Artículos de revistas
Lap number properties for p-Laplacian problems investigated by Lyapunov methods
Fecha
2007-03-01Registro en:
Nonlinear Analysis-theory Methods & Applications. Oxford: Pergamon-Elsevier B.V., v. 66, n. 5, p. 1005-1015, 2007.
0362-546X
10.1016/j.na.2006.01.006
WOS:000243829800001
Autor
Universidade Federal de São Carlos (UFSCar)
Universidade Estadual Paulista (Unesp)
Institución
Resumen
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.