Nonexistence of classical solutions of the Dirichlet problem for fully nonlinear elliptic equations
N. Kutev (1991)
Archivum Mathematicum
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Displaying similar documents to “On a class of Monge-Ampére problems with non-homogeneous Dirichlet boundary condition.”
Nonexistence of classical solutions of the Dirichlet problem for fully nonlinear elliptic equations
The Dirichlet problem for the degenerate Monge-Ampère equation.
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.
Erratum to : “Classical solvability in dimension two of the second boundary value problem associated with the Monge–Ampère operator”
Ph. Delanoë (2007)
Annales de l'I.H.P. Analyse non linéaire
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A general Dirichlet problem for the complex Monge-Ampère operator
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.
Some sufficient conditions for solvability of the Dirichlet problem for the complex Monge-Ampère operator
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.
The generalized Dirichlet problem for equations of Monge-Ampère type
John I. E. Urbas (1986)
Annales de l'I.H.P. Analyse non linéaire
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Classical solvability in dimension two of the second boundary-value problem associated with the Monge-Ampère operator
P. Delanoë (1991)
Annales de l'I.H.P. Analyse non linéaire
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Comparison Principles for Subelliptic Equations of Monge-Ampère Type
Martino Bardi, Paola Mannucci (2008)
Bollettino dell'Unione Matematica Italiana
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We present two comparison principles for viscosity sub- and supersolutions of Monge-Ampére-type equations associated to a family of vector fields. In particular, we obtain the uniqueness of a viscosity solution to the Dirichlet problem for the equation of prescribed horizontal Gauss curvature in a Carnot group.