Conformal metrics with prescribed Q-curvature on S n |
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Authors: | Aymen Bensouf Hichem Chtioui |
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Affiliation: | 1. D??partement de Math??matiques, Facult?? des Sciences de Sfax, Universit?? de Sfax, Route Soukra, Sfax, Tunisia
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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?CHopf 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. |
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