International Journal of Mathematics and Mathematical Sciences
Volume 2007 (2007), Article ID 27368, 10 pages
Research Article

Periodic Solutions of Evolution m-Laplacian Equations with a Nonlinear Convection Term

Wenjun Liu1,2

1College of Mathematics and Physics, Nanjing University of Information Science and Technology, Nanjing 210044, China
2Department of Mathematics, Southeast University, Nanjing 210096, China

Received 24 April 2006; Revised 23 October 2006; Accepted 29 November 2006

Academic Editor: Vladimir Mityushev

Copyright © 2007 Wenjun Liu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We show the existence and gradient estimates of periodic solutions in the case of 0α<m+1 to the evolution m-Laplacian equations of form utdiv{|u|mu}+b(u)u=f(t)uα+h(x,t), in Ω×1 with the Dirichlet boundary value condition.