| Abstract: |
| We will discuss several Liouville-type theorems for nonnegative solutions associated with a class of nonhomogenenous quasilinear inequalities, namely
\begin{equation*}\tag{$P_s$}
-\Delta_p u-\Delta_q u\geq u^{s-1} \, \text{ in }\, \Omega,
\end{equation*}
where $p>q>1$, $s>1$ and $\Omega$ is any exterior domain of $\mathbb{R}^N$
and
\begin{equation*}\tag{$P_{sm}$}
-\Delta_p u-\Delta_q u \geq u^s |\nabla u|^m \quad \text{ in }\mathbb{R}^N,
\end{equation*}
where $p>q>1$, $N>q$ and $s, \, m\geq 0$. |
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