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arXiv · 1805.05761

Regularity of Degenerate Hessian Equation

Slawomir Dinew·Szymon Plis·Xiangwen Zhang
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Abstract

We show a second order a priori estimate for solutions to the complex $k$-Hessian equation on a compact K\"ahler manifold provided the $(k$-$1)$-st root of the right hand side is $\mathcal C^{1,1}$. This improves an estimate of Hou-Ma-Wu. An example is provided to show that the exponent is sharp.

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Slawomir Dinew, Szymon Plis, Xiangwen Zhang. 2018-05-15. Regularity of Degenerate Hessian Equation. https://arxiv.org/abs/1805.05761

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