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Interior $C^2$ estimate for Hessian quotient equation in dimension three (2311.05835v1)
Published 10 Nov 2023 in math.AP
Abstract: In this paper, we establish an interior $C2$ estimate for the Hessian quotient equation $\left(\frac{\sigma_3}{\sigma_1}\right)(D2u)=f$ in dimension three. A crucial ingredient in our proof is a Jacobi inequality.
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