| Contents |
| We discuss the antimaximum principle for
\begin{align}
-\Delta_p u &= \mu K(x) |u|^{p-2}u+h(x) \quad \mbox{in } B_1^c,\\
u &= 0 \quad \mbox{on } \partial B_1,
\end{align}
where $\Delta_p$ is the $p$-Laplace operator with $p>1,$ and $B_1^c$ is
the exterior of the closed unit ball in $\mathbb{R}^N$ with $N\geq 1$ and $h \geq 0$.
The weight function $K$ is such that supp$K^+$ is of non-zero measure and $ |K| \leq w$ for
some appropriate choice of a positive weight function $w\in L^1(1,\infty)$. |
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