Picone-type inequalities for nonlinear elliptic equations and their applications

Abstract

Picone-type inequalities are derived for nonlinear elliptic equations, and Sturmian comparison theorems are established as applications. Oscillation theorems for forced super-linear elliptic equations and superlinear-sublinear elliptic equations are also obtained.

Keywords

• and Phrases: Picone-type inequality
• Nonlinear elliptic equation
• Sturmian comparison theorem
• Oscillation theorem