Very weak solutions of quadratic Hessian equations
Analysis of PDEs
2024-09-16 v1 Complex Variables
Abstract
We extend the methods of Lewicka - Pakzad, Sz\'ekelyhidi - Cao and Li - Qiu to study the notion of very weak solutions to the complex equation in domains in . As a by-product we sharpen the regularity threshold of the counterexamples obtained by Li and Qiu in the real case.
Cite
@article{arxiv.2409.08852,
title = {Very weak solutions of quadratic Hessian equations},
author = {Sławomir Dinew and Szymon Myga},
journal= {arXiv preprint arXiv:2409.08852},
year = {2024}
}