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/}
}
TY - JOUR AU - E. I. Galakhov AU - O. A. Salieva TI - On nonexistence of nonnegative monotonic solutions for some quasilinear elliptic inequalities in a~half-space JO - Trudy Matematicheskogo Instituta imeni V.A. Steklova PY - 2016 SP - 146 EP - 156 VL - 293 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TM_2016_293_a9/ LA - ru ID - TM_2016_293_a9 ER -
%0 Journal Article %A E. I. Galakhov %A O. A. Salieva %T On nonexistence of nonnegative monotonic solutions for some quasilinear elliptic inequalities in a~half-space %J Trudy Matematicheskogo Instituta imeni V.A. Steklova %D 2016 %P 146-156 %V 293 %I mathdoc %U http://geodesic.mathdoc.fr/item/TM_2016_293_a9/ %G ru %F TM_2016_293_a9
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/