A Note on Complex Monge-Ampère Equation in Stein Manifolds

Bahraini, Alireza

Asian J. Math., Tome 12 (2008) no. 1, p. 73-82 / Harvested from Project Euclid

Résumé

We study in this note the Dirichlet problem for complex Monge-Ampère equation in compact Stein manifolds with boundary. As far as we know among the global results for Monge- Ampère equations, compact manifolds with boundary have been less discussed.

Publié le : 2008-06-15
Classification: Monge-Ampère equation, Stein manifold, Continuity method, Pluri-subharmonic functions, 58J32, 35J25

@article{1213798134,
     author = {Bahraini, Alireza},
     title = {A Note on Complex Monge-Amp\`ere Equation in Stein Manifolds},
     journal = {Asian J. Math.},
     volume = {12},
     number = {1},
     year = {2008},
     pages = { 73-82},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1213798134}
}

Bahraini, Alireza. A Note on Complex Monge-Ampère Equation in Stein Manifolds. Asian J. Math., Tome 12 (2008) no. 1, pp.  73-82. http://gdmltest.u-ga.fr/item/1213798134/