Abstract
Based on the method of nonlinear capacity, we study the nonexistence of nonnegative monotonic solutions for the quasilinear elliptic inequality of the form −Δ p u ≥ u q in a half-space in terms of the parameters p and q.
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Published in Russian in Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2016, Vol. 293, pp. 146–156.
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Galakhov, E.I., Salieva, O.A. On nonexistence of nonnegative monotonic solutions for some quasilinear elliptic inequalities in a half-space. Proc. Steklov Inst. Math. 293, 140–150 (2016). https://doi.org/10.1134/S0081543816040106
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DOI: https://doi.org/10.1134/S0081543816040106