TITLE

Conformal metrics with prescribed Q-curvature on S

AUTHOR(S)
Bensouf, Aymen; Chtioui, Hichem
PUB. DATE
July 2011
SOURCE
Calculus of Variations & Partial Differential Equations;Jul2011, Vol. 41 Issue 3/4, p455
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
In this paper we prescribe a fourth order conformal invariant on the standard n-sphere, with n ≥ 5, and study the related fourth order elliptic equation. We prove new existence results based on a new type of Euler-Hopf type formula. Our argument gives an upper bound on the Morse index of the obtained solution. We also give a lower bound on the number of conformal metrics having the same Q-curvature.
ACCESSION #
60644145

 

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