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On Absence of Nonnegative Monotone Solutions for Some Coercive Inequalities in a Half-Space

On Absence of Nonnegative Monotone Solutions for Some Coercive Inequalities in a Half-Space

Using the nonlinear capacity method, we investigate the problem of absence of nonnegative monotone solutions for a quasilinear elliptic inequality of type Δpu≥uq in a half-space in terms of parameters p and q.