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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Palamides, Alex P., Yannopoulos, Theodoros G. (2006)
Boundary Value Problems [electronic only]
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Philippe Gravejat (2004)
Annales de l'I.H.P. Analyse non linéaire
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Gelisken, Ali, Cinar, Cengiz, Yalcinkaya, Ibrahim (2008)
Discrete Dynamics in Nature and Society
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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).
Martín, Joaquim, Soria, Javier (2006)
Annales Academiae Scientiarum Fennicae. Mathematica
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Gelisken, Ali, Cinar, Cengiz, Karatas, Ramazan (2008)
Advances in Difference Equations [electronic only]
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Yalcinkaya, Ibrahim, Cinar, Cengiz, Gelisken, Ali (2010)
Discrete Dynamics in Nature and Society
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Novotny, Antonin (1997)
Portugaliae Mathematica
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N. Dilna, A. Rontó (2008)
Mathematica Bohemica
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New general unique solvability conditions of the Cauchy problem for systems of general linear functional differential equations are established. The class of equations considered covers, in particular, linear equations with transformed argument, integro-differential equations, neutral type equations and their systems of an arbitrary order.