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

In this paper, we investigate various properties (e.g. nonexistence, asymptotic behavior, uniqueness and integral representation formula) of positive solutions to nonlinear tri-harmonic equations in ℝⁿ (n ≥ 2) and bi-harmonic equations in ℝ² with negative exponents. Such kind of equations arise from conformal geometry. [ABSTRACT FROM AUTHOR]