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• W1610366266 abstract "In this paper we perform a fine blow up analysis for a fourth order elliptic equation involving critical Sobolev exponent, related to the prescription of some conformal invariant on the standard sphere (S, h). We derive from this analysis some a priori estimates in dimension 5 and 6. On S these a priori estimates, combined with the perturbation result in the first part of the present work, allow us to obtain some existence result using a continuity method. On S we prove the existence of at least one solution when an index formula associated to this conformal invariant is different from zero." @default.
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• W1610366266 date "2002-01-01" @default.
• W1610366266 modified "2023-09-23" @default.
• W1610366266 title "Prescribing a fourth order conformal invariant on the standard sphere, part II : blow up analysis and applications" @default.
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