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Título:
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A Note on the Cahn-Hilliard Equation in H1 (R N) Involving Critical Exponent
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Autores:
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Cholewa, Jan W. ;
Rodríguez Bernal, Aníbal
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Tipo de documento:
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texto impreso
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Editorial:
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Institute of Mathematics, Academy of Sciences of the Czech Republic, 2014
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/openAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Ecuaciones diferenciales
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Tipo = Artículo
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Resumen:
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We consider the Cahn-Hilliard equation in H1(RN ) with two types of critically growing nonlinearities: nonlinearities satisfying a certain limit condition as |u| ? ? and logistic type nonlinearities. In both situations we prove the H2(RN )-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)
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En línea:
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https://eprints.ucm.es/33265/1/RodBernal104.pdf
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