The complex Monge-Ampère equation for complex homogeneous functions in ℂⁿ
Rafał Czyż
Annales Polonici Mathematici, Tome 77 (2001), p. 287-302 / Harvested from The Polish Digital Mathematics Library
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We prove some existence results for the complex Monge-Ampère equation (ddcu)ⁿ=gdλ in ℂⁿ in a certain class of homogeneous functions in ℂⁿ, 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.

Publié le : 2001-01-01
EUDML-ID : urn:eudml:doc:280997 
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Rafał Czyż. The complex Monge-Ampère equation for complex homogeneous functions in ℂⁿ. Annales Polonici Mathematici, Tome 77 (2001) pp. 287-302. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap76-3-7/