Abstract

We study some connections between Liouville type theorems and local properties of nonnegative solutions to conformal k-hessian equations by making use of an elementary lemma for all positive functions in Li and Zhang (J. Anal. Math. 90 (2003), 27-87) and related Liouville type theorems in Li and Li (Acta. Math. 195 (2005), 117-154).

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