Dirichlet problem for degenerate elliptic complex Monge-Ampere equation

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dc.contributor.authorKallel-Jallouli, Saoussen
dc.date.accessioned2021-04-14T21:09:41Z
dc.date.available2021-04-14T21:09:41Z
dc.date.issued2004-04-06
dc.description.abstractWe consider the Dirichlet problem det (∂2u/ ∂zi∂zj) = g(z, u) in Ω, u|∂Ω = φ, where Ω is a bounded open set of ℂn with regular boundary, g and φ are sufficiently smooth functions, and g is non-negative. We prove that, under additional hypotheses on g and φ, if | detφij - g|Cs* is sufficiently small the problem has a plurisubharmonic solution.
dc.description.departmentMathematics
dc.formatText
dc.format.extent24 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationKallel-Jallouli, S. (2004). Dirichlet problem for degenerate elliptic complex Monge-Ampere equation. <i>Electronic Journal of Differential Equations, 2004</i>(48), pp. 1-24.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13385
dc.language.isoen
dc.publisherSouthwest Texas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2003, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectDegenerate elliptic
dc.subjectOmplex Monge-Ampere
dc.subjectPlurisubharmonic function
dc.titleDirichlet problem for degenerate elliptic complex Monge-Ampere equation
dc.typeArticle

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