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Hessian estimates for the sigma-2 equation in dimension four
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DOI：10.4007/annals.2025.201.2.4.png)
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Abstract
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We derive a priori interior Hessian estimates and interior regularity for the sigma 2 equation in dimension four. Our method provides both a new proof for the corresponding three dimensional results and a Hessian estimate for smooth solutions satisfying a dynamic semi-convexity condition in higher (n >= 5) dimensions.
Keywords:
k -Hessian equation
interior estimates and regularity
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5.3
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1.4K
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