Sturm comparison theorems via Picone-type inequalities for some nonlinear elliptic type equations with damped terms

In this paper, we establish a Picone-type inequality for a class of some nonlinear elliptic type equations with damped terms, and obtain Sturmian comparison theorems using the Picone-type inequality. As an application by using comparison theorem oscillation result and Wirtinger-type inequality are g...

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Bibliographic Details
Published in:Electronic journal of qualitative theory of differential equations 2014-01, Vol.2014 (46), p.1-12
Main Authors: Tiryaki, Aydın, Sahiner, Sinem
Format: Article
Language:English
Subjects:
elliptic equations
half-linear equations
oscillation criteria
picone-type inequality
sobolev space
wirtinger-type inequality
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Summary:In this paper, we establish a Picone-type inequality for a class of some nonlinear elliptic type equations with damped terms, and obtain Sturmian comparison theorems using the Picone-type inequality. As an application by using comparison theorem oscillation result and Wirtinger-type inequality are given.
ISSN:1417-3875
1417-3875
DOI:10.14232/ejqtde.2014.1.46