21 citations · 21 across the 6 of their papers we have counts for
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Weighted Pluricomplex energy II
Slimane Benelkourchi
We continue our study of the Complex Monge-Ampère Operator on the Weighted Pluricomplex energy classes. We give more characterizations of the range of the classes b…
Weak Solutions To Complex Monge-Ampère Equation on hyperconvex domains
Slimane Benelkourchi
We show a very general existence theorem to the complex Monge-Ampère type equation on hyperconvex domains.
Weak Solutions to Complex Monge-Ampère Equations on Compact Kähler Manifold
Slimane Benelkourchi
We show a general existence theorem to the complex Monge-Ampère type equation on compact Kähler manifolds.
Weighted pluricomplex energy
Slimane Benelkourchi
We study the complex Monge-Ampre operator on the classes of finite pluricomplex energy in the general case ( i.e. the total Monge-Ampre mass may be infin…
Plurisubharmonic functions with weak singularities
S. Benelkourchi, V. Guedj, A. Zeriahi
We study the complex Monge-Ampère operator in bounded hyperconvex domains of $\C^n$. We introduce a scale of classes of weakly singular plurisubharmonic functions : these are funct…
A priori estimates for weak solutions of complex Monge-Ampère equations
S. Benelkourchi, V. Guedj, A. Zeriahi
Let be a compact Kähler manifold and $\om$ a smooth closed form of bidegree which is nonnegative and big. We study the classes ${\mathcal E}_χ(X,\om)$ of $\om$-plurisub…