Nonexistence of Positive Solution for Quasilinear Elliptic Problems in the Half-Space

Abstract

Liouville-type results in ℝN or in the half-space ℝ+N might be important to obtain a priori estimates for positive solutions of associated problems in bounded domains via some procedure of blow up. In this work, we obtain a nonexistence result for the positive solution of up≤−Δmu≤Cup, in the half-space.