Abstract
Using the nonlinear capacity method, we investigate the problem of nonexistence of nonnegative monotone solutions for a quasilinear elliptic inequality of type Δpu ≥ uq in a half-space in terms of parameters p and q.
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Translated from Sovremennaya Matematika. Fundamental’nye Napravleniya (Contemporary Mathematics. Fundamental Directions), Vol. 63, No. 4, Differential and Functional Differential Equations, 2017.
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Galakhov, E.I., Salieva, O.A. On Nonexistence of Nonnegative Monotone Solutions for Some Coercive Inequalities in a Half-Space. J Math Sci 259, 791–803 (2021). https://doi.org/10.1007/s10958-021-05662-2
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DOI: https://doi.org/10.1007/s10958-021-05662-2