Envelope Approach to Degenerate Complex Monge–Ampére Equations on Compact Kähler Manifolds
Canadian mathematical bulletin, Tome 60 (2017) no. 4, pp. 705-711
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We use the classical Perron envelope method to show a general existence theorem to degenerate complex Monge–Ampére type equations on compact Kähler manifolds.
Mots-clés :
32W20, 32Q25, 32U05, degenerate complex Monge–Ampère equation, compact Kähler manifold, big cohomology, plurisubharmonic function
Benelkourchi, Slimane. Envelope Approach to Degenerate Complex Monge–Ampére Equations on Compact Kähler Manifolds. Canadian mathematical bulletin, Tome 60 (2017) no. 4, pp. 705-711. doi: 10.4153/CMB-2017-048-7
@article{10_4153_CMB_2017_048_7,
author = {Benelkourchi, Slimane},
title = {Envelope {Approach} to {Degenerate} {Complex} {Monge{\textendash}Amp\'ere} {Equations} on {Compact} {K\"ahler} {Manifolds}},
journal = {Canadian mathematical bulletin},
pages = {705--711},
year = {2017},
volume = {60},
number = {4},
doi = {10.4153/CMB-2017-048-7},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2017-048-7/}
}
TY - JOUR AU - Benelkourchi, Slimane TI - Envelope Approach to Degenerate Complex Monge–Ampére Equations on Compact Kähler Manifolds JO - Canadian mathematical bulletin PY - 2017 SP - 705 EP - 711 VL - 60 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2017-048-7/ DO - 10.4153/CMB-2017-048-7 ID - 10_4153_CMB_2017_048_7 ER -
%0 Journal Article %A Benelkourchi, Slimane %T Envelope Approach to Degenerate Complex Monge–Ampére Equations on Compact Kähler Manifolds %J Canadian mathematical bulletin %D 2017 %P 705-711 %V 60 %N 4 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2017-048-7/ %R 10.4153/CMB-2017-048-7 %F 10_4153_CMB_2017_048_7
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