Global attractors for one dimensional p-Laplacian equation

A. Kh Khanmamedov

doi:10.1016/j.na.2008.10.037

Global attractors for one dimensional p-Laplacian equation

A. Kh Khanmamedov

Division of Applied Mathematics

Research output: Contribution to journal › Article › peer-review

19 Citations (Scopus)

Abstract

We study the existence of the (L² (R), W^{1, p} (R))-global attractor for an evolution p-Laplacian equation. Under additional restrictions on force and source terms we improve the result of [A. Kh. Khanmamedov, Existence of a global attractor for the parabolic equation with nonlinear Laplacian principal part in an unbounded domain, J. Math. Anal. Appl. 316 (2006) 601-615] and correct the result of [M. Yang, C. Sun, C. Zhong, Existence of a global attractor for a p-Laplacian equation in Rⁿ, Nonlinear Anal. 66 (2007) 1-13] in the one dimensional case.

Original language	English
Pages (from-to)	155-171
Number of pages	17
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	71
Issue number	1-2
DOIs	https://doi.org/10.1016/j.na.2008.10.037
Publication status	Published - 1 Jul 2009

Keywords

Global attractors
p-Laplacian equation

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10.1016/j.na.2008.10.037

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AB - We study the existence of the (L2 (R), W1, p (R))-global attractor for an evolution p-Laplacian equation. Under additional restrictions on force and source terms we improve the result of [A. Kh. Khanmamedov, Existence of a global attractor for the parabolic equation with nonlinear Laplacian principal part in an unbounded domain, J. Math. Anal. Appl. 316 (2006) 601-615] and correct the result of [M. Yang, C. Sun, C. Zhong, Existence of a global attractor for a p-Laplacian equation in Rn, Nonlinear Anal. 66 (2007) 1-13] in the one dimensional case.

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KW - p-Laplacian equation

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JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 1-2

ER -

Global attractors for one dimensional p-Laplacian equation

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Keywords

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