The structure of the critical set in the general mountain pass principle
Guangcai Fang (1994)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Guangcai Fang (1994)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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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.
G. Alessandrini, R. Magnanini (1992)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Giovanni Alessandrini (1987)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Charles Powder (1979)
Rendiconti del Seminario Matematico della Università di Padova
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Shigeru Sakaguchi (1994)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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