Existence and symmetry of least energy solutions for a class of quasi-linear elliptic equations
Louis Jeanjean, Marco Squassina (2009)
Annales de l'I.H.P. Analyse non linéaire
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Louis Jeanjean, Marco Squassina (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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Calahorrano, Marco, Mena, Hermann (2005)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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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).
Novotny, Antonin (1997)
Portugaliae Mathematica
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Alexander Zaslavski (2009)
Control and Cybernetics
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V. Caselles, A. Chambolle, S. Moll, M. Novaga (2008)
Annales de l'I.H.P. Analyse non linéaire
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