Electronic Journal of Differential Equations,
Vol. 2012 (2012), No. 174, pp. 1-8.

Title: Picone-type identity for pseudo p-Laplacian with variable power

Authors: Gabriella Bognar (Univ. of Miskolc, Hungary)
         Ondrej Dosly (Masaryk Univ., Czech Republic)

Abstract:
 A Picone type identity is established for homogeneous differential
 operators involving the pseudo p-Laplacian with variable exponent
 p=p(x). Using this identity, it is shown that the classical Sturmian
 theory extends to the associated partial differential equations.

Submitted September 12 2012. Published October 12, 2012.
Math Subject Classifications: 35B06, 35J15, 35J92.
Key Words: Pseudo p(x)-Laplacian; Picone-type inequality;
           Sturmian comparison theorem.