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


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Abstract

Based on the method of nonlinear capacity, we study the nonexistence of nonnegative monotonic solutions for the quasilinear elliptic inequality of the form −Δpuuq in a half-space in terms of the parameters p and q.

About the authors

E. I. Galakhov

Peoples’ Friendship University of Russia

Author for correspondence.
Email: galakhov@rambler.ru
Russian Federation, ul. Miklukho-Maklaya 6, Moscow, 117198

O. A. Salieva

Moscow State University of Technology “STANKIN,”

Email: galakhov@rambler.ru
Russian Federation, Vadkovskii per. 1, Moscow, 127055

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