Hölder continuous solutions to Monge-Ampère equations

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dc.creatorGuedj, Vincent
dc.creatorKolodziej, Slawomir
dc.creatorZeriahi, Ahmed
dc.date2006-07-13
dc.date.accessioned2026-07-07T07:18:19Z
dc.date.available2026-07-07T07:18:19Z
dc.descriptionWe study the regularity of solutions to complex Monge-Ampère equations $(dd^c u)^n=f dV$, on bounded strongly pseudoconvex domains $ Ω\subset \C^n$. We show, under a mild technical assumption, that the unique solution $u$ to such an equation is Hölder continuous if the boundary values $ϕ$ are Hölder continuous and the density $f$ belongs to $L^p(Ω)$ for some $p>1$. This improves previous results by Bedford-Taylor and Kolodziej.
dc.identifierhttps://arxiv.org/abs/math/0607314
dc.identifierhttp://arxiv.org/abs/math/0607314
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/114257
dc.subjectComplex Variables
dc.subjectAnalysis of PDEs
dc.subject32W20, 32U15
dc.titleHölder continuous solutions to Monge-Ampère equations
dc.typetext

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