Le problème de Dirichlet pour les équations de Monge-Ampère complexes

Finally, we compare the Monge-Amp` ere capacities w.r.t different big classes (Theorem 2.4.6) and we use this result to give a partial positive answer to the stability property

In this paper, we establish the Gevrey regularity of solutions for a class of degenerate Monge-Amp` ere equations in the plane, under the as- sumption that one principle entry of

Zhang: On stability and continuity of bounded solutions of degener- ate complex Monge-Amp` ere equations over compact K¨ ahler manifolds. Advances in

The first ingredient of our proof is the power deterioration of all derivatives of solutions to Monge–Ampère equations with constant right-hand side (Lemma 1.1), which we prove

DELANOË, Équations du type de Monge-Ampère sur les variétés Riemanniennes compactes, I. DELANOË, Équations du type de Monge-Ampère sur les variétés

This paper is concerned with the global regularity of solutions of the second bound- ary value problem for equations of Monge-Amp`ere type and its application to the regularity

We show that if a positive Radon measure is suitably dominated by the Monge-Amp`ere capacity, then it belongs to the range of the Monge-Amp`ere op- erator on some class E χ ( X,

& SPRUCK, J., The Dirichlet problem for nonlinear second-order elliptic equations, II: Complex Monge-Amp~re equation and uniformly elliptic equations.. ~=