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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Research of the first author is supported by Tianyuan Fund of Mathematics (10826060).
Research of the second author is supported by Tianyuan Fund of Mathematics (10826061).
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Huang, Y., Xu, L. Singularity and decay estimates for the conformal k-hessian equation via Liouville-type theorems. Arch. Math. 93, 175–179 (2009). https://doi.org/10.1007/s00013-009-0022-7
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DOI: https://doi.org/10.1007/s00013-009-0022-7