Nonexistence of Sign-Changing Solutions for Some Elliptic Inequalities in Bounded Domains

Abstract: Nonlinear elliptic inequalities in bounded domains and systems of such inequalities involving terms depending differently on the positive and negative parts of the sought function are considered. Sufficient conditions for the nonexistence of nontrivial solutions to the inequalities and systems under study in corresponding functional classes are obtained. © 2020, Pleiades Publishing, Ltd.