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Electronic Journal of Differential Equations

Article . 2012

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Picone-type inequality and Sturmian comparison theorems for quasilinear elliptic operators with p(x)-Laplacians

Name: Picone-type inequality and Sturmian comparison theorems for quasilinear elliptic operators with p(x)-Laplacians
Creator: Norio Yoshida
Keywords: Sturmian comparison theorem, Picone-type inequality, quasilinear elliptic operators, QA1-939, p(x)-Laplacian, mixed nonlinearities, 0101 mathematics, 01 natural sciences, Mathematics

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2012 English Publisher:Texas State UniversityJournal:Electronic Journal of Differential Equations (issn: 1072-6691,

Authors: Norio Yoshida;

Picone-type inequality and Sturmian comparison theorems for quasilinear elliptic operators with p(x)-Laplacians

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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.

Keywords

Sturmian comparison theorem, Picone-type inequality, quasilinear elliptic operators, QA1-939, p(x)-Laplacian, mixed nonlinearities, Mathematics

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