Uniqueness theorem for the entire positive solutions of biharmonic equations in Rn

By X. Xu. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2000

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Remark on some conformally invariant integral equations: the method of moving spheres (2003, background): “Liouville type theorems for various conformally invariant equations have received much attention, see, in addition to the above cited papers, [23], [17], [15], [33], [41] and [42].”
Exact solutions of nonlinear conformally invariant integral equations in R 3 (2005, unknown): “11) have been classified in [15,23,24].”
Nonlinear biharmonic equations with negative exponents (2009, background): “11) For n 5 and Qḡ being a positive constant, the smooth positive solutions have been classified in [19,24,25].”
Liouville Type Theorems for Positive Solutions of Elliptic System in ℝ N (2008, background): “…work, for example, Li and Zhu (1995) considered the half space case 266 Guo and Liu with nonlinear Neumann boundary condition, Lin (1998) and Xu (2000) considered the fourth order elliptic equations like − 2u+ uN+4N−4 = 0 N > 4 For other related results, we refer the readers to these papers…”
Liouville-type theorems for polyharmonic systems in RN (2006, methodology): “To overcome this difficulty, we follow an idea of Xu [9] for the single equation and apply the moving”