On the Dirichlet problem for the degenerate real Monge Ampère equation.
Bert G. Wachsmuth (1992)
Mathematische Zeitschrift
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Bert G. Wachsmuth (1992)
Mathematische Zeitschrift
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Urban Cegrell (1984)
Mathematische Zeitschrift
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Urban Cegrell (2008)
Annales Polonici Mathematici
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We study a general Dirichlet problem for the complex Monge-Ampère operator, with maximal plurisubharmonic functions as boundary data.
S. Minakshisundaram (1962)
Mathematische Zeitschrift
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Mitsuru Nakai, Leo Sario (1971)
Mathematische Zeitschrift
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Sławomir Kołodziej (1996)
Annales Polonici Mathematici
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We find a bounded solution of the non-homogeneous Monge-Ampère equation under very weak assumptions on its right hand side.
Peter L. Walker (1982)
Mathematische Zeitschrift
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Lennart Carleson (1960)
Mathematische Zeitschrift
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Bhaskar Bagchi (1982)
Mathematische Zeitschrift
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John I.E. Urbas (1988)
Mathematische Zeitschrift
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Luis A. Caffarelli, Louis Nirenberg, Joel Spruck (1986)
Revista Matemática Iberoamericana
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Let Ω be a bounded convex domain in Rn with smooth, strictly convex boundary ∂Ω, i.e. the principal curvatures of ∂Ω are all positive. We study the problem of finding a convex function u in Ω such that: det (uij) = 0 in Ω u = φ given on ∂Ω.
Dieter Riebesehl, Friedmar Schulz (1984)
Mathematische Zeitschrift
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Urban Cegrell (1986)
Mathematische Zeitschrift
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