Electronic Journal of Differential Equations, Vol. 2011 (2011), No. 53, pp. 1-9. Title: Comparison theorems for Riccati inequalities arising in the theory of PDE's with p-Laplacian Authors: Ondrej Dosly (Masaryk Univ. Brno, Czech Republic) Simona Fisnarova (Mendel Univ., Brno, Czech Republic) Robert Marik (Mendel Univ., Brno, Czech Republic) 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. Submitted February 18, 2011. Published April 13, 2011. Math Subject Classifications: 35J92, 35B05, 35B09. Key Words: PDE with p-Laplacian; power comparison theorem; Riccati inequality; half-linear ODE.