Existence of conformal metrics on $S^n$ with prescribed fourth order invariant

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dc.creatorFelli, Veronica
dc.date2001-04-03
dc.date.accessioned2026-07-07T04:40:58Z
dc.date.available2026-07-07T04:40:58Z
dc.descriptionIn this paper we prescribe a fourth order conformal invariant on the standard $n-$sphere, with $n\geq5$, and study the related fourth order elliptic equation. We first find some existence results in the perturbative case. After some blow up analysis we build a homotopy to pass from the perturbative case to the non-perturbative one under some flatness condition. Finally we state some existence results under the assumption of symmetry.
dc.description30 pages
dc.identifierhttps://arxiv.org/abs/math/0104039
dc.identifierhttp://arxiv.org/abs/math/0104039
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61223
dc.subjectAnalysis of PDEs
dc.subjectDifferential Geometry
dc.titleExistence of conformal metrics on $S^n$ with prescribed fourth order invariant
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