Comparison theorems for Riccati inequalities arising in the theory of PDE's with p-Laplacian

Abstract

In this article, we study a Riccati inequality that appears in the theory of partial differential equations with p-Laplacian. Our results allow to compare existence and nonexistence of positive solutions for Riccati type inequalities which are associated with equations with different powers p.

Keywords

• PDE with p-Laplacian
• power comparison theorem
• Riccati inequality
• half-linear ODE