Existence of Conformal Metrics with Prescribed Q‐Curvature

Mohammed Ali Al-Ghamdi, Hichem Chtioui and Afef Rigane

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: We consider the problem of existence of conformal metrics with prescribed Q‐curvature on standard sphere Sn, n ≥ 5. Under the assumption that the order of flatness at critical points of prescribed Q‐curvature function K(x) is β ∈ ]1, n − 4], we give precise estimates on the losses of the compactness, and we prove new existence and multiplicity results through an Euler‐Hopf type formula.

Date: 2013
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https://doi.org/10.1155/2013/568245

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:568245

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