On removable singularities of solutions of higher order differential inequalities

We obtain sufficient conditions for solutions of the $m$th-order differential inequality $$\sum _{\mathrm{\mid }\alpha \mathrm{\mid }=m}{\mathrm{\partial }}^{\alpha }{a}_{\alpha }(x,u)\ge f(x)g(\mathrm{\mid }u\mathrm{\mid })in{B}_1\setminus \{0\}$$ to have a removable singularity at zero, where $a_{\alpha }$, $f$, and $g$ are some functions, and $B_1 = { x : |x| < 1 }$isaunitballin${\mathbb R}^n$. Constructed examples demonstrate the exactness of these conditions.