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Existence of Conformal Metrics with Prescribed Q-Curvature

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  • Mohammed Ali Al-Ghamdi
  • Hichem Chtioui
  • Afef Rigane

Abstract

We consider the problem of existence of conformal metrics with prescribed Q-curvature on standard sphere . Under the assumption that the order of flatness at critical points of prescribed Q-curvature function is , we give precise estimates on the losses of the compactness, and we prove new existence and multiplicity results through an Euler-Hopf type formula.

Suggested Citation

  • Mohammed Ali Al-Ghamdi & Hichem Chtioui & Afef Rigane, 2013. "Existence of Conformal Metrics with Prescribed Q-Curvature," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-11, March.
    • Handle: RePEc:hin:jnlaaa:568245
    DOI: 10.1155/2013/568245
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