Electronic Journal of Differential Equations,
Vol. 2002(2002), No. 28, pp. 1-10.

Title: Oscillation criteria for a class of nonlinear partial differential
       equations
   
Author: Robert Marik (Mendel Univ., Czech Republic)

Abstract: 
 This paper presents sufficient conditions on the function $c(x)$
 to ensure that every solution of partial differential equation
 $$
 \sum_{i=1}^{n}{\partial \over \partial x_i}
 \Phi_{p}({\partial u \over \partial x_i})+B(x,u)=0, \quad
 \Phi_p(u):=|u|^{p-1}\mathop{\rm sgn} u. \quad p>1
 $$
 is weakly oscillatory, i.e. has zero outside of every ball in 
 $\mathbb{R}^n$.  The main tool is modified Riccati technique 
 developed for Schrodinger  operator by Noussair and Swanson [11].
 
 
Submitted May 24, 2001. Published March 8, 2002.
Math Subject Classifications: 35B05
Key Words: Oscillation criteria; nonlinear oscillation; unbounded domains.