Geodesic
The behaviour of solutions of elliptic inequalities that are non-linear with respect to the highest derivatives
Izvestiya. Mathematics , Tome 71 (2007) no. 1, pp. 15-51

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This paper deals with non-negative solutions of the elliptic inequalities $\operatorname{div} A(x,Du)\ge F(x,u)$ in $\Omega$, where $A\colon\Omega\times\mathbb R^n\to\mathbb R^n$ and $F\colon\Omega\times[0,\infty)\to[0,\infty)$ are functions and $\Omega$ is an unbounded open subset of $\mathbb R^n$, $n\geqslant2$. 
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     author = {A. A. Kon'kov},
     title = {The behaviour of solutions of elliptic inequalities that are non-linear with respect to the highest derivatives},
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A. A. Kon'kov. The behaviour of solutions of elliptic inequalities that are non-linear with respect to the highest derivatives. Izvestiya. Mathematics , Tome 71 (2007) no. 1, pp. 15-51. http://geodesic.mathdoc.fr/item/IM2_2007_71_1_a2/