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Conditions for absence of solutions to some higher order elliptic inequalities with singular coefficients in $\mathbb{R}^n$

Conditions for absence of solutions to some higher order elliptic inequalities with singular coefficients in $\mathbb{R}^n$

In this paper we study Liouville type theorems for elliptic higher order inequalities with singular coefficients and gradient terms in R .Our approach is based on the Pokhozhaev nonlinear capacity method, which is widely used for studying various nonlinear elliptic inequalities.We obtain apriori estimates for solutions of an elliptic inequality …