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

Abstract

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