Picone-type inequality and Sturmian comparison theorems for quasilinear elliptic operators with $p(x)$-Laplacians
Electronic Journal of Differential Equations, Tome 2012 (2012).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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
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     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},
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     volume = {2012},
     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a33/}
}
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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/