Electronic Journal of Differential Equations,
Vol. 2012 (2012), No. 01, pp. 1-9.

Title: Picone-type inequality and Sturmian comparison theorems for
       quasilinear elliptic operators with p(x)-Laplacians

Author: Norio Yoshida (Univ. of Toyama, Japan)

Abstract:
 A Picone-type inequality for quasilinear elliptic operators
 with mixed nonlinearities and with p(x)-Laplacian is established,
 and Sturmian comparison theorems are derived on the basis of
 the Picone-type inequality. Generalizations to more general
 quasilinear elliptic operators with p(x)-Laplacians and
 specializations to quasilinear ordinary differential operators with
 p(t)-Laplacians are shown.

Submitted November 2, 2011. Published January 02, 2012.
Math Subject Classifications: 35B05, 35J92
Key Words: p(x)-Laplacian;  Picone-type inequality;
           quasilinear elliptic operators;  Sturmian comparison theorem; 
	   mixed nonlinearities.