Gabriella Bognar, Ondrej Dosly
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.
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| Gabriella Bognar |
Department of Analysis, University of Miskolc
H-3515 Miskolc-Egytemvaros, Hungary
| Ondrej Dosly |
Department of Mathematics and Statistics
Kotlarska 2, CZ-611 37 Brno, Czech Republic
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