On Monge-Ampere equations with homogeneous right hand side

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dc.creatorDaskalopoulos, Pangiota
dc.creatorSavin, Ovidiu
dc.date2007-06-26
dc.date.accessioned2026-07-07T08:12:24Z
dc.date.available2026-07-07T08:12:24Z
dc.descriptionWe study the regularity and behavior at the origin of solutions to the two-dimensional degenerate Monge-Ampere equation with homogeneous right hand side of degree alpha, alpha>-2. We show that when alpha > 0, solutions admit only two possible behaviors near the origin, radial and non-radial. We also show that the radial behavior is unstable. For alpha<0 we prove that solutions admit only the radial behavior near the origin.
dc.identifierhttps://arxiv.org/abs/0706.3748
dc.identifierhttp://arxiv.org/abs/0706.3748
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132444
dc.subjectAnalysis of PDEs
dc.subject35J70
dc.titleOn Monge-Ampere equations with homogeneous right hand side
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