| Contents |
| Let $S\subset\mathbb{R}^n$ be a closed unbounded set. We consider nonlinear elliptic partial differential inequalities of the form
\[
(-\Delta)^k u \ge a(x)|Du|^q \quad (x\in\mathbb{R}^n\setminus S)
\]
and
\[
-\Delta_p u \ge a(x)|Du|^q \quad (x\in\mathbb{R}^n\setminus S)
\]
where the coefficient $a(x)$ may have a singularity on the set $S$, and their generalizations. We establish sufficient conditions for nonexistence of solutions to such inequalities in appropriate functional classes extending and improving in a certain sense the results of our paper \cite{1}.
\begin{thebibliography}{99}
\bibitem{1} E. Galakhov, O. Salieva. On blow-up for solutions of differential inequalities with singularities on unbounded sets. Journal of Mathematical Analysis and Applications, 2013, v. 408, p. 102-113.
\end{thebibliography} |
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