Norio Yoshida
Abstract:
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.
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Norio Yoshida Department of Mathematics, University of Toyama Toyama, 930-8555 Japan email: nori@sci.u-toyama.ac.jp |
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