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Interior Hessian estimates for k-convex solutions of Hessian quotient equations with 2k>n

Wu, Ke
arXiv (All) · Papers
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35b4535b65analysis-of-pdesprimarysecondary
We establish interior Hessian estimates for $k$ convex solutions of $\frac{σ_k(D^2u)}{σ_l(D^2u)}=1$, where $2 \leq l n$.The proof combines a concavity inequality with a pointwise doubling argument.
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