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arXiv · 2409.08852

Very weak solutions of quadratic Hessian equations

Sławomir Dinew·Szymon Myga
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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 $\sigma_2$ 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.

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Sławomir Dinew, Szymon Myga. 2024-09-13. Very weak solutions of quadratic Hessian equations. https://arxiv.org/abs/2409.08852

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