Lap number properties for p-Laplacian problems investigated by Lyapunov methods
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Data
2007-03-01
Autores
Gentile, Claudia B.
Bruschi, Simone M.
Título da Revista
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Editor
Elsevier B.V.
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.
Descrição
Palavras-chave
p-Laplacian, reaction-diffusion, lap number, omega-limit
Como citar
Nonlinear Analysis-theory Methods & Applications. Oxford: Pergamon-Elsevier B.V., v. 66, n. 5, p. 1005-1015, 2007.