Continuity properties on p for p -Laplacian parabolic problems

In this work we obtain some continuity properties on the parameter p at p = 2 for the Takeuchi–Yamada problem which is a degenerate p -Laplacian version of the Chafee–Infante problem. We prove the continuity of the flows and the equilibrium sets, and the upper semicontinuity of the global attractors...

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Veröffentlicht in:	Nonlinear analysis 2010-02, Vol.72 (3), p.1580-1588
Hauptverfasser:	Bruschi, Simone Mazzini, Gentile, Cláudia Buttarello, Primo, Marcos Roberto Teixeira
Format:	Artikel
Sprache:	eng
Schlagworte:	[formula omitted]-Laplacian Attractors Continuity on [formula omitted] Equilibria Exact sciences and technology Global analysis, analysis on manifolds Laplacian Mathematical analysis Mathematics Ordinary differential equations Sciences and techniques of general use Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
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Zusammenfassung:	In this work we obtain some continuity properties on the parameter p at p = 2 for the Takeuchi–Yamada problem which is a degenerate p -Laplacian version of the Chafee–Infante problem. We prove the continuity of the flows and the equilibrium sets, and the upper semicontinuity of the global attractors.
ISSN:	0362-546X 1873-5215
DOI:	10.1016/j.na.2009.08.044