Bedford, Eric; Taylor, B. A. The Dirichlet problem for a complex Monge-Ampère equation. (English) Zbl 0322.31008 Bull. Am. Math. Soc. 82, 102-104 (1976). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 9 Documents MSC: 31C10 Pluriharmonic and plurisubharmonic functions 32U05 Plurisubharmonic functions and generalizations 35Q99 Partial differential equations of mathematical physics and other areas of application 32D05 Domains of holomorphy 35J25 Boundary value problems for second-order elliptic equations PDFBibTeX XMLCite \textit{E. Bedford} and \textit{B. A. Taylor}, Bull. Am. Math. Soc. 82, 102--104 (1976; Zbl 0322.31008) Full Text: DOI EuDML References: [1] A. D. Aleksandrov, Dirichlet’s problem for the equation \?\?\?||\?\?\?||=\?(\?\(_{1}\),\cdots,\?_{\?},\?,\?\(_{1}\),\cdots,\?_{\?}). I, Vestnik Leningrad. Univ. Ser. Mat. Meh. Astr. 13 (1958), no. 1, 5 – 24 (Russian, with English summary). · Zbl 0114.30202 [2] H. J. Bremermann, On a generalized Dirichlet problem for plurisubharmonic functions and pseudo-convex domains. Characterization of Šilov boundaries, Trans. Amer. Math. Soc. 91 (1959), 246 – 276. · Zbl 0091.07501 [3] S. S. Chern, Harold I. Levine, and Louis Nirenberg, Intrinsic norms on a complex manifold, Global Analysis (Papers in Honor of K. Kodaira), Univ. Tokyo Press, Tokyo, 1969, pp. 119 – 139. · Zbl 0202.11603 [4] P. Lelong, Fonctions plurisousharmoniques et formes différentielles positives, Gordon & Breach, Paris-London-New York (Distributed by Dunod éditeur, Paris), 1968 (French). · Zbl 0192.20103 [5] A. V. Pogorelov, Monge-Ampère equations of elliptic type, Translated from the first Russian edition by Leo F. Boron with the assistance of Albert L. Rabenstein and Richard C. Bollinger, P. Noordhoff, Ltd., Groningen, 1964. · Zbl 0133.04902 [6] A. V. Pogorelov, The Dirichlet problem for the multidimensional analogue of the Monge-Ampère equation, Dokl. Akad. Nauk SSSR 201 (1971), 790 – 793 (Russian). [7] Y. T. Siu, Extension of meromorphic maps, Ann. of Math. (to appear). · Zbl 0318.32007 [8] J. B. Walsh, Continuity of envelopes of plurisubharmonic functions, J. Math. Mech. 18 (1968/1969), 143 – 148. · Zbl 0159.16002 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.