Gabriella Bognar, Ondrej Dosly
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.
Show me the PDF file (214 KB), TEX file, and other files for this article.
Gabriella Bognar Department of Analysis, University of Miskolc H-3515 Miskolc-Egytemvaros, Hungary email: matvbg@uni-miskolc.hu | |
Ondrej Dosly Department of Mathematics and Statistics Masaryk University Kotlarska 2, CZ-611 37 Brno, Czech Republic email: dosly@math.muni.cz |
Return to the EJDE web page