E. I. Galakhov, O. A. Salieva, “On nonexistence of nonnegative monotonic solutions for some quasilinear elliptic inequalities in a half-space”, Trudy Mat. Inst. Steklova, 2016, Volume 293,Pages <nobr>146

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On nonexistence of nonnegative monotonic solutions for some quasilinear elliptic inequalities in a half-space

E. I. Galakhov^a, O. A. Salieva^b

^a Peoples' Friendship University of Russia, ul. Miklukho-Maklaya 6, Moscow, 117198 Russia
^b Moscow State University of Technology "STANKIN", Vadkovskii per. 1, Moscow, 127055 Russia

Abstract: 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 $q$.

UDC: 517.957

Received: December 20, 2015

DOI: 10.1134/S0371968516020102