Geodesic
The complex Monge–Ampère equation for complex homogeneous functions in ${\mathbb C}^n$
Rafał Czyż1
1 Department of Mathematics Jagiellonian University Reymonta 4 30-059 Krak/ow, Poland
Annales Polonici Mathematici, Tome 76 (2001) no. 3, pp. 287-302.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We prove some existence results for the complex Monge–Ampère equation $(dd^cu)^n =gd\lambda $ in ${\mathbb C}^n $ in a certain class of homogeneous functions in ${\mathbb C}^n $, i.e. we show that for some nonnegative complex homogeneous functions $g$ there exists a plurisubharmonic complex homogeneous solution $u$ of the complex Monge–Ampère equation.
DOI : 10.4064/ap76-3-7
Keywords: prove existence results complex monge amp equation lambda mathbb certain class homogeneous functions mathbb nonnegative complex homogeneous functions there exists plurisubharmonic complex homogeneous solution complex monge amp equation

Rafał Czyż 1

1 Department of Mathematics Jagiellonian University Reymonta 4 30-059 Krak/ow, Poland 
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Rafał Czyż. The complex Monge–Ampère equation for complex homogeneous functions in ${\mathbb C}^n$. Annales Polonici Mathematici, Tome 76 (2001) no. 3, pp. 287-302. doi : 10.4064/ap76-3-7. http://geodesic.mathdoc.fr/articles/10.4064/ap76-3-7/

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