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

• Main Authors: Aydin Tiryaki, Sinem Sahiner
• Format: Article
• Language: English
• Published: University of Szeged 2014-09-01
• Series: Electronic Journal of Qualitative Theory of Differential Equations
• Subjects: picone-type inequality; elliptic equations; sobolev space; half-linear equations; oscillation criteria; wirtinger-type inequality
• Online Access: http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=3050

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.