21 citations · 54 across the 10 of their papers we have counts for
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A variational approach to complex Monge-Ampere equations
R. J. Berman, S. Boucksom, V. Guedj +1
We show that degenerate complex Monge-Ampere equations in a big cohomology class of a compact Kaehler manifold can be solved using a variational method independent of Yau's theorem…
Partial pluricomplex energy and integrability exponents of plurisubharmonic functions
P. Åhag, U. Cegrell, S. Kołodziej +2
We give a sufficient condition on the Monge-Ampère mass of a plurisubharmonic function for to be locally integrable. This gives a pluripotential theoretic proof…
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…
Domains of definition of Monge-Ampère operators on compact Kähler manifolds
Dan Coman, Vincent Guedj, Ahmed Zeriahi
Let be a compact Kähler manifold. We introduce and study the largest set of -plurisubharmonic (psh) functions on which the complex Monge-Ampère operator is we…
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…
A minimum principle for plurisubharmonic functions
Ahmed Zeriahi
The main goal of this work is to give new and precise generalizations to various classes of plurisubharmonic functions of the classical minimum modulus principle for holomorphic fu…