Journal of Inequalities and Applications
Volume 2006 (2006), Article ID 63061, 10 pages
doi:10.1155/JIA/2006/63061
Riccati inequality and oscillation criteria for PDE with P-Laplacian
Department of Mathematics, South China Normal University, Guangzhou 510631, China
Received 1 November 2003; Revised 25 December 2004; Accepted 25 December 2004
Copyright © 2006 Zhiting Xu. 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.
Abstract
Oscillation criteria for PDE with P-Laplacian div(A(x)‖Du‖p−2Du)+P(x)|u|p−2u=0 are obtained via Riccati inequality. Some of them are extensions of the results for the second-order linear ODE to this equation.