Article ID Journal Published Year Pages File Type
4609982 Journal of Differential Equations 2014 62 Pages PDF
Abstract

We consider degenerate Monge–Ampere equations of the typedetD2u=fin Ω,f∼d∂Ωαnear ∂Ω, where d∂Ωd∂Ω represents the distance to the boundary of the domain Ω   and α>0α>0 is a positive power. We obtain C2C2 estimates at the boundary under natural conditions on the boundary data and the right-hand side. Similar estimates in two dimensions were obtained by J.X. Hong, G. Huang and W. Wang in [3].

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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