Geodesic
On absence of nonnegative monotone solutions for some coercive inequalities in a~half-space
Contemporary Mathematics. Fundamental Directions, Differential and functional differential equations, Tome 63 (2017) no. 4, pp. 573-585

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Using the nonlinear capacity method, we investigate the problem of absence of nonnegative monotone solutions for a quasilinear elliptic inequality of type $\Delta_pu\ge u^q$ in a half-space in terms of parameters $p$ and $q$. 
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     author = {E. I. Galakhov and O. A. Salieva},
     title = {On absence of nonnegative monotone solutions for some coercive inequalities in a~half-space},
     journal = {Contemporary Mathematics. Fundamental Directions},
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E. I. Galakhov; O. A. Salieva. On absence of nonnegative monotone solutions for some coercive inequalities in a~half-space. Contemporary Mathematics. Fundamental Directions, Differential and functional differential equations, Tome 63 (2017) no. 4, pp. 573-585. http://geodesic.mathdoc.fr/item/CMFD_2017_63_4_a2/