Geodesic
On nonexistence of nonnegative monotonic solutions for some quasilinear elliptic inequalities in a~half-space
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Function spaces, approximation theory, and related problems of mathematical analysis, Tome 293 (2016), pp. 146-156

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Based on the method of nonlinear capacity, we study the nonexistence of nonnegative monotonic solutions for the quasilinear elliptic inequality of the form $-\Delta_pu\ge u^q$ in a half-space in terms of the parameters $p$ and $q$. 
@article{TM_2016_293_a9,
     author = {E. I. Galakhov and O. A. Salieva},
     title = {On nonexistence of nonnegative monotonic solutions for some quasilinear elliptic inequalities in a~half-space},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {146--156},
     publisher = {mathdoc},
     volume = {293},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2016_293_a9/}
}
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E. I. Galakhov; O. A. Salieva. On nonexistence of nonnegative monotonic solutions for some quasilinear elliptic inequalities in a~half-space. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Function spaces, approximation theory, and related problems of mathematical analysis, Tome 293 (2016), pp. 146-156. http://geodesic.mathdoc.fr/item/TM_2016_293_a9/