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

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 [Formula: see text] ([Formula: see text]) and bi-harmonic equations in [Formula: see text] with negative exponents. Such kind of equations arise from conformal geometry.