We consider the Dirichlet problem
where is a bounded open set of with regular boundary, and are sufficiently smooth functions, and is non-negative. We prove that, under additional hypotheses on and , if is sufficiently small the problem has a plurisubharmonic solution.
Submitted May 15, 2003. Published April 6, 2004.
Math Subject Classifications: 35J70, 32W20, 32W05.
Key Words: Degenerate elliptic, omplex Monge-Ampere, Plurisubharmonic function.
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| Saoussen Kallel-Jallouli |
Faculte des Sciences, Campus Universitaire
1060 Tunis, Tunisie
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