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 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.

Keywords

• picone-type inequality
• elliptic equations
• sobolev space
• half-linear equations
• oscillation criteria
• wirtinger-type inequality