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Absence of Solutions for Some Nonhomogeneous Elliptic Inequalities

Absence of Solutions for Some Nonhomogeneous Elliptic Inequalities

By means of the modified method of test functions, we obtain sufficient conditions of absence of nontrivial solutions for some classes of semilinear elliptic inequalities of higher order and quasilinear elliptic inequalities containing nonhomogeneous terms (independent of the unknown function).