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 2, 2012.
Math Subject Classifications: 35B05, 35J92
Key Words: p(x)-Laplacian; Picone-type inequality; quasilinear elliptic operators; Sturmian comparison theorem; mixed nonlinearities.
Show me the PDF file (211 KB), TEX file, and other files for this article.
| Norio Yoshida |
Department of Mathematics, University of Toyama
Toyama, 930-8555 Japan
Return to the EJDE web page