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

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.

Keywords

• Pseudo p(x)-Laplacian
• Picone-type inequality
• Sturmian comparison theorem