Exotic solutions of the conformal scalar curvature equation in Rn
Man Chun Leung (2001)
Annales de l'I.H.P. Analyse non linéaire
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Displaying similar documents to “On Liouville theorem and apriori estimates for the scalar curvature equations”
Exotic solutions of the conformal scalar curvature equation in Rn
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Rendiconti del Seminario Matematico della Università di Padova
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Prescribing a fourth order conformal invariant on the standard sphere, part II : blow up analysis and applications
Zindine Djadli, Andrea Malchiodi, Mohameden Ould Ahmedou (2002)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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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 . We derive from this analysis some a priori estimates in dimension and . On 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 we prove the existence of at...
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Prescribing -curvature on higher dimensional spheres
Khalil El Mehdi (2005)
Annales mathématiques Blaise Pascal
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We study the problem of prescribing a fourth order conformal invariant on higher dimensional spheres. Particular attention is paid to the blow-up points, i.e. the critical points at infinity of the corresponding variational problem. Using topological tools and a careful analysis of the gradient flow lines in the neighborhood of such critical points at infinity, we prove some existence results.