Advanced Search

Match of the following rules

Add Sub-clause

Add Another Rule

Contains the following math formula (red border means the formula is incomplete)

Formula preview

The search session has expired. Please query the service again.

Currently displaying 1 – 2 of 2

Order by Relevance | Title | Year of publication

Weak solutions to the complex Monge-Ampère equation on hyperconvex domains

Slimane Benelkourchi — 2014

Annales Polonici Mathematici

We show a very general existence theorem for a complex Monge-Ampère type equation on hyperconvex domains.

A priori estimates for weak solutions of complex Monge-Ampère equations

Slimane Benelkourchi; Vincent Guedj; Ahmed Zeriahi — 2008

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Let $X$ be a compact Kähler manifold and $ω$ be a smooth closed form of bidegree $(1, 1)$ which is nonnegative and big. We study the classes $ℰ_{χ} (X, ω)$ of $ω$ -plurisubharmonic functions of finite weighted Monge-Ampère energy. When the weight $χ$ has fast growth at infinity, the corresponding functions are close to be bounded. We show that if a positive Radon measure is suitably dominated by the Monge-Ampère capacity, then it belongs to the range of the Monge-Ampère operator on some class $ℰ_{χ} (X, ω)$ . This is done by establishing...

Page 1

Download Results (CSV)