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In this paper, we investigate various properties (e.g., nonexistence,asymptotic behavior, uniqueness and integral representation formula) ofpositive solutions to nonlinear tri-harmonic equations in $\mathbb{R}^{n}$($n\geq2$) and bi-harmonic equations in $\mathbb{R}^{2}$ with negativeexponents. Such kind of equations arise from conformal geometry.

On properties of positive solutions to nonlinear tri-harmonic and bi-harmonic equations with negative exponents