A note on the Liouville theorem of fully nonlinear elliptic equations

2025/01/31 by Dongsheng Li, Li, Dongsheng, Lichun Liang +1
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.2501.19075

openalex publication_date 2025/01/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, a new method is presented to investigate the asymptotic behavior of solutions to the fully nonlinear uniformly elliptic equation F(D²u)=0 in exterior domains. This method does not depend on the C² regularity of F and the dimension n.

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