  Assume that $p > 1$ and $p - 1 \le \alpha \le p$ are real numbers and
$\Omega$ is a non-empty open subset of ${\mathbb R}^n$, $n \ge 2$. We consider
the inequality $$
  {\rm div} \, A (x, D u)
  +
  b (x) |D u|^\alpha
  \ge
  0, $$ where $D = (\partial / \partial x_1, \ldots, \partial / \partial x_n)$
is the gradient operator and $A : \Omega \times {\mathbb R}^n \to {\mathbb
R}^n$ and $b : \Omega \to [0, \infty)$ are some functions with $$
  C_1
  |\xi|^p
  \le
  \xi
  A (x, \xi),
  \quad
  |A (x, \xi)|
  \le
  C_2
  |\xi|^{p-1},
  \quad
  C_1, C_2 = const > 0, $$ for almost all $x \in \Omega$ and for all $\xi \in
{\mathbb R}^n$. For solutions of this inequality we obtain estimates depending
on the geometry of $\Omega$. In particular, these estimates imply regularity
conditions of a boundary point.
