed Levi curvature equations. (English) Zbl 1185.35110 Citti, Giovanna (ed.) et al., Conference on geometric methods in PDE’s. On the occasion of the 65th birthday of Ermanno Lanconelli. Lectures of the conference, Bologna, Italy, May 27–30, 2008. Potenza: Università degli Studi della Basilicata, Dipartimento di Matematica e Informatica (ISBN 978-88-902965-4-3/pbk). Lecture Notes of Seminario Interdisciplinare di Matematica 7, 223-235 (2008). MSC: 35J70 32T15 53A10 PDFBibTeX XMLCite \textit{A. Montanari}, Lect. Notes Semin. Interdiscip. Mat. 7, 223--235 (2008; Zbl 1185.35110)
Boutaleb, Mohammed An infinite-harmonic analogue of a Lelong theorem and infinite-harmonicity cells. (English) Zbl 1078.31005 Electron. J. Differ. Equ. 2004, Conf. 11, 81-93 (2004). MSC: 31C05 31B30 31A30 35J70 32D05 PDFBibTeX XMLCite \textit{M. Boutaleb}, Electron. J. Differ. Equ. 2004, 81--93 (2004; Zbl 1078.31005) Full Text: EuDML EMIS
Dzhuraev, Abduhamid On some properties of degenerate elliptic systems of partial differential equations. (English) Zbl 1161.35413 Barsegian, Grigor A. (ed.) et al., Topics in analysis and its applications. Proceedings of the NATO Advanced Research Workshop, Yerevan, Armenia, September, 22–25, 2002. Boston, MA: Kluwer Academic Publishers (ISBN 1-4020-2063-5/pbk; 1-4020-2062-7/hbk). NATO Science Series II: Mathematics, Physics and Chemistry 147, 191-227 (2004). MSC: 35J70 30G20 32W50 PDFBibTeX XMLCite \textit{A. Dzhuraev}, NATO Sci. Ser. II, Math. Phys. Chem. 147, 191--227 (2004; Zbl 1161.35413) Full Text: DOI
Montanari, Annamaria; Lascialfari, Francesca The Levi Monge-Ampère equation: smooth regularity of strictly Levi convex solutions. (English) Zbl 1217.35082 J. Geom. Anal. 14, No. 2, 331-353 (2004). MSC: 35J70 32W20 PDFBibTeX XMLCite \textit{A. Montanari} and \textit{F. Lascialfari}, J. Geom. Anal. 14, No. 2, 331--353 (2004; Zbl 1217.35082) Full Text: DOI
Grunewald, Natalie Mathematical analysis of a stick-slip motion in a random medium. (Mathematische Analyse einer Stick-Slip-Bewegung in zufälligem Medium.) (German) Zbl 1057.60097 Bonner Mathematische Schriften 363. Bonn: Univ. Bonn, Mathematisches Institut (Diss.). 65 p. (2004). MSC: 60K40 60K35 35K20 32Q60 PDFBibTeX XMLCite \textit{N. Grunewald}, Mathematische Analyse einer Stick-Slip-Bewegung in zufälligem Medium. Bonn: Univ. Bonn, Mathematisches Institut (Diss.) (2004; Zbl 1057.60097)
Citti, Giovanna; Tomassini, Giuseppe Levi equation for almost complex structures. (English) Zbl 1061.35025 Rev. Mat. Iberoam. 20, No. 1, 151-182 (2004). Reviewer: C. Bouzar (Oran) MSC: 35B65 35H10 32Q60 PDFBibTeX XMLCite \textit{G. Citti} and \textit{G. Tomassini}, Rev. Mat. Iberoam. 20, No. 1, 151--182 (2004; Zbl 1061.35025) Full Text: DOI EuDML
Blocki, Zbigniew Regularity of the degenerate Monge-Ampère equation on compact Kähler manifolds. (English) Zbl 1076.32036 Math. Z. 244, No. 1, 153-161 (2003). Reviewer: John Urbas (Canberra) MSC: 32W20 32Q15 PDFBibTeX XMLCite \textit{Z. Blocki}, Math. Z. 244, No. 1, 153--161 (2003; Zbl 1076.32036) Full Text: DOI
Brinkschulte, Judith The Cauchy-Riemann equation with support conditions on domains with Levi-degenerate boundaries. (English) Zbl 1022.32013 Berlin: Humboldt-Univ. Berlin, iii, 103 p. (2002). MSC: 32W05 32-02 32E40 PDFBibTeX XMLCite \textit{J. Brinkschulte}, The Cauchy-Riemann equation with support conditions on domains with Levi-degenerate boundaries. Berlin: Humboldt-Univ. Berlin (2002; Zbl 1022.32013) Full Text: Link
Wang, Wei Complex Monge-Ampère equations on general domains. (English) Zbl 1003.32008 Appl. Math., Ser. B (Engl. Ed.) 16, No. 3, 268-278 (2001). Reviewer: Alexandr Yu.Rashkovsky (Khar’kov) MSC: 32W20 35B45 35J70 PDFBibTeX XMLCite \textit{W. Wang}, Appl. Math., Ser. B (Engl. Ed.) 16, No. 3, 268--278 (2001; Zbl 1003.32008) Full Text: DOI
Cherednik, Ivan Lectures on Knizhnik-Zamolodchikov equations and Hecke algebras. (English) Zbl 1117.33300 Kashiwara, Masaki (ed.) et al., Quantum many-body problems and representation theory. Tokyo: Mathematical Society of Japan (ISBN 4-931469-01-9/pbk). MSJ Mem. 1, 1-96 (1998). Reviewer: V. Leksin (Kolomna) (MR1724948) MSC: 33C52 32G34 20C08 05E05 17B22 17B38 17B65 17B81 81R12 PDFBibTeX XMLCite \textit{I. Cherednik}, MSJ Mem. 1, 1--96 (1998; Zbl 1117.33300)
Qiu, Chunhui Koppelman-Leray-Norguet formula with weight factors on complex manifold and its applications. (Chinese. English summary) Zbl 0928.32002 J. Xiamen Univ., Nat. Sci. 37, No. 6, 807-813 (1998). MSC: 32A25 32W05 PDFBibTeX XMLCite \textit{C. Qiu}, J. Xiamen Univ., Nat. Sci. 37, No. 6, 807--813 (1998; Zbl 0928.32002)
Bouche, Thierry Heat kernel and holomorphic Morse inequalities for line bundles of degenerate curvature. (Noyau de la chaleur et inégalités de Morse holomorphes pour un fibré en droites à courbure dégénérée.) (French) Zbl 0768.32020 Bull. Sci. Math., II. Sér. 116, No. 2, 167-183 (1992). Reviewer: B.Kreußler (Kaiserslautern) MSC: 32L10 35K05 58J35 58E05 57R70 PDFBibTeX XMLCite \textit{T. Bouche}, Bull. Sci. Math., II. Sér. 116, No. 2, 167--183 (1992; Zbl 0768.32020)
Slodkowski, Zbigniew; Tomassini, Giuseppe Weak solutions for the Levi equation and envelope of holomorphy. (English) Zbl 0744.35015 J. Funct. Anal. 101, No. 2, 392-407 (1991). Reviewer: A.Pankov (Vinnitsa) MSC: 35J70 35A15 49L25 47F05 35J65 32D10 PDFBibTeX XMLCite \textit{Z. Slodkowski} and \textit{G. Tomassini}, J. Funct. Anal. 101, No. 2, 392--407 (1991; Zbl 0744.35015) Full Text: DOI
Sugiyama, Ken-ichi Einstein-Kähler metrics on minimal varieties of general type and an inequality between Chern numbers. (English) Zbl 0770.53021 Recent topics in differential and analytic geometry, Adv. Stud. Pure Math. 18-I, 417-443 (1990). MSC: 53C07 32Q20 PDFBibTeX XMLCite \textit{K.-i. Sugiyama}, Adv. Stud. Pure Math. None, 417--443 (1990; Zbl 0770.53021)
Machedon, Matei Estimates for the parametrix of the Kohn Laplacian on certain domains. (English) Zbl 0651.35017 Invent. Math. 91, No. 2, 339-364 (1988). Reviewer: M.Machedon MSC: 35J05 35A08 32T99 PDFBibTeX XMLCite \textit{M. Machedon}, Invent. Math. 91, No. 2, 339--364 (1988; Zbl 0651.35017) Full Text: DOI EuDML
Caffarelli, L.; Nirenberg, L.; Spruck, J. The Dirichlet problem for the degenerate Monge-Ampère equation. (English) Zbl 0611.35029 Rev. Mat. Iberoam. 2, No. 1-2, 19-27 (1986). Reviewer: S.D.Bajpai MSC: 35J65 35J70 35D05 35D10 32U05 PDFBibTeX XMLCite \textit{L. Caffarelli} et al., Rev. Mat. Iberoam. 2, No. 1--2, 19--27 (1987; Zbl 0611.35029) Full Text: DOI EuDML
Moriyón, Roberto The degenerate complex Monge-Ampère equation on thin annuli. (English) Zbl 0611.35011 Commun. Partial Differ. Equations 11, 1205-1242 (1986). Reviewer: D.Robert MSC: 35G30 35B65 32U05 35F15 PDFBibTeX XMLCite \textit{R. Moriyón}, Commun. Partial Differ. Equations 11, 1205--1242 (1986; Zbl 0611.35011) Full Text: DOI
Lempert, László Solving the degenerate complex Monge-Ampère equation with one concentrated singularity. (English) Zbl 0531.35020 Math. Ann. 263, 515-532 (1983). MSC: 35G20 31C10 32U05 35B60 PDFBibTeX XMLCite \textit{L. Lempert}, Math. Ann. 263, 515--532 (1983; Zbl 0531.35020) Full Text: DOI EuDML
Lee, John; Melrose, Richard Boundary behaviour of the complex Monge-Ampère equation. (English) Zbl 0496.35042 Acta Math. 148, 159-162 (1982). MSC: 35J70 32T99 58J99 PDFBibTeX XMLCite \textit{J. Lee} and \textit{R. Melrose}, Acta Math. 148, 159--162 (1982; Zbl 0496.35042) Full Text: DOI
Bedford, Eric Stability of envelopes of holomorphy and the degenerate Monge-Ampère equation. (English) Zbl 0492.32013 Math. Ann. 259, 1-28 (1982). MSC: 32D10 32A07 35G15 PDFBibTeX XMLCite \textit{E. Bedford}, Math. Ann. 259, 1--28 (1982; Zbl 0492.32013) Full Text: DOI EuDML
Higuchi, Teiichi; Sakamoto, Hiroshi On a harmonic function with respect to the Bergman metric. (English) Zbl 0431.31002 Sci. Rep. Yokohama Natl. Univ., Sect. I 23, 15-20 (1976). MSC: 31B05 32A25 32H30 31B35 35J05 PDFBibTeX XMLCite \textit{T. Higuchi} and \textit{H. Sakamoto}, Sci. Rep. Yokohama Natl. Univ., Sect. I 23, 15--20 (1976; Zbl 0431.31002)