We study various capacities on compact K\ue4hler manifolds which generalize the Bedford–Taylor Monge–Amp\ue8re capacity. We then use these capacities to study the existence and the regularity of solutions of complex Monge–Amp\ue8re equations
This short note concerns the homogeneous complex Monge-Ampère equation arising from the Chern-Levin...
The purpose of these lecture notes is to provide an introduction to the theory of complex Monge–Ampè...
AbstractLet (Vn, g) be a C∞ compact Riemannian manifold without boundary. Given the following change...
We study various capacities on compact Kähler manifolds which generalize the Bedford–Taylor Monge–Am...
LaTeX, 23 pagesInternational audienceLet $(X,\omega)$ be a compact Kähler manifold. We obtain unifor...
LaTeX, 23 pagesInternational audienceLet $(X,\omega)$ be a compact Kähler manifold. We obtain unifor...
The regularity theory of the degenerate complex Monge-Ampère equation is studied. First, the equatio...
We introduce generalized Monge–Amp\ue8re capacities and use these to study complex Monge–Amp\ue8re e...
AbstractWe obtain a stability estimate for the degenerate complex Monge–Ampère operator which genera...
The main threads of this thesis are related by the theme of the complex Monge-Ampère type equations....
We introduce generalized Monge–Ampère capacities and use these to study complex Monge–Ampère equatio...
We show that degenerate complex Monge-Amp\ue8re equations in a big cohomology class of a compact K\u...
International audienceWe develop an alternative approach to Degenerate complex Monge-Ampère equation...
AbstractWe study degenerate complex Monge–Ampère equations on a compact Kähler manifold (X,ω). We sh...
AbstractIn this paper, we obtain the Bedford–Taylor interior C2 estimate and local Calabi C3 estimat...
This short note concerns the homogeneous complex Monge-Ampère equation arising from the Chern-Levin...
The purpose of these lecture notes is to provide an introduction to the theory of complex Monge–Ampè...
AbstractLet (Vn, g) be a C∞ compact Riemannian manifold without boundary. Given the following change...
We study various capacities on compact Kähler manifolds which generalize the Bedford–Taylor Monge–Am...
LaTeX, 23 pagesInternational audienceLet $(X,\omega)$ be a compact Kähler manifold. We obtain unifor...
LaTeX, 23 pagesInternational audienceLet $(X,\omega)$ be a compact Kähler manifold. We obtain unifor...
The regularity theory of the degenerate complex Monge-Ampère equation is studied. First, the equatio...
We introduce generalized Monge–Amp\ue8re capacities and use these to study complex Monge–Amp\ue8re e...
AbstractWe obtain a stability estimate for the degenerate complex Monge–Ampère operator which genera...
The main threads of this thesis are related by the theme of the complex Monge-Ampère type equations....
We introduce generalized Monge–Ampère capacities and use these to study complex Monge–Ampère equatio...
We show that degenerate complex Monge-Amp\ue8re equations in a big cohomology class of a compact K\u...
International audienceWe develop an alternative approach to Degenerate complex Monge-Ampère equation...
AbstractWe study degenerate complex Monge–Ampère equations on a compact Kähler manifold (X,ω). We sh...
AbstractIn this paper, we obtain the Bedford–Taylor interior C2 estimate and local Calabi C3 estimat...
This short note concerns the homogeneous complex Monge-Ampère equation arising from the Chern-Levin...
The purpose of these lecture notes is to provide an introduction to the theory of complex Monge–Ampè...
AbstractLet (Vn, g) be a C∞ compact Riemannian manifold without boundary. Given the following change...
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