Multiplicity results for a class of semilinear elliptic equations on
Piero Montecchiari (1996)
Rendiconti del Seminario Matematico della Università di Padova
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Piero Montecchiari (1996)
Rendiconti del Seminario Matematico della Università di Padova
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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.
Vittorio Coti Zelati, Ivar Ekeland, Pierre-Louis Lions (1990)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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A. Bahri, P. H. Rabinowitz (1991)
Annales de l'I.H.P. Analyse non linéaire
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Guangcai Fang (1994)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Massimiliano Berti (1997)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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The existence of infinitely many heteroclinic orbits implying a chaotic dynamics is proved for a class of perturbed second order Lagrangian systems possessing at least 2 hyperbolic equilibria.