Results 161 to 170 of about 188 (177)
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Degenerate Monge-Ampere equations over projective manifolds

2006
In this thesis, we study degenerate Monge-Ampere equations over projective manifolds. The main degeneration is on the cohomology class which is Kähler in classic cases. Our main results concern the case when this class is semi-ample and big with certain generalization to more general cases. Two kinds of arguments are applied to study this problem.
openaire   +1 more source

A Liouville theorem for solutions to the linearized Monge-Ampere equation

Discrete and Continuous Dynamical Systems, 2010
Ovidiu Savin
exaly  

The global smooth solutions of Cauchy problems for hyperbolic equation of Monge-Ampere type

Nonlinear Analysis: Theory, Methods & Applications, 1995
Jiaxing Hong
exaly  

C1,1 regularity for degenerate complex Monge–Ampère equations and geodesic rays

Communications in Partial Differential Equations, 2018
Jianchun Chu, Valentino Tosatti
exaly  

Uniqueness of Nontrivial Solutions for Degenerate Monge–Ampere Equations

SIAM Journal on Mathematical Analysis
Genggeng Huang, Xianghui Xu
exaly  

Nontrivial solutions for the equations of Monge-Ampere type

Journal of Mathematical Analysis and Applications, 1988
exaly  

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