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Recent
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Volume 52
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Volume 49
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Volume
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Vietnam
Journal of Mathematics 38:3 (2010) 261-280
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Attractors for Quasilinear Parabolic Equations
Involving Weighted p-Laplacian Operators
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Cung The Anh,
Nguyen Dinh Binh and Le Thi Thuy
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Abstract. In this paper, using
the asymptotic a priori estimate method, we prove the existence of global
attractors for a class of quasilinear degenerate parabolic equations
involving weighted p-Laplacian
operators in bounded domains. The obtained results, in particular, improve
some recent known results about the p-Laplacian
equations.
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2000 Mathematics Subject Classification: 35B41, 35K65,
35D05.
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Keywords: Quasilinear
degenerate parabolic equation, weighted p-Laplacian
operator, global solution, flobal attractor, compactness method ,
monotonicity method, symptotic a priori estimate method.
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by Vietnam Academy of Science and Technology & Vietnam Mathematical
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