A note on the Liouville theorem of fully nonlinear elliptic equations

Dongsheng Li; Lichun Liang

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arXiv · 2501.19075

A note on the Liouville theorem of fully nonlinear elliptic equations

Dongsheng Li·Lichun Liang

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Abstract

In this paper, a new method is presented to investigate the asymptotic behavior of solutions to the fully nonlinear uniformly elliptic equation $F(D^2u)=0$ in exterior domains. This method does not depend on the $C^2$ regularity of $F$ and the dimension $n$.

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Dongsheng Li, Lichun Liang. 2025-01-31. A note on the Liouville theorem of fully nonlinear elliptic equations. https://arxiv.org/abs/2501.19075

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