On Liouville theorem and apriori estimates for the scalar curvature equations
Chang-Shou Lin (1998)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Chang-Shou Lin (1998)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Pierpaolo Esposito (2002)
Rendiconti del Seminario Matematico della Università di Padova
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Man Chun Leung (2001)
Annales de l'I.H.P. Analyse non linéaire
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Zheng-Chao Han, Yan Yan Li (1996)
Annales de l'I.H.P. Analyse non linéaire
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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.
Graham, C.Robin (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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