Year: 2026
Type: preprint
Abstract: We prove that continuous $2$-convex solutions of the $σ_{2}$ equation with a density bounded above and below by positive constants belong to $W^{2,1}_{\mathrm{loc}}$ in every dimension. If, in addition, the density is continuous, the solutions belong to $W^{2,p}_{\mathrm{loc}}$ for every $1
Source: arXiv (Cornell University)
Author: Lyu, Yasheng
Institution: Xi'an Jiaotong University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7212071055