Harmonic functions are used to construct nonzero solutions of the homogeneous Complex Monge-Ampere equation which particularize to results of Lempert and Bracci-Patrizio. Mathematics Subject Classification:35J15, 35J6
LaTeX, 23 pagesInternational audienceLet $(X,\omega)$ be a compact Kähler manifold. We obtain unifor...
When proving a sharp inequality in a harmonic analysis setting, one can sometimes recast the problem...
We give examples of regular boundary data for the Dirichlet problem for the complex homogeneous Mong...
This short note concerns the homogeneous complex Monge-Ampère equation arising from the Chern-Levin...
We study regularity properties of solutions to the Dirichlet problem for the complex Homogeneous Mon...
In the theory of holomorphic functions of one complex variable it is often useful to study subharmon...
ABSTRACT. We study regularity properties of solutions to the Dirichlet problem for the complex Homog...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/46601/1/222_2005_Article_BF01418826.pd
A regular, rank one solution u of the complex homogeneous Monge-Ampère equation (d dbar u)^n = 0 on...
In this thesis, we present a self-contained account of the current development in the local regulari...
In this thesis, we study the local regularity of the complex Monge-Ampère equation,(√−1∂∂̄u)n = fdx...
Nonhomogeneous Monge–Ampere equation (Monge–Ampère equation). 1◦. Particular cases: • for F (x, y) ...
We study reflection principle for several central objects in pluripotential theory. First we show th...
On a smooth domain ⊂⊂ Cn,we consider the Dirichlet problem for the complex Monge-Ampère equation ((d...
Homogeneous Monge–Ampere equation (Monge–Ampère Equation). 1◦. General solution in parametric form:...
LaTeX, 23 pagesInternational audienceLet $(X,\omega)$ be a compact Kähler manifold. We obtain unifor...
When proving a sharp inequality in a harmonic analysis setting, one can sometimes recast the problem...
We give examples of regular boundary data for the Dirichlet problem for the complex homogeneous Mong...
This short note concerns the homogeneous complex Monge-Ampère equation arising from the Chern-Levin...
We study regularity properties of solutions to the Dirichlet problem for the complex Homogeneous Mon...
In the theory of holomorphic functions of one complex variable it is often useful to study subharmon...
ABSTRACT. We study regularity properties of solutions to the Dirichlet problem for the complex Homog...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/46601/1/222_2005_Article_BF01418826.pd
A regular, rank one solution u of the complex homogeneous Monge-Ampère equation (d dbar u)^n = 0 on...
In this thesis, we present a self-contained account of the current development in the local regulari...
In this thesis, we study the local regularity of the complex Monge-Ampère equation,(√−1∂∂̄u)n = fdx...
Nonhomogeneous Monge–Ampere equation (Monge–Ampère equation). 1◦. Particular cases: • for F (x, y) ...
We study reflection principle for several central objects in pluripotential theory. First we show th...
On a smooth domain ⊂⊂ Cn,we consider the Dirichlet problem for the complex Monge-Ampère equation ((d...
Homogeneous Monge–Ampere equation (Monge–Ampère Equation). 1◦. General solution in parametric form:...
LaTeX, 23 pagesInternational audienceLet $(X,\omega)$ be a compact Kähler manifold. We obtain unifor...
When proving a sharp inequality in a harmonic analysis setting, one can sometimes recast the problem...
We give examples of regular boundary data for the Dirichlet problem for the complex homogeneous Mong...
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