Very weak solutions of the Dirichlet problem for 2-Hessian equation
Analysis of PDEs
2025-09-29 v1
Abstract
For any small, we construct infinitely many very weak solutions to the 2-Hessian equation with prescribed boundary value. The proof relies on the convex integration method and cut-off technique.
Keywords
Cite
@article{arxiv.2403.09356,
title = {Very weak solutions of the Dirichlet problem for 2-Hessian equation},
author = {Tongtong Li and Guohuan Qiu},
journal= {arXiv preprint arXiv:2403.09356},
year = {2025}
}