Existence of positive solutions for some polyharmonic nonlinear equations in .
Mâagli, Habib, Zribi, Malek (2006)
Abstract and Applied Analysis
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Mâagli, Habib, Zribi, Malek (2006)
Abstract and Applied Analysis
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Philippe Gravejat (2004)
Annales de l'I.H.P. Analyse non linéaire
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Novotny, Antonin (1997)
Portugaliae Mathematica
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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).
Bezerra do Ó, João Marcos (1997)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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N. Ghoussoub, X. S. Kang (2004)
Annales de l'I.H.P. Analyse non linéaire
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Adriano Pisante (2006)
Annales de l'I.H.P. Analyse non linéaire
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