Geodesic
Picone-type inequality and Sturmian comparison theorems for quasilinear elliptic operators with \(p(x)\)-Laplacians
Electronic journal of differential equations, Tome 2012 (2012)
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.
Classification : 35B05, 35J92
Keywords: $p(x)$-Laplacian, Picone-type inequality, quasilinear elliptic operators, Sturmian comparison theorem, mixed nonlinearities 
@article{EJDE_2012__2012__a33,
     author = {Yoshida,  Norio},
     title = {Picone-type inequality and {Sturmian} comparison theorems for quasilinear elliptic operators with {\(p(x)\)-Laplacians}},
     journal = {Electronic journal of differential equations},
     year = {2012},
     volume = {2012},
     zbl = {1239.35057},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a33/}
}
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%A Yoshida,  Norio
%T Picone-type inequality and Sturmian comparison theorems for quasilinear elliptic operators with \(p(x)\)-Laplacians
%J Electronic journal of differential equations
%D 2012
%V 2012
%U http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a33/
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%F EJDE_2012__2012__a33
Yoshida,  Norio. Picone-type inequality and Sturmian comparison theorems for quasilinear elliptic operators with \(p(x)\)-Laplacians. Electronic journal of differential equations, Tome 2012 (2012). http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a33/