Dongsheng Li

collaborators

2 papers

math.AP2025

A note on the Liouville theorem of fully nonlinear elliptic equations

Dongsheng Li, Lichun Liang

In this paper, a new method is presented to investigate the asymptotic behavior of solutions to the fully nonlinear uniformly elliptic equation $F (D^{2} u) = 0$ in exterior domains. Thi…

math.AP2025

Quadratic growth solutions of fully nonlinear elliptic equations with periodic data

Dongsheng Li, Lichun Liang

In this paper, we study quadratic growth solutions $u$ of fully nonlinear elliptic equations of the form $F (D^{2} u) = f$ in $R^{n}$ , where $f$ is periodic and $F$ may be not uni…