Lap number properties for p-Laplacian problems investigated by Lyapunov methods
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Elsevier B.V.
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Resumo
In this work we consider a one-dimensional quasilinear parabolic equation and we prove that the lap number of any solution cannot increase through orbits as the time passes if the initial data is a continuous function. We deal with the lap number functional as a Lyapunov function, and apply lap number properties to reach an understanding on the asymptotic behavior of a particular problem. (c) 2006 Published by Elsevier Ltd.
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p-Laplacian, reaction-diffusion, lap number, omega-limit
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Inglês
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Nonlinear Analysis-theory Methods & Applications. Oxford: Pergamon-Elsevier B.V., v. 66, n. 5, p. 1005-1015, 2007.
