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Pogorelov type $C^2$ estimates for sum Hessian equations

Published 9 Apr 2025 in math.AP | (2504.06711v1)

Abstract: In this paper, We establish Pogorelov type $C2$ estimates for the admissible solutions with $\sigma_k(D2u)$ bounded from below of Sum Hessian equations. We also proved the lower bounded condition can be removed when $k = n$.

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