Positivity and nonexistence of solutions for quasilinear inequalities

Abstract

We prove a positivity property and a nonexistence theorem for weak solutions of quasilinear differential equalities in R^N. To obtain our results, we use a comparison principle. Also we establish a criterium for the existence of positive radial solutions.

Keywords

• Quasilinear inequality
• positivity property
• nonexistence theorem
• comparison principle