On nonexistence of nonnegative monotonic solutions for some quasilinear elliptic inequalities in a half-space

Based on the method of nonlinear capacity, we study the nonexistence of nonnegative monotonic solutions for the quasilinear elliptic inequality of the form −Δpu ≥ uqin a half-space in terms of the parameters p and q. © 2016, Pleiades Publishing, Ltd.