On the uniqueness of the second bound state solution of a semilinear equation
Carmen Cortázar, Marta García-Huidobro, Cecilia S. Yarur (2009)
Annales de l'I.H.P. Analyse non linéaire
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Carmen Cortázar, Marta García-Huidobro, Cecilia S. Yarur (2009)
Annales de l'I.H.P. Analyse non linéaire
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Palamides, Alex P., Yannopoulos, Theodoros G. (2006)
Boundary Value Problems [electronic only]
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Patrizia Pucci, Raffaella Servadei (2008)
Annales de l'I.H.P. Analyse non linéaire
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Jan W. Cholewa, Aníbal Rodríguez-Bernal (2014)
Mathematica Bohemica
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We consider the Cahn-Hilliard equation in with two types of critically growing nonlinearities: nonlinearities satisfying a certain limit condition as and logistic type nonlinearities. In both situations we prove the -bound on the solutions and show that the individual solutions are suitably attracted by the set of equilibria. This complements the results in the literature; see J. W. Cholewa, A. Rodriguez-Bernal (2012).
Alves, C.O., de Morais Filho, D.C., Souto, M.A.S. (1996)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Philippe Gravejat (2004)
Annales de l'I.H.P. Analyse non linéaire
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Laurençot, Ph. (1998)
Portugaliae Mathematica
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