Fully Nonlinear Elliptic Equations With Periodic Data

Autor:	Li, Dongsheng, Liang, Lichun
Rok vydání:	2024
Předmět:	Mathematics - Analysis of PDEs
Druh dokumentu:	Working Paper
Popis:	In this paper, we study solutions $u$ of fully nonlinear elliptic equations of the form $F(D^2u)=f$ in $\mathbb{R}^n$, where $f$ is periodic. We establish the existence and Liouville type results for entire quadratic polynomial growth solutions, that is, the solution is a quadratic polynomial plus a periodic function. As a consequence, we consider applications to $k$-Hessian equations.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2406.13927 Zobrazit plný text záznamu View this record from Arxiv