Prescribing a fourth order conformal invariant on the standard sphere - Part I: a perturbation result

dc.creatorDjadli, Zindine
dc.creatorMalchiodi, Andrea
dc.creatorAhmedou, Mohameden Ould
dc.date2001-01-11
dc.date.accessioned2026-07-07T04:39:37Z
dc.date.available2026-07-07T04:39:37Z
dc.descriptionIn this paper we study some fourth order elliptic equation involving the critical Sobolev exponent, related to the prescription of a fourth order conformal invariant on the standard sphere. We use a topological method to prove the existence of at least a solution when the function to be prescribed is close to a constant and a finite dimensional map associated to it has non-zero degree.
dc.description27 pages
dc.identifierhttps://arxiv.org/abs/math/0101101
dc.identifierhttp://arxiv.org/abs/math/0101101
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60740
dc.subjectAnalysis of PDEs
dc.subjectDifferential Geometry
dc.subject53C21; 35B45; 35J60; 53A30; 58G30
dc.titlePrescribing a fourth order conformal invariant on the standard sphere - Part I: a perturbation result
dc.typetext

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