Very weak solutions of quadratic Hessian equations

Nonlinear Analysis 2026 Open access

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Authors: Sławomir Dinew, Szymon Myga
DOI: 10.1016/j.na.2026.114236
Cited by: 0
References: 24

Abstract

We extend the methods of Lewicka - Pakzad, Székelyhidi - Cao and Li - Qiu to study the notion of very weak solutions to the complex $σ_2$ equation in domains in $\mathbb C^n,\ n\geq 2$. As a by-product we sharpen the regularity threshold of the counterexamples obtained by Li and Qiu in the real case.

Fields of Study & Subjects

Geometric Analysis and Curvature Flows Black Holes and Theoretical Physics Navier-Stokes equation solutions

Publication details

Journal / source
Nonlinear Analysis
Publisher
Elsevier BV
Volume
274
Pages
114236–114236
Publication date
24 July 2026
Language
EN