Very weak solutions of quadratic Hessian equations
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 σ2 equation in domains in Cn,\ n≥ 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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